tag:blogger.com,1999:blog-87791168675487725202024-03-13T14:20:10.678-07:00ELIS LISNAWATI Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.comBlogger11125tag:blogger.com,1999:blog-8779116867548772520.post-88297165075582203802013-05-19T01:46:00.001-07:002013-05-19T01:52:17.691-07:00Tips Kecantikan Alami<!--[if !mso]>
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<![endif]--><a href="http://www.blogger.com/blogger.g?blogID=8779116867548772520" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Berbagai kumpulan <a href="http://cantikinfo.blogspot.com/2012/12/tips-kecantikan-alami.html"><span style="color: #943634; mso-themecolor: accent2; mso-themeshade: 191;">tips kecantikan
alami</span></a>, mulai dari kecantikan wajah, kulit, tubuh, hingga kecantikan
kuku, khusus untuk sahabat yang selalu ingin tampil cantik alami. Siapa sih
yang tidak ingin tampil cantik dan menarik ? Setiap wanita pasti ingin selalu
tampil cantik alami, sehingga berbagai perawatan pun dilakukan untuk
mendapatkan kecantikan tersebut, mulai dari perawatan tradisional hingga
perawatan di salon-salon kecantikan, yang tentunya membutuhkan biaya yang tidak
sedikit pula.</span><br />
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<a href="http://1.bp.blogspot.com/-ZM28C0hElsA/UZiSiyqbGtI/AAAAAAAAAEs/8oX1H_a4Rpk/s1600/tips+beauty+nature.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://1.bp.blogspot.com/-ZM28C0hElsA/UZiSiyqbGtI/AAAAAAAAAEs/8oX1H_a4Rpk/s1600/tips+beauty+nature.jpg" /></a><a href="http://www.blogger.com/blogger.g?blogID=8779116867548772520" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a><a href="http://www.blogger.com/blogger.g?blogID=8779116867548772520" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a></div>
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<a href="http://cantikinfo.blogspot.com/2012/12/tips-kecantikan-alami.html"><span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-no-proof: yes; mso-themecolor: accent2; mso-themeshade: 191; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"></span></span></a><span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;"></span></div>
<div align="center" class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: center;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Sumber gambar : blogspot.com</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Sebagian orang
mengatakan cantik itu mahal, tetapi bagi saya cantik itu relatif dan semua
wanita pasti terlahir cantik. Semua itu hanya tergantung bagaimana cara kita
merawat dan mempertahankan kecantikan tersebut. Dalam artikel kali ini saya
akan memberikan informasi menarik seputar <a href="http://cantikinfo.blogspot.com/2012/12/tips-kecantikan-alami.html"><span style="color: #943634; mso-themecolor: accent2; mso-themeshade: 191;">tips kecantikan</span></a>
alami dengan menggunakan bahan-bahan alami dan tradisional yang mudah dan tanpa
efek samping. Untuk lebih lengkapnya silahkan lihat dalam artikel berikut ini :</span></div>
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<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">* <b><i>Perawatan
Wajah</i></b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Hal utama yang harus
dilakukan untuk tampil cantik adalah melakukan perawatan wajah, karena
kebanyakan orang menilai kecantikan dari wajah. Sahabat dapat melakukan
perawatan wajah dengan bahan-bahan alami sebagai berikut :</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Tomat</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Tomat mempunyai
kandungan vitamin C yang baik bagi kulit, sehingga tomat dapat digunakan sebagai
masker untuk merawat kecantikan wajah dengan cara menumbuk atau memblender
tomat hingga halus. Setelah halus gunakan tomat tersebut sebagai masker wajah,
ratakan dengan cara menepuk-nepuk bagian wajah secara perlahan. Manfaat dari
masker tomat ini adalah untuk mengurangi kelebihan minyak pada wajah,
menghaluskan kulit, dan memberi nutrisi pada kulit.</span><br />
<a name='more'></a></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Jeruk Nipis</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Jeruk nipis dapat
membuat kulit wajah menjadi bersih, segar dan bebas dari bakteri penyebab
jerawat, karena asam yang terdapat pada jeruk nipis dapat mematikan bakteri
pada wajah. Sahabat dapat mencobanya dengan cara membelah dan mengoleskannya
langsung pada wajah. Saat menggunakan jeruk nipis pada wajah mungkin akan
terasa sedikit perih selama beberapa saat, tetapi hasil yang akan didapat akan
bermanfaat baik bagi kulit.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Lemon</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Lemon mengandung
Vitamin C yang dapat merawat dan mencerahkan warna kulit, selain itu lemon juga
bermanfaat untuk memudarkan flek hitam pada wajah. Caranya dengan memotong
lemon menjadi 2 bagian, setelah itu peras lemon ke dalam mangkuk. Celupkan
kapas pada air lemon, lalu gosokkan kapas ke wajah sahabat dengan gerakan
melingkar. Diamkan sisa lemon pada wajah, tanpa dibilas dan biarkan selama
semalaman agar kandungan lemon meresap pada kulit wajah. </span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">* <b><i>Perawatan Kulit</i></b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Setelah melakukan
perawatan wajah dengan baik, langkah selanjutnya adalah dengan melakukan
perawatan kulit agar kulit selalu terlihat sehat dan lembut dengan bahan-bahan
alami sebagai berikut ini :</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Mentimun</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Mentimun dapat
bermanfaat untuk menyegarkan dan melembabkan kulit karena mentimun mempunyai
banyak kandungan air didalamnya. Selain itu Niacin yang terkandung di dalam
mentimun juga dapat bermanfaat untuk memutihkan kulit secara alami. Caranya
dengan memarut mentimun dengan ukuran sedang, lalu tambahkan 10 tetes air
lemon. Setelah itu oleskan ke seluruh bagian tubuh, biarkan selama 15 menit dan
bilas dengan air bersih.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Minyak Zaitun</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Minyak zaitun
bermanfaat untuk menghaluskan kulit tubuh. Caranya juga sangat mudah hanya
dengan mengoleskannya secara teratur pada bagian kulit yang kering setiap hari.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Air Kelapa</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Air kelapa memiliki
kandungan asam amino dan Vitamin C yang dapat memelihara dan mencerahkan kulit
secara alami. Caranya dengan mengoleskan air kelapa segar pada kulit tubuh.
Sebaiknya lakukanlah setiap 1 minggu sekali.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">* <b><i>Perawatan Kuku</i></b></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Selain wajah dan
kulit, kuku juga menjadi pusat perhatian dalam melakukan perawatan kecantikan.
Sahabat dapat mencobanya dengan berbagai cara seperti di bawah ini :</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Belimbing Wuluh</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Belimbing wuluh
bermanfaat untuk membersihkan kotoran yang terdapat pada sela-sela kuku dan
kulit luar dan dapat memperkuat kuku. Caranya dengan menggosokkan potongan
belimbing wuluh pada kuku yang mau dibersihkan, setelah itu bilas dengan air
bersih.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Lemon</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Bagi sahabat yang
mempunyai jenis kuku rapuh dan mudah patah, bisa mencoba dengan menggunakan air
perasan lemon dengan cara merendam kuku ke dalam perasan lemon yang telah
dicampur dengan 1 sendok madu dan air hangat. Rendam kuku selama 10-15 menit. Lakukanlah
secara teratur dan dapatkan kuku bersih dan bercahaya.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">- <i>Bawang Putih</i></span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Bawang putih mempunyai
kandungan zat yang berguna untuk menguatkan kuku. Caranya parutlah bawang putih
hingga halus, kemudian oleskan pada kuku. Tunggu beberapa menit, setelah itu
bersihkan kuku dengan air bersih.</span></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">Itulah berbagai
kumpulan <a href="http://cantikinfo.blogspot.com/2012/12/tips-kecantikan-alami.html"><span style="color: #943634; mso-themecolor: accent2; mso-themeshade: 191;">tips kecantikan</span></a>
alami yang dapat saya bagi kepada sahabat. Semoga artikel ini dapat bermanfaat
bagi sahabat. Terima kasih dan sampai bertemu lagi di artikel selanjutnya. ^^</span><br />
<br />
<span style="color: #943634; font-family: "Matura MT Script Capitals"; font-size: 12.0pt; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-themecolor: accent2; mso-themeshade: 191;">suber : http://cantikinfo.blogspot.com/2012/12/tips-kecantikan-alami.html </span></div>
<div class="MsoNormal">
<br /></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-56986245038997373012013-05-19T01:26:00.001-07:002013-05-19T01:28:59.633-07:006 Hal yang dinilai Pria dalam 6 Detik Tentang Wanita<!--[if gte mso 9]><xml>
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<span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Penilaian
pertama hanya memakan waktu 10 detik. Bagaimana penilaian kaum adam terhadap
wanita dalam enam detik pertama? </span><br />
<b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Senyum</span></b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;"><br />
Apakah wanita ini tersenyum manis dan natural? Atau senyum masam dan palsu,
atau senyum Anda lebar tapi ada sisa makanan menyelip di gigi.</span><br />
<span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Senyum
Anda menjadi poin pertama untuk penilaian.</span><br />
<b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Rambut</span></b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;"><br />
Pria tidak perlu rambut bak model shampoo. Mereka hanya butuh rambut Anda
terkesan lembut dan harum. Karena itu pastikan mencuci rambut sesering mungkin,
dan menggunakan conditioner.</span><br />
<a name='more'></a><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;"><br />
<b><br />
<b><span style="font-family: Jokerman;">Cleavage</span></b></b> <br />
Atau belahan dada menjadi magnet bagi kaum pria. Bukan berarti Anda harus
menampilkan keseluruhan, tapi belahan dada yang “mengintip” membuat pria
penasaran dan lebih memperhatikan Anda.</span><br />
<b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Riasan</span></b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;"><br />
Jika dandanan menor, dengan cepat pria menduga Anda berusaha menutupi wajah
asli. Selain itu ada rasa risih dengan warna-warna yang terlalu mencolok.</span><br />
<b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">Kulit</span></b><span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;"><br />
Pria tidak peduli dengan satu dua jerawat mungil di wajah. Tapi ya, mereka
peduli dengan kulit anda yang kusam dan tidak terawat. Jadi tidak perlu risau
dengan satu jerawat, khawatir jika kulit Anda tidak terjaga kesehatannya.<br />
<b><br />
<b><span style="font-family: Jokerman;">Tas</span></b></b> <br />
Apa tas yang Anda bawa? Semakin besar tas yang dipakai, semakin pria berpikir
Anda tipe wanita dengan perawatan yang rumit.</span><br />
<br />
<span style="color: #f79646; font-family: Jokerman; mso-themecolor: accent6;">sumber : http://www.beritaunik.net/tips-trik/6-hal-yang-dinilai-pria-dalam-6-detik-tentang-wanita.html </span><br />
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<![endif]-->Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com1tag:blogger.com,1999:blog-8779116867548772520.post-78944074515814969592013-05-05T01:59:00.000-07:002013-05-19T01:30:55.225-07:00Banyak Masalah, UN SMA Tetap Dinyatakan Sah<div style="color: magenta;">
"Pelaksanaan
UN SMA sederajat Tahun Pelajaran 2012/2013 telah mengikuti prosedur
yang ditetapkan maka pelaksanaan UN adalah sah," kata Kepala BSNP Aman
Wirakartakusumah di Jakarta, Senin (29/4/2013).</div>
<div style="color: magenta; font-family: Georgia,"Times New Roman",serif;">
<br />
Aman menyatakan,
pelaksanaan UN tersebut diklaim sah setelah mendapatkan konfirmasi dari
Majelis Rektor Perguruan Tinggi Negeri (MRPTN) dan berdasarkan berbagai
bahan acuan.<br />
<br />
Sebelumnya pelaksanaan UN tingkat SMA sederajat
Tahun 2012/2013 di 11 provinsi bergeser dari jadwal semula pada 15 April
2013 menjadi 19 April 2013 dengan alasan pengepakan naskah soal di
percetakan mengalami kendala teknis. Sempat dikhawatirkan, pergeseran
jadwal ujian tersebut menimbulkan kebocoran soal.<br />
<a name='more'></a><br />
<br />
Aman
menguraikan bahwa proses pelaksanaan UN yang bergeser di 11 provinsi,
sehingga terjadi penggandaan soal yang sudah diamankan dan secara proses
sudah memenuhi prosedur. Untuk mengurangi kemungkinan kebocoran soal,
maka dibuat surat edaran ke seluruh provinsi bahwa naskah UN di simpan
secara baik dan aman serta rahasia di masing-masing provinsi.<br />
<br />
<br />
Senada
dengan Aman, Ketua MRPTN Idrus Paturusi mengatakan setelah dilakukan
konsolidasi dengan beberapa rektor lainnya yang bertanggung jawab
terhadap pelaksanaan UN, walaupun pada hari pertama ditemukan beberapa
kendala namun secara umum berjalan sesuai yang diharapkan. <br />
<br />
"Maka saya menyatakan semua telah dilaksanakan sesuai dengan prosedur operasi standar," kata Idrus.<br />
<br />
Wakil
Menteri Pendidikan dan Kebudayaan Musliar Kasim mengatakan, pihaknya
berani menyatakan UN tersebut sah karena sudah sesuai prosedur standar
dan tidak terjadi kebocoran, sebab soal berbeda antara wilayah timur dan
tengah. Sementara itu, investigasi juga sudah dilakukan oleh
inspektorat jenderal pendidikan dan diharapkan selesai pekan ini.</div>
<div class="separator" style="clear: both; text-align: center;">
<a href="http://3.bp.blogspot.com/-C6ud59NN__U/UYYfaVzsnII/AAAAAAAAAEY/emst9zft9Us/s1600/1040157-riz--hari-pertama-ujian-nasional--620X310.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="164" src="http://3.bp.blogspot.com/-C6ud59NN__U/UYYfaVzsnII/AAAAAAAAAEY/emst9zft9Us/s320/1040157-riz--hari-pertama-ujian-nasional--620X310.jpg" width="320" /></a></div>
<div style="background-color: magenta;">
Badan Standar Nasional Pendidikan
(BSNP) mengklaim Ujian Nasional (UN) untuk tingkat SMA sederajat tahun
2012/2013 sah. Meskipun jadwal pelaksanaannya di bergeser di sejumlah
daerah, UN untuk SMA dinilai telah berjalan sesuai prosedur.</div>
<br />
SUMBER : http://edukasi.kompas.com/read/2013/04/29/1609393/Banyak.Masalah.UN.SMA.Tetap.Dinyatakan.SahAnonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-12359656728121405892013-04-21T18:43:00.001-07:002013-05-18T20:14:48.226-07:00 Fakta Sejarah Tentang RA Kartini<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-WTsE-4AfYv8/UXScVcWJevI/AAAAAAAAACQ/4oLs8IqfdRg/s1600/ra+kartini.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="http://2.bp.blogspot.com/-WTsE-4AfYv8/UXScVcWJevI/AAAAAAAAACQ/4oLs8IqfdRg/s320/ra+kartini.jpg" width="295" /></a></div>
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<br />
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Siapa sebenarnya ibu RA
Kartini? istri sah (Garwa Padmi/ Permaisuri) atau Garwa Ampil ( baca:
selir) atau ‘istri muda’? </span></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Polemik yang berkembang di
masyarakat sudah terjawab kini. Fakta Sejarah menyebutkan bahwa istri
bupati <b>Rembang ke 7 Djojo Adiningrat</b> yang pertama R.A.A.A Sukarmilah
wafat pada 13 November 1902 dan tidak mempunyai anak. Setahun kemudian tepatnya
12 November 1903, bupati Rembang menikahi RA Kartini dengan
cara sederhana. RA Kartini wafat pada 17 September 1904, 4 hari
sebelumnya, yaitu pada tanggal 13 September 1904, ia melahirkan anak yang
di beri nama <b>Singgih/ RM Soesalit</b>. Posisi saat RA Kartini meninggal atau
menghembuskan nafasnya terakhir yaitu berada di pangkuan suaminya (menurut
pengakuan para abdi dalem yang ada saat peristiwa itu), bukan di atas tempat
tidur (seperti dalam film RA Kartini yang di sutradarai oleh alm
Sjuman Djaya).</span></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">RM Soesalit pernah menjabat sebagai Panglima Divisi
III/ Diponegoro di kota Yogyakarta dan Magelang ( periode 1 Oktober 1946 – 1
Juni 1948) dengan pangkat terakhir Mayor Jenderal. RM Soesalit menikahi <b>Gusti
Bendoro A.A Moerjati</b>, putri <b>Susuhunan Paku Buono IX</b> dan mempunyai
dua putri yaitu <b>R.A Srioerip</b> dan <b>R.A Sri Noerwati</b> (putra pertama
meninggal dan istri RM Soesalit meninggal saat melahirkan putri kedua). Dalam
perjalanan waktu, RM Soesalit memperistri <b>Ray. Loewiyah Soesalit DA</b>
dan mempunyai Putra tunggal, yaitu : RM. <b>Boedi Setiyo Soesalit</b> (
cucu RA Kartini) yang menikahi <b>Ray. Sri Biatini Boedi Setio Soesalit</b>.
Dari pernikahan itu dikarunia 5 orang anak (cicit dari R.A Kartini) yakni: <b>RA.
Kartini Setiawati Soesalit, RM. Kartono Boediman Soesalit,RA Roekmini Soesalit,
RM. Samingoen Bawadiman Soesalit, dan RM. Rahmat Harjanto Soesalit</b>. Mayjen
RM Soesalit Djojo Adiningrat sendiri meninggal di sebuah ruangan di
bangsal Pavilliun Rumah Sakit RSPAD pada 17 Maret 1962, tepat jam 05.30 WIB, di
makamkan di desa Bulu, Rembang dekat dengan makam ibundanya RA Kartini. Tepat
tanggal 21 April 1979, alm Mayjen RM Soesalit Djojo Adiningrat mendapat
anugerah dari Pemerintah Republik Indonesia berupa Tanda Kehormatan Bintang
Gerilya.</span></span></span><br />
<a name='more'></a><span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> </span></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><b><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Kebangsawanan Raden Ajeng </span></b></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Raden Ajeng Kartini adalah seseorang dari kalangan
priyayi atau kelas bangsawan Jawa, putri <b>Raden Mas Adipati Ario Sosroningrat</b>,
bupati Jepara. Ia adalah putri dari istri pertama, tetapi bukan istri utama.
Ibunya bernama <b>M.A. Ngasirah</b>, putri dari <b>Nyai Haji Siti Aminah</b>
dan <b>Kyai Haji Madirono</b>, seorang guru agama di Teluk Awur, Jepara.Ayah
Kartini pada mulanya adalah seorang wedana di Mayong. Peraturan kolonial waktu
itu mengharuskan seorang bupati beristerikan seorang bangsawan. Karena M.A.
Ngasirah bukanlah bangsawan tinggi, maka ayahnya menikah lagi dengan <b>Raden
Adjeng Woerjan</b> (Moerjam), keturunan langsung Raja Madura. Setelah perkimpoian
( baca: perkawinan;pernikahan) itu, maka ayah Kartini diangkat menjadi
bupati di Jepara menggantikan kedudukan ayah kandung <b>R.A. Woerjan, R.A.A.
Tjitrowikromo</b>. </span></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><b><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Museum Kamar Pengabdian dan
Makam RA Kartini. </span></b></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Menyambut visit Jawa Tengah 2013 , Rembang berbenah
diri untuk menjadi salah satu destinasi wisata sejarah di Jawa
Tengah. Sejarah pengabdian dan akhir hayat RA Kartini di kota ini sangatlah
kental. Jejak sejarah RA Kartini sampai saat ini masih di lestarikan, seperti :
Museum Kamar Pengabdian dan Makam RA Kartini yang sudah mengalami
renovasi dan dilengkapi dengan fasilitas canggih. Museum Kamar Pengabdian
berlokasi di lingkungan rumah dinas bupati Rembang ini merupakan tempat dimana
RA Kartini melakukan segala aktivitas, menulis buah pikiran, termasuk
melahirkan putra sau-satunya alm RM Soesalit. Sedangkan makam RA
Kartini terletak di desa Bulu 17 kilometer dari kota Rembang, berbentuk
pesanggrahan dengan cungkup atap berbentuk joglo, di sanalah RA Kartini bersama
suaminya bupati Djojo Adiningrat serta putranya di semayamkan. </span></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: "Trebuchet MS",sans-serif;"><span style="color: magenta;"><br /></span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="color: orange;"><span style="font-family: "Monotype Corsiva"; font-size: 12.0pt; line-height: 150%; mso-bidi-font-family: Arial; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">sumber : http://www.dcatwalk.com/index.php?option=com_k2&view=item&id=316:fakta-sejarah-tentang-ra-kartini&Itemid=312 </span></span></div>
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<br /></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-62008376515756130672013-04-03T19:58:00.000-07:002013-05-19T01:32:15.314-07:0010 Hal Unik dan menarik seputar kehidupan luar angkasa<table border="0"><tbody>
<tr><td><br /></td>
<td><br /></td><td></td>
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</tbody></table>
<div style="font-family: "Trebuchet MS",sans-serif;">
<b><span class="Apple-style-span" style="font-size: small;">1. Satu hari mengalami 17x matahari terbit</span></b><br />
<img src="http://3.bp.blogspot.com/-5Y_x0Ih0Ow4/Ts5_LbrhtiI/AAAAAAAAJL4/MfOns5ZyB_w/s1600/sunrise_in_space.jpg" width="550" /><br />
Matahari terbit dan terbenam setiap 90 menit di orbit , sehingga sangat
sulit untuk tidur nyenyak karena tidak adanya hari normal / siklus
malam. Untuk mengatasi ini, administrator ISS mengatur jadwal astronot
untuk menjaga agar kegiatan mereka sesuai. Jam onboard ISS diset ke
Greenwich Mean Time (GMT). Untuk menjaga astronot tetap pada jadwalnya,
Mission Control melakukan panggilan saat </div>
<a href="http://www.blogger.com/blogger.g?blogID=8779116867548772520" name="more"></a>bangun tidur. Untuk mengisi
waktu Mereka biasanya memainkan musik dan kegiatan sejenisnya<br />
<a href="http://angkatigabelas.blogspot.com/2012/02/10-hal-unik-dan-menarik-seputar.html" name="more"></a><br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">2. Kamu Akan Tumbuh lebih tinggi</span></b><br />
<img src="http://1.bp.blogspot.com/-tgvS2sbz8O8/Ts5_EOzXPQI/AAAAAAAAJK4/B334Gh5QBDk/s1600/a96973_a600_2-grow-taller2.jpg" width="400" /><br />
Tanpa gaya tekan gravitasi, tulang belakang Kamu berkembang
dan Kamu tumbuh lebih tinggi, biasanya antara 5cm dan 8cm. Sayangnya,
tinggi ekstra dapat membawa komplikasi, yang dapat mencakup masalah
sakit punggung dan saraf.<br />
<a name='more'></a><br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">3. Berhenti Mendengkur</span></b><br />
<img src="http://1.bp.blogspot.com/-Aoc3YSoAp8M/Ts5_Em5Cd7I/AAAAAAAAJK8/NUWpBMahHfg/s1600/a96973_a600_3-snoring.jpg" width="400" /><br />
Sebuah studi 2001 menunjukkan bahwa astronot yang mendengkur di Bumi
tertidur diam di ruang angkasa. Itu karena gravitasi memainkan peran
yang dominan dalam generasi apneas, hypopneas, dan mendengkur. NASA
bahkan telah merekam aktivitas awak kapal yang sering mendengkur ,
tetapi efek gravitasi nol muncul untuk mengurangi mendengkur.<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">4. Beberapa makanan dan bumbu membutuhkan penambahan air untuk dimakan</span></b><br />
<img src="http://3.bp.blogspot.com/-pbKjkZIBt-4/Ts5_FQ81gwI/AAAAAAAAJLE/jqyeNUWnalI/s1600/a96973_a600_5-food.jpg" width="400" /><br />
Dalam pesawat, garam dan merica tersedia tetapi hanya dalam bentuk cair.
Hal ini karena astronot tidak menaburkan garam dan merica pada makanan
mereka di ruang angkasa. Garam dan merica hanya akan mengambang. Sangat
berbahaya karena bisa menyumbat ventilasi udara, mencemari peralatan
atau terjebak dalam mulut, mata atau hidung astronot.<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">5. Astronot terlama yang tinggal di pesawat selama 438 hari</span></b><br />
<img src="http://2.bp.blogspot.com/-pNbXYRRjaOY/Ts5_Jlm2TtI/AAAAAAAAJLk/fXYJ8CgZTxA/s1600/a96973_a600_9-longest-time-space.jpg" width="400" /><br />
Rekor untuk misi terlama dipegang oleh kosmonot Rusia Valeri Polyakov,
yang menyelesaikan 438 hari (atau 14 bulan) perjalanan dinas di dalam
stasiun ruang angkasa Mir pada tahun 1995<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">6. Hanya 3 orang yang pernah meninggal di pesawat antariksa</span></b><br />
<img src="http://4.bp.blogspot.com/-Cq7CMROD4ro/Ts5_G9re_II/AAAAAAAAJLQ/SkUNQhoyV9M/s1600/a96973_a600_6-death.jpg" width="400" /><br />
Para awak dari Soyuz 11, Georgi Dobrovolski, Viktor Patsayev dan
Vladislav Volkov, tewas setelah undocking dari stasiun ruang angkasa
Salyut 1 setelah tinggal tiga minggu.<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">7. Hampir setiap astronot mengalami space sickness</span></b><br />
<img src="http://2.bp.blogspot.com/-qYKyeW_qL-U/Ts5_IBnbSdI/AAAAAAAAJLY/MsD5BdvCq_Q/s1600/a96973_a600_7-space-sickness.jpg" width="400" /><br />
Dengan tidak adanya gravitasi, sinyal dari sistem vestibulary dan
reseptor tekanan menjadi kacau. Efeknya biasanya menyebabkan
disorientasi pada tubuh: banyak astronot tiba-tiba merasa diri mereka
seperti terbalik, atau bahkan mengalami kesulitan dalam penginderaan
lokasi lengan dan kaki mereka sendiri. disorientasi ini adalah penyebab
utama dari apa yang disebut Space Adaptasi Syndrome<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">8. Hal yang paling sulit adalah untuk Adaptasi ketika Kamu kembali dari ruang angkasa</span></b><br />
<img src="http://2.bp.blogspot.com/-gs9H36d0ESQ/Ts5_I4CBZqI/AAAAAAAAJLg/Z-nblYLEtok/s1600/a96973_a600_8-gravity2.jpg" width="400" /><br />
Ketika mereka kembali ke bumi, astronot harus beradaptasi kembali
seperti pengalaman ketika mereka pertama kali ke ruang angkasa. Ada satu
fase adaptasi yang agak lama untuk di biasakan, Beberapa kosmonot Rusia
telah melaporkan bahwa beberapa bulan setelah penerbangan , mereka
masih sesekali melepaskan cangkir atau benda lain di udara - dan bingung
ketika jatuh ke lantai<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">9. Radiasi Cosmic membuat Kamu melihat Silauan saat berkedip</span></b><br />
<img src="http://3.bp.blogspot.com/-DqkhxwyKI-s/Ts5_ChwMRzI/AAAAAAAAJKw/xSMrdnaVcAw/s1600/a96973_a600_1-blinding.jpg" width="400" /><br />
Menatap keluar dari kapsul ruang mereka, astronot Apollo menyaksikan
pemandangan yang manusia belum pernah lihat sebelumnya. Mereka melihat
pemandangan bumi yang biru terang terhadap. Mereka melihat sisi jauh
Bulan. Mereka juga melihat kilatan cahaya aneh di dalam bola mata
mereka!<br />
<br />
<br />
<b><span class="Apple-style-span" style="font-size: small;">10. Kamu mungkin harus mengambil spons mandi untuk kebersihan diri</span></b><br />
<img src="http://3.bp.blogspot.com/-CzJGtyaebsQ/Ts5_Kl6QAyI/AAAAAAAAJLs/p-lkOYBdHu0/s1600/a96973_a600_10-hygiene.jpg" width="400" /><br />
Sementara stasiun seperti Skylab dan Mir telah dilengkapi dengan
pancuran,Banyak astronot mengganti spons mandi dengan menggunakan waslap
atau handuk basah. Hal ini akan mengurangi jumlah air yang dikonsumsi.
Setiap astronot juga akan memiliki kit kebersihan diri dengan sikat
gigi, pasta gigi, shampoo, pisau cukur dan perlengkapan mandi dasar
lainnya<br />
<br />
sumber : http://angkatigabelas.blogspot.com/2012/02/10-hal-unik-dan-menarik-seputar.htmAnonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-69369455515901166312013-03-29T04:14:00.002-07:002013-05-16T22:00:28.893-07:00BUNGA TERAKHIRBy : AFGAN<br />
<br />
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<br />
<ul type="disc">
<li class="MsoNormal" style="line-height: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Kaulah yang pertama menjadi
cinta<br />
Tinggallah kenangan<br />
Berakhir lewat bunga<br />
Seluruh cintaku untuknya<o:p></o:p></span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Bunga terakhir ku persembahkan kepada yang terindah<br />
Sebagai suatu tanda cinta untuknya<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Betapa cinta ini sungguh berarti<br />
Tetaplah terjaga<br />
Selamat tinggal kasih<br />
Ku telah pergi selamanya<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Bunga terakhir ku persembahkan kepada yang terindah<br />
Sebagai suatu tanda cinta untuknya<br />
Bunga terakhir menjadi satu kenangan yang tersimpan<br />
Takkan pernah hilang tuk selamanya<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Bunga terakhir<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Bunga terakhir ku persembahkan kepada yang terindah<br />
Menjadi satu kenangan yang tersimpan, bunga terakhir<br />
Bunga terakhir menjadi satu kenangan yang tersimpan<br />
Sebagai satu tanda cinta untuknya (untuknya), bunga terakhir</span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<br /></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;">SUMBER : http://musiklib.org/Afgan-Bunga_Terakhir-Lirik_Lagu.htm </span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
<div class="MsoNormal" style="line-height: normal; margin-left: 36pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12pt;"><o:p></o:p></span></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-72273980564001356412013-03-09T22:56:00.000-08:002013-05-19T01:32:48.289-07:00Inilah Profesi IT yang paling dicari<!--[if gte mso 9]><xml>
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<![endif]-->
<br />
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<span style="font-family: Georgia,"Times New Roman",serif;"><span style="font-size: 12pt; line-height: 150%;">Kalau ada profesi yang saat ini tengah naik daun, salah
satunya adalah profesi yang terkait teknologi informasi (TI). Permintaan tenaga
TI saat ini memang membludak. Sebab, dunia sudah tenggelam dalam tsunami
digital. Akhir tahun 2011, misalnya, pengguna internet di Indonesia sudah
mencapai 55 juta orang atau meningkat 30% dibanding tahun sebelumnya yang baru
sebanyak 42 juta orang. Dari total pengguna itu, 29 juta di antaranya mengaku
mengakses internet dari mobile phone. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Saat ini, perusahaan di bidang usaha apa pun membutuhkan
sistem informasi, paling tidak dalam hal administrasi. Apalagi, banyak
perusahaan mulai membidik internet sebagai sarana usaha, promosi, dan
marketing.Perusahaan rintisan baru di bidang teknologi informasi (start-up)
juga terus bermunculan. Bidang usahanya bermacam-macam, mulai penyedia mobile
broadband, aplikasi mobile untuk web, digital content, e-commerce, jasa
jaringan komputasi awan, jasa penyedia pusat data, jasa penyedia sistem
informasi manajemen risiko dan kepatuhan, asset management atau wealth
management solutions, e-payment, dan masih banyak lainnya.</span></span><br />
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Tidak heran, permintaan akan tenaga TI pun meningkat.
"Sekarang bahkan sudah terjadi bajak-membajak praktisi TI antar
perusahaan," kata Ogi Sigit Pornawan, Direktur Jogjacamp, perusahaan
penyedia jasa sistem TI untuk korporat. Ogi sendiri mengawali kariernya di
dunia TI sebagai programmer.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Bajak-membajak tenaga kerja di bidang TI ini terjadi karena
permintaan tenaga TI yang berpengalaman sangat besar. Sementara, pasokannya
tidak sebesar permintaannya. Pasokan praktisi TI yang jago tidak banyak karena
institusi pendidikan tempat para praktisi ini dididik belum mampu memenuhi
permintaan dunia usaha yang menginginkan tenaga TI yang siap pakai. <br />
<br />
<br />
Belajar sendiri Selama ini, pelajaran yang diajarkan di bangku kuliah
kebanyakan hanya logika pemrograman dan teori-teori TI. "Padahal, yang
diinginkan perusahaan adalah tenaga TI yang memang sudah menguasai aspek teknis
tertentu," ungkap Ogi. Jangan heran, Ogi masih harus melatih lagi tenaga
TI fresh graduate yang diterimanya sebagai karyawan. "Cuma, begitu dia
mahir, harus siap-siap dengan risiko dibajak," katanya, tertawa. <br />
Soal masih adanya kesenjangan antara dunia kerja dan materi pendidikan tinggi
juga diakui Tina Yuliani Ayuningsih, pendiri IT Training Centre Kembar di
Klaten.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Menurut alumnus Teknik Informatika Institut Teknologi
Bandung (ITB) ini, untuk belajar program atau software tertentu, mahasiswa
memang harus belajar sendiri. "Saya menyiasatinya dengan menjadi peneliti
di Laboratorium Rekayasa Perangkat Lunak Comlab ITB," kata Editor
Indonesia untuk majalah Inspirational Woman Magazine tersebut. Makanya, Tina
memasukkan materi bahasa pemrograman di silabus lembaga kursusnya.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Natali Ardianto, Chief Operation Officer (COO) Tiket.com,
juga punya pendapat yang tidak jauh berbeda. Menurut dia, yang membedakan
praktisi TI yang jago dan yang tidak adalah visi inovasi. Praktisi TI yang baik
memiliki inovasi dalam merancang produknya. Karena memiliki inovasi, praktisi
TI yang andal biasanya memiliki serangkaian portofolio karyanya yang bisa
dilihat sebagai wujud hasil kerjanya.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Misalnya, seorang web developer, tentu akan terlihat
kemampuannya ketika sudah berhasil merancang dan mengembangkan sebuah situs.
Portofolio hasil karya ini sangat penting dalam dunia TI untuk meyakinkan
perusahaan atau pemberi kerja akan kemampuan teknis dan inovasi praktisi TI
yang bersangkutan. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Seseorang yang memiliki inovasi juga mau tidak mau akan
terus mempelajari perkembangan terbaru dunia TI. "Praktisi TI tidak bisa
berhenti belajar dan harus punya semangat belajar sendiri," ujar Natali.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Harus spesifik Selain
harus memiliki inovasi dan skill aspek teknis tertentu, praktisi TI yang andal
juga harus memiliki skill yang spesifik. Yang terakhir ini bisa jadi kata kunci
profesi di dunia TI. "Kalau seorang praktisi TI mengaku bisa semua, malah
tidak akan dipercaya. Orang akan bingung, fokus dia sebenarnya apa," kata
Tri Haryoko, program instructor di PT Oracle Indonesia yang juga dosen di
Universitas Multimedia Nusantara (UMN). </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Profesi database
administrator saja, misalnya, harus lebih spesifik lagi: sistem database apa
yang dikuasai itu apa Oracle, SQL, atau yang lainnya. Tidak perlu menguasai
semua sistem yang ada. "Cukup menguasai satu, tetapi benar-benar mendalam,"
kata Tri. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Profesi di dunia TI
memang sangat luas, beragam, dan kompleks. Dunia TI memiliki banyak fungsi,
perangkat keras (hardware), dan perangkat lunak (software) TI yang tiap fungsi
dan perangkatnya membutuhkan penguasaan khusus dari seorang ahli. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Secara umum, berbagai
profesi di dunia TI dapat menjadi tiga kelompok besar. Pertama, kelompok yang
menyusun perangkat lunak atau software, baik mencakup sistem operasi dan
aplikasi database. Kedua, kelompok yang mengurusi perangkat keras (hardware),
dan ketiga, kelompok operasional sistem aplikasi dan sistem operasi.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Adapun secara fungsi,
profesi di dunia IT terbagi secara umum menjadi system analyst, programmer,
administrator/ developer, dan technical. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">System analyst</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Biasanya perusahaan
yang ingin menerapkan sistem teknologi informasi tertentu akan menyewa
perusahaan penyedia jasa sistem TI. Misalnya, ada perusahaan surat kabar yang
ingin membuka versi online korannya di internet. System analyst bertugas
menganalisis dan merancang sistem teknologi informasi yang akan
diimplementasikan oleh perusahaan tersebut, mulai menganalisa pilihan-pilihan
sistem operasi yang ada, kelebihan dan kekurangannya, sampai menggelar studi
kelayakan dan desain sistem yang akan dikembangkan.</span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Singkatnya, system analyst
bertugas menerjemahkan keinginan user atau pengguna sistem informasi menjadi
rancangan sistem TI yang sesuai dengan proses bisnis user maupun biaya yang
tersedia. Ketika menyusun sistem TI untuk perusahaan media yang ingin membuat
media online, misalnya, analis sistem dituntut mengetahui sistem operasi,
aplikasi dan perangkat database, perangkat lunak dan perangkat keras yang harus
tersedia dan digunakan. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Yang tidak kalah
penting, analis sistem juga harus mengetahui proses bisnis dari perusahaan yang
bersangkutan. Mulai dari konsepsi soal produk media yang akan dibuat sampai
masalah prosesnya. </span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Misalnya, berita dari
lapangan dilaporkan oleh wartawan bagaimana dan lewat media, dieditnya di mana
dan bagaimana, ada berapa jenjang pengeditan, dan seterusnya. "Sistem TI
yang dibangun harus menyesuaikan proses bisnis perusahaan," ungkap Agus
Surachman, system analyst sebuah perusahan konsultan penyedia jasa layanan
sistem TI. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Biasanya analis sistem
bekerja dalam sebuah tim yang disebut system integrator. Kalau dihadapkan
proyek IT, tim akan menunjuk project manager. Adapun jenjang analis sistem
tergantung pada perusahaan yang bersangkutan. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Ada yang jenjang
kariernya mulai dari system analyst, lalu meningkat menjadi business analyst
atau kadang disebut juga senior system analyst. Di level senior, pemahaman
anggaran dan keuangan penting ketika merancang sistem TI yang sesuai dengan
kebutuhan pengguna.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Biasanya, system
analyst memiliki pengalaman sebagai programmer. Cuma, ada juga analis sistem
yang langsung dari fresh graduate karena di perguruan tinggi memang jurusan
analis sistem sudah tersedia untuk program S-1. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Remunerasi bidang ini
tergantung pada pengalaman system analyst yang bersangkutan serta sistem
penggajian di perusahaan TI tempatnya bekerja. Tetapi untuk yang berpengalaman,
rentang penghasilannya sekitar Rp 5 juta sampai Rp 11 juta per bulan. <br />
<br />
<br />
Programmer</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Profesi programmer bisa
jadi posisi yang krusial di dunia TI. Tugasnya adalah membangun perangkat lunak
sistem operasi atau aplikasi yang mau diaplikasikan perusahaan. Perumpamaannya,
"Jika system analyst bisa diibaratkan desainer sistem TI, programmer
adalah tukang jahit yang bertugas membangun sistem tersebut," kata Tri.</span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Ada beberapa jenis
programmer. Pertama, mereka yang membuat desktop application untuk operasi
sistem informasi di internal perusahaan. Kedua, mereka yang membuat web based
application. "Pemrogram ini disebut web programmer atau web
desainer," kata Tina. Mereka bertugas membuat design layout dan metode
interaksi antarmuka pengguna (user interface) untuk laman di internet dan untuk
fitur-fitur spesifik di situs tersebut. Ketiga, mereka yang berkutat dengan
pemrograman database. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Karena berkutat dengan
urusan teknis, programmer perlu memiliki kemampuan penguasaan yang spesifik
akan bahasa pemrograman. Bahasa gaulnya ngoding. Pemrogram aplikasi desktop
yang harus dikuasai misalnya Java, C++, dan Visual Basic. Adapun untuk web
programmer yang paling sering dibutuhkan adalah mereka yang menguasai bahasa
HTML/XML, PHP, ASP, Cold Fusion. Untuk lowongan database, meski saat ini banyak
program yang masih memakai bahasa Delphi, permintaan untuk mereka yang
menguasai SQL dan Oracle juga sudah mulai banyak.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Gaji seorang programmer
tergantung pada pengalaman serta sistem penggajian di perusahaan tempatnya
bekerja. Tetapi untuk yang berpengalaman, rentang penghasilannya sekitar Rp 3
juta sampai Rp 9 juta per bulan. <br style="mso-special-character: line-break;" />
<br style="mso-special-character: line-break;" />
</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Administrator</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Kalau analis bertugas
menyusun sistem TI yang sesuai dengan kebutuhan perusahaan dan programmer
adalah mereka yang bertugas membangun sistem tersebut, administrator atau
developer adalah mereka yang bertugas mengoperasikan, merawat, dan bahkan
mengembangkan sistem yang sudah berjalan tersebut. </span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Kebanyakan posisi
administrator ini ditempati oleh yang memiliki keahlian spesifik di bidangnya
dan bahkan sertifikasi khusus untuk masing-masing tugas dan fungsi. </span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Dalam perusahaan, orang
yang mengepalai administrator TI, database, dan sistem disebut sebagai manajer
TI. Ada beberapa jenis administrator.</span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">• IT and Networking Administrator yang
bertugas menjalankan implementasi dan perawatan administrasi jaringan TI
seperti Local Area Network (LAN) dan Wide Area Network (WAN) serta koneksi
dial-up, firewall, proxy, dan pendukung teknis lainnya.<br />
<br />
Tugas mereka adalah membangun dan memelihara jaringan yang dipakai di
perusahaan, memberikan saran dan masukan dalam pemilihan topologi, hardware
serta software operasional yang sesuai untuk jaringan di perusahaan. Mereka
juga harus menjaga stabilitas dan reliabilitas jaringan<br />
<br />
• Database Administrator merupakan orang yang bertanggung jawab untuk
administrasi dan pemeliharaan teknis sistem database yang menopang sistem TI
perusahaan.<br />
<br />
• System Administrator sedikit mirip dengan administrator TI. Cuma bedanya,
system administrator bertugas melakukan administrasi terhadap sistem dan
melakukan pemeliharaan sistem. "System administrator juga biasanya
memiliki kewenangan mengatur hak akses terhadap sistem, serta hal-hal lain yang
berhubungan dengan pengaturan operasional sebuah sistem," ungkap Agus.</span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify; text-indent: 36.0pt;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Mereka juga bertugas
menyediakan rancangan sistem dan konsultasi terhadap pengguna. Selain itu,
mereka juga memberikan respons terhadap permintaan bantuan teknis serta
dukungan lainnya. Tugas penting administrator adalah melakukan pelatihan operasi
sistem ke pelanggan.<br />
<br />
• Security Administrator. Di beberapa perusahaan besar, sistem TI menjadi nyawa
layanan dan operasinya. Kalau sudah begini, keamanan menjadi sangat penting.
Makanya, ada fungsi khusus untuk mengelola keamanan sistem TI. Karena penting,
sesuai dengan tata kelola TI (IT governance), maka diciptakan segregation of
duties atau fungsi yang terpisah untuk administrasi yang penting. Tugas
security administrator antara lain sebagai pengelola konfigurasi keamanan. <br />
<br />
• Technical operator atau sering juga disebut sebagai teknisi. Mereka mengurusi
pemeliharaan maupun perbaikan perangkat keras sistem TI.</span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">• EDP operator bertugas untuk
mengoperasikan program-program electronik data processing dalam lingkungan
sebuah perusahaan atau organisasi lainnya. </span></span></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Auditor<br />
<br />
Profesi TI lain yang menarik adalah auditor. Mereka harus orang luar yang tidak
merancang dan mengoperasikan sistem TI perusahaan.</span></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">Ada beberapa jenis auditor, IT auditor
misalnya, bertugas melakukan evaluasi dan rekomendasi atas lingkungan TI
perusahaan. Adapun security auditor melakukan evaluasi dan rekomendasi khusus
untuk keamanan sistem TI. Adapun IT compliance melakukan evaluasi atas
kepatuhan lingkungan TI suatu perusahaan terhadap beberapa regulasi yang
terkait dengan perusahaan tersebut, baik itu dari internal maupun eksternal.</span></span></div>
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<br /></div>
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<span style="font-family: Arial,Helvetica,sans-serif;"><span style="font-size: 12pt; line-height: 150%;">SUMBER :http://www.kaskus.co.id/thread/5139931a0c75b47814000010 </span><span style="font-size: 12pt; line-height: 150%;"></span></span></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-18065671527039020842013-03-01T07:53:00.001-08:002013-05-16T22:00:59.782-07:00Teori Graf<!--[if !mso]>
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<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Dalam <a href="http://id.wikipedia.org/wiki/Matematika" title="Matematika"><span style="color: black; mso-themecolor: text1;">matematika</span></a> dan <a href="http://id.wikipedia.org/wiki/Ilmu_komputer" title="Ilmu komputer"><span style="color: black; mso-themecolor: text1;">ilmu komputer</span></a>, <b>teori
graf</b> adalah cabang kajian yang mempelajari sifat-sifat <a href="http://id.wikipedia.org/wiki/Graf" title="Graf"><span style="color: black; mso-themecolor: text1;">graf</span></a>. Secara informal, suatu graf adalah
himpunan benda-benda yang disebut <a href="http://id.wikipedia.org/w/index.php?title=Simpul_%28graf%29&action=edit&redlink=1" title="Simpul (graf) (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">simpul</span></a> (<i>vertex</i> atau <i>node</i>) yang
terhubung oleh <a href="http://id.wikipedia.org/w/index.php?title=Sisi_%28graf%29&action=edit&redlink=1" title="Sisi (graf) (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">sisi</span></a> (<i>edge</i>) atau <a href="http://id.wikipedia.org/w/index.php?title=Busur_%28graf%29&action=edit&redlink=1" title="Busur (graf) (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">busur</span></a> (<i>arc</i>). Biasanya graf digambarkan
sebagai kumpulan titik-titik (melambangkan simpul) yang dihubungkan oleh
garis-garis (melambangkan sisi) atau garis berpanah (melambangkan busur). Suatu
sisi dapat menghubungkan suatu simpul dengan simpul yang sama. Sisi yang
demikian dinamakan <a href="http://id.wikipedia.org/w/index.php?title=Gelang_%28graf%29&action=edit&redlink=1" title="Gelang (graf) (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">gelang</span></a> (<i>loop</i>).</span></div>
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<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Banyak sekali struktur yang bisa
direpresentasikan dengan graf, dan banyak masalah yang bisa diselesaikan dengan
bantuan graf. Jaringan persahabatan pada <a href="http://id.wikipedia.org/wiki/Facebook" title="Facebook"><span style="color: black; mso-themecolor: text1;">Facebook</span></a> bisa
direpresentasikan dengan graf, yakni simpul-simpulnya adalah para pengguna
Facebook dan ada sisi antar pengguna jika dan hanya jika mereka berteman.
Perkembangan <a href="http://id.wikipedia.org/wiki/Algoritma" title="Algoritma"><span style="color: black; mso-themecolor: text1;">algoritma</span></a> untuk menangani
graf akan berdampak besar bagi <a href="http://id.wikipedia.org/wiki/Ilmu_komputer" title="Ilmu komputer"><span style="color: black; mso-themecolor: text1;">ilmu komputer</span></a>.</span></div>
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<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Sebuah struktur graf bisa
dikembangkan dengan memberi bobot pada tiap sisi. Graf berbobot dapat digunakan
untuk melambangkan banyak konsep berbeda. Sebagai contoh jika suatu graf
melambangkan jaringan jalan maka bobotnya bisa berarti panjang jalan maupun
batas kecepatan tertinggi pada jalan tertentu. Ekstensi lain pada graf adalah
dengan membuat sisinya berarah, yang secara teknis disebut <a href="http://id.wikipedia.org/w/index.php?title=Graf_berarah&action=edit&redlink=1" title="Graf berarah (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">graf berarah</span></a> atau <a href="http://id.wikipedia.org/wiki/Digraf" title="Digraf"><span style="color: black; mso-themecolor: text1;">digraf</span></a> (<i>directed graph</i>). Digraf
dengan sisi berbobot disebut <a href="http://id.wikipedia.org/w/index.php?title=Jaringan_%28matematika%29&action=edit&redlink=1" title="Jaringan (matematika) (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">jaringan</span></a>.</span></div>
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<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Jaringan banyak digunakan pada
cabang praktis teori graf yaitu <a href="http://id.wikipedia.org/w/index.php?title=Analisis_jaringan&action=edit&redlink=1" title="Analisis jaringan (halaman belum tersedia)"><span style="color: black; mso-themecolor: text1;">analisis jaringan</span></a>. Perlu dicatat bahwa pada
analisis jaringan, definisi kata "jaringan" bisa berbeda, dan sering
berarti graf sederhana (tanpa bobot dan arah).</span></div>
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<b><span style="color: black; font-size: 18.0pt; line-height: 150%; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Sedikit lebih formal</span></b></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Suatu graph G dapat dinyatakan
sebagai <span style="mso-no-proof: yes;"><img alt=" G=<V,E>" border="0" height="18" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image001.gif" width="113" /></span>. Graph G
terdiri atas himpunan V yang berisikan simpul pada graf tersebut dan himpunan
dari E yang berisi sisi pada graf tersebut. Himpunan E dinyatakan sebagai
pasangan dari simpul yang ada dalam V. Sebagai contoh definisi dari graf pada
gambar di atas adalah : <span style="mso-no-proof: yes;"><img alt=" V = \{{1,2,3,4,5,6}\} " border="0" height="23" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image002.gif" width="172" /></span>dan <span style="mso-no-proof: yes;"><img alt="E=\{{(1,2),(1,5),(2,3),(3,4),(4,5),(5,2),(4,6)}\} " border="0" height="23" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image003.gif" width="425" /></span></span></div>
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<br /></div>
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<a href="http://id.wikipedia.org/wiki/Berkas:Cesta_%28graf%29.svg"><span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-no-proof: yes; mso-themecolor: text1; text-decoration: none; text-underline: none;"><span style="mso-ignore: vglayout;"><img alt="http://upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Cesta_%28graf%29.svg/239px-Cesta_%28graf%29.svg.png" border="0" height="160" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image005.gif" width="239" /></span></span></a><span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;"></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; text-align: justify;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Gambar dengan node yang sama dengan yang di atas, tapi
merupakan digraf.</span></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Pada <a href="http://id.wikipedia.org/wiki/Digraf" title="Digraf"><span style="color: black; mso-themecolor: text1;">digraf</span></a>
maka pasangan-pasangan ini merupakan pasangan terurut. Untuk menyatakan digraf
(gambar kedua yang menggunakan tanda panah) kita dapat menggunakan himpunan <i>edge</i>
sebagai berikut :</span></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-no-proof: yes; mso-themecolor: text1;"><img alt="E=\{{<1,2>,<1,5>,<2,5>,<3,2>,<4,3>,<5,4>,<4,6>}\} " border="0" height="23" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image006.gif" width="608" /></span><span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;"></span></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Dalam himpunan <i>edge</i> untuk digraf, urutan
pasangan verteks menentukan arah dari <i>edge</i> tersebut.</span></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: 36.0pt;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">Dalam teori graf, formalisasi ini
untuk memudahkan ketika nanti harus membahas terminologi selanjutnya yang
berhubungan dengan graph. Beberapa terminologi berhubungan dengan teori
graf :</span></div>
<ul type="disc">
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Degree</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> atau
derajat dari suatu node, jumlah edge yang dimulai atau berakhir pada node
tersebut. Node 5 berderajat 3. Node 1 berderajat 2.</span></li>
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Path</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> suatu
jalur yang ada pada graph, misalnya antara 1 dan 6 ada path <span style="mso-no-proof: yes;"><img alt=" b \rightarrow c \rightarrow g " border="0" height="22" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image007.gif" width="93" /></span></span></li>
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Cycle</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">
siklus ? path yang kembali melalui titik asal 2 <span style="mso-no-proof: yes;"><img alt=" f \rightarrow c \rightarrow d \rightarrow e " border="0" height="22" src="file:///C:%5CUsers%5Cuser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_image008.gif" width="138" /></span>kembali
ke 2.</span></li>
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Tree</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> merupakan
salah satu jenis graf yang tidak mengandung cycle. Jika edge f dan a dalam
digraf di atas dihilangkan, digraf tersebut menjadi sebuah tree. Jumlah
edge dalam suatu tree adalah nV - 1. Dimana nV adalah jumlah vertex</span></li>
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Graf Tak Berarah (Undirected Graph)</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> Graf G disebut graf tak berarah (undirected graph) jika setiap
sisinya tidak berarah. Dengan kata lain (v<sub>i</sub>,v<sub>j</sub>)=(v<sub>j</sub>,v<sub>i</sub>)</span></li>
<li class="MsoNormal" style="color: black; line-height: 150%; mso-list: l0 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-themecolor: text1; tab-stops: list 36.0pt; text-align: justify;"><i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;">Graf Berarah (Directed Graph)</span></i><span style="mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN;"> Graf G disebut graf berarah (directed graph) jika setiap sisinya
berarah. Titik awal dari suatu sisi disebut verteks awal (initial vertex)
sedangkan titik akhir dari suatu sisi disebut verteks akhir (terminal
vertex). Loop pada graf adalah sisi yang verteks awal dan verteks akhirnya
sama. </span></li>
</ul>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="color: black; mso-bidi-font-family: "Times New Roman"; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: IN; mso-themecolor: text1;">sumber : http://id.wikipedia.org/wiki/Teori_graf </span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-20786918164952267262013-03-01T00:18:00.000-08:002013-05-16T22:01:30.259-07:00TRANSFORMASI GEOMETRI<link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml" rel="File-List"></link><link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_editdata.mso" rel="Edit-Time-Data"></link><link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_oledata.mso" rel="OLE-Object-Data"></link><!--[if !mso]>
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<br />
<ol start="1" style="margin-top: 0cm;" type="A">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="EN-US">TRANLASI<o:p></o:p></span></b></li>
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<span lang="SV">Minggu lalu, Candra duduk di pojok kanan baris
pertama di kelasnya. Minggu ini, ia berpindah ke baris ketiga lajur keempat
yang minggu lalu ditempati Dimas. Dimas sendiri berpindah ke baris kedua lajur kedua
yang minggu lalu ditempati Sari. Perhatikan perpindahan tempat duduk Candra dan
Dimas ini.<o:p></o:p></span></div>
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<!--[if !supportLists]--><span lang="SV" style="font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV">Candra berpindah 2
lajur ke kiri dan 2 baris ke belakang. Saat berpindah ini, Candra telah
melakukan translasi 2 satuan ke kiri dan 2 satuan ke atas yang ditulis sebagai <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
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o:title=""/>
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<!--[if !supportLists]--><span lang="SV" style="font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV">Kemudian, Dimas
berpindah 2 lajur ke kiri dan 1 baris ke depan. Saat berpindah ini, Dimas telah
melakukan translasi 2 satuan ke kiri dan 1 satuan ke bawah yang ditulis sebagai
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type="#_x0000_t75" style='width:30pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image005.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="_x0000_i1027" width="40" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1027"
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<div class="MsoNormal" style="line-height: 150%; margin-left: 45pt; text-align: justify; text-indent: -9pt;">
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duduk Candra minggu lalu di titik <i>N</i>(<i>a, b</i>) pada koordinat
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menuliskan translasi ini sebagai berikut<o:p></o:p></span></div>
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<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1029"
DrawAspect="Content" ObjectID="_1423655659">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Dengan prinsip yang sama, jika titik <i>P</i>(<i>x</i>,
<i>y</i>) ditranslasikan dengan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1030" type="#_x0000_t75"
style='width:44.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image009.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="_x0000_i1030" width="59" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1030"
DrawAspect="Content" ObjectID="_1423655660">
</o:OLEObject>
</xml><![endif]--> maka diperoleh
bayangannya </span><span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1031" type="#_x0000_t75" style='width:74.25pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image011.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1031" width="99" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1031"
DrawAspect="Content" ObjectID="_1423655661">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV">. Secara
matematis, ditulis sebagai berikut.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1032" type="#_x0000_t75"
style='width:153.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image013.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif" v:shapes="_x0000_i1032" width="205" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1032"
DrawAspect="Content" ObjectID="_1423655663">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Sekarang, translasikan lagi bayangan yang telah
kalian peroleh dengan<span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1033" type="#_x0000_t75"
style='width:45.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image015.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="_x0000_i1033" width="61" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1033"
DrawAspect="Content" ObjectID="_1423655664">
</o:OLEObject>
</xml><![endif]--> Didapat, <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1034" type="#_x0000_t75" style='width:231.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image017.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif" v:shapes="_x0000_i1034" width="309" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1034"
DrawAspect="Content" ObjectID="_1423655665">
</o:OLEObject>
</xml><![endif]--> Perhatikan bahwa <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1035" type="#_x0000_t75" style='width:249.75pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image019.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif" v:shapes="_x0000_i1035" width="333" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1035"
DrawAspect="Content" ObjectID="_1423655666">
</o:OLEObject>
</xml><![endif]--> <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Ini berarti <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1036"
type="#_x0000_t75" style='width:113.25pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image021.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image022.gif" v:shapes="_x0000_i1036" width="151" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1036"
DrawAspect="Content" ObjectID="_1423655667">
</o:OLEObject>
</xml><![endif]--> diperoleh dengan
mentranslasikan <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1037"
type="#_x0000_t75" style='width:36pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image023.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1037" width="48" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1037"
DrawAspect="Content" ObjectID="_1423655668">
</o:OLEObject>
</xml><![endif]--> dengan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1038" type="#_x0000_t75" style='width:60pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image025.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif" v:shapes="_x0000_i1038" width="80" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1038"
DrawAspect="Content" ObjectID="_1423655670">
</o:OLEObject>
</xml><![endif]--> Translasi <i>T </i>ini
merupakan translasi <i>T</i>1 dilanjutkan dengan <i>T</i>2, yang ditulis sebagai
<span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1039"
type="#_x0000_t75" style='width:32.25pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image027.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif" v:shapes="_x0000_i1039" width="43" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1039"
DrawAspect="Content" ObjectID="_1423655671">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Oleh karena <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1040"
type="#_x0000_t75" style='width:44.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image029.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="_x0000_i1040" width="59" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1040"
DrawAspect="Content" ObjectID="_1423655672">
</o:OLEObject>
</xml><![endif]--> dan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1041" type="#_x0000_t75" style='width:45.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image030.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="_x0000_i1041" width="61" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1041"
DrawAspect="Content" ObjectID="_1423655673">
</o:OLEObject>
</xml><![endif]--> maka <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1042" type="#_x0000_t75" style='width:81.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image031.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image032.gif" v:shapes="_x0000_i1042" width="109" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1042"
DrawAspect="Content" ObjectID="_1423655674">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Akibatnya, titik
<span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1043" type="#_x0000_t75" style='width:36pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image023.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1043" width="48" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1043"
DrawAspect="Content" ObjectID="_1423655675">
</o:OLEObject>
</xml><![endif]--> ditranslasikan dengan <i>T</i>1
dilanjutkan dengan translasi <i>T</i>2 menghasilkan bayangan <span style="position: relative; top: 2pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1044" type="#_x0000_t75"
style='width:15pt;height:15pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image033.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="20" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image034.gif" v:shapes="_x0000_i1044" width="20" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1044"
DrawAspect="Content" ObjectID="_1423655677">
</o:OLEObject>
</xml><![endif]--> sebagai berikut<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1045" type="#_x0000_t75"
style='width:209.25pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image035.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image036.gif" v:shapes="_x0000_i1045" width="279" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1045"
DrawAspect="Content" ObjectID="_1423655678">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div style="line-height: 150%; margin: 0cm 0cm 0.0001pt; text-indent: 36pt;">
<i><span lang="SV" style="color: black;">Sifat:</span></i><span lang="SV" style="color: black;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Dua buah translasi berturut-turut </span><span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1046" type="#_x0000_t75" style='width:21pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image037.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image038.gif" v:shapes="_x0000_i1046" width="28" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1046"
DrawAspect="Content" ObjectID="_1423655679">
</o:OLEObject>
</xml><![endif]--><span style="color: black;">diteruskan dengan</span><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1047" type="#_x0000_t75" style='width:21.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image039.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image040.gif" v:shapes="_x0000_i1047" width="29" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1047"
DrawAspect="Content" ObjectID="_1423655680">
</o:OLEObject>
</xml><![endif]--></span><span lang="EN-US" style="color: black;"><!--[if gte vml 1]><v:shape
id="_x0000_i1048" type="#_x0000_t75" alt="" style='width:2.25pt;height:6pt'/><![endif]--><!--[if !vml]--><img height="8" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image041.gif" v:shapes="_x0000_i1048" width="3" /><!--[endif]--></span><span lang="SV" style="color: black;">dapat digantikan dengan translasi tunggal </span><span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1049" type="#_x0000_t75"
style='width:39.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image042.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image043.gif" v:shapes="_x0000_i1049" width="53" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1049"
DrawAspect="Content" ObjectID="_1423655681">
</o:OLEObject>
</xml><![endif]--></span><span lang="EN-US" style="color: black;"><!--[if gte vml 1]><v:shape
id="_x0000_i1050" type="#_x0000_t75" alt="" style='width:1.5pt;height:1.5pt'/><![endif]--><!--[if !vml]--><img height="2" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image044.gif" v:shapes="_x0000_i1050" width="2" /><!--[endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1051"
type="#_x0000_t75" alt="" style='width:2.25pt;height:6pt'/><![endif]--><!--[if !vml]--><img height="8" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image041.gif" v:shapes="_x0000_i1051" width="3" /><!--[endif]--><!--[if gte vml 1]><v:shape id="_x0000_i1052"
type="#_x0000_t75" alt="" style='width:3pt;height:6pt'/><![endif]--><!--[if !vml]--><img height="8" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image045.gif" v:shapes="_x0000_i1052" width="4" /><!--[endif]--></span><span lang="SV"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="font-family: Symbol;">·<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Pada suatu translasi setiap bangunnya
tidak berubah.</span><span lang="SV"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Contoh:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">1.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV">Translasi <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1053" type="#_x0000_t75" style='width:45pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image046.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image047.gif" v:shapes="_x0000_i1053" width="60" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1053"
DrawAspect="Content" ObjectID="_1423655683">
</o:OLEObject>
</xml><![endif]-->memetakan titik A(1,2) ke titik A'(4,6)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">a.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV">Tentukan translasi
tersebut !<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">b.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Tentukanlah bayangan segitiga </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">ABC </span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">dengan titik sudut </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">A</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">(1, 2)</span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">, B</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">(3, 4), dan </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">C</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">(</span><span lang="EN-US" style="font-family: Symbol; font-size: 11pt; line-height: 150%;">-</span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">5, 6) oleh translasi tersebut. </span><span lang="SV"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">c.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Jika segitiga yang kalian peroleh pada jawaban b ditranslasikan</span><span lang="SV"> </span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">lagi dengan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1054"
type="#_x0000_t75" style='width:51.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image048.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image049.gif" v:shapes="_x0000_i1054" width="69" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1054"
DrawAspect="Content" ObjectID="_1423655684">
</o:OLEObject>
</xml><![endif]-->Tentukan bayangannya!</span><span lang="SV"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Translasikan segitiga </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">ABC </span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">dengan translasi </span><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">T</span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 6.5pt; line-height: 150%;">2 </span><span lang="SV" style="font-family: MTExtra; font-size: 11pt; line-height: 150%;"> ◦</span><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">T</span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 6.5pt; line-height: 150%;">1</span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">.
Samakah</span><span lang="SV"> </span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">jawabannya dengan
jawaban c?</span><span lang="SV"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jawaban <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">a. <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1055" type="#_x0000_t75"
style='width:195.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image050.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image051.gif" v:shapes="_x0000_i1055" width="261" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1055"
DrawAspect="Content" ObjectID="_1423655686">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> Diperoleh 1+p = 4 sehingga p = 3<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> 2+q
= 6 sehingga q = 4<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> Jadi
translasi tersebut adalah <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1056" type="#_x0000_t75"
style='width:42pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image052.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image053.gif" v:shapes="_x0000_i1056" width="56" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1056"
DrawAspect="Content" ObjectID="_1423655687">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">b. translasi <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1057"
type="#_x0000_t75" style='width:42pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image054.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image053.gif" v:shapes="_x0000_i1057" width="56" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1057"
DrawAspect="Content" ObjectID="_1423655688">
</o:OLEObject>
</xml><![endif]--> artinya </span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">artinya memindahkan
suatu titik 3 satuan ke kanan dan 4 satuan ke atas. Dengan mentranslasikan
titiktitik </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">A'</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">, </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">B'</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">, dan </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">C'</span></i><span lang="EN-US" style="font-family: Symbol; font-size: 11pt; line-height: 150%;"> </span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">dari segitiga </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">ABC </span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">dengan translasi </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">T</span></i><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 6.5pt; line-height: 150%;">1</span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">, kalian memperoleh
segitiga </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">A</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">B</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">C</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">' </span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">sebagai berikut<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 45pt; text-align: justify;">
<span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"><span style="position: relative; top: 36pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1058"
type="#_x0000_t75" style='width:222.75pt;height:99.75pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image055.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="133" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image056.gif" v:shapes="_x0000_i1058" width="297" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1058"
DrawAspect="Content" ObjectID="_1423655690">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 45pt; text-align: justify;">
<span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Jadi bayangan segitiga
ABC adalah segitiga </span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">A</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">B</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">C</span></i><span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">' dengan titik A'(4,6), B'(6,8), dan C'(-2,10)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">c. <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1059"
type="#_x0000_t75" style='width:231.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image057.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image058.gif" v:shapes="_x0000_i1059" width="309" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1059"
DrawAspect="Content" ObjectID="_1423655691">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 28pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1060" type="#_x0000_t75" style='width:261.75pt;height:62.25pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image059.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="83" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image060.gif" v:shapes="_x0000_i1060" width="349" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1060"
DrawAspect="Content" ObjectID="_1423655692">
</o:OLEObject>
</xml><![endif]--></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">Jadi
bayangan segitiga </span><i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">A</span></i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">B</span></i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">'</span><i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">C</span></i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">' adalah segitiga A''B''C'' dengan titik A''(3,5),
B''(5,7) dan C''(-3,9)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span><!--[endif]--><span dir="LTR"></span><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">translasi titik <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1061"
type="#_x0000_t75" style='width:125.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image061.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image062.gif" v:shapes="_x0000_i1061" width="167" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1061"
DrawAspect="Content" ObjectID="_1423655694">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"> <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1062" type="#_x0000_t75" style='width:180pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image063.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image064.gif" v:shapes="_x0000_i1062" width="240" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1062"
DrawAspect="Content" ObjectID="_1423655695">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"> <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1063" type="#_x0000_t75" style='width:183.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image065.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image066.gif" v:shapes="_x0000_i1063" width="245" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1063"
DrawAspect="Content" ObjectID="_1423655696">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"> <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1064" type="#_x0000_t75" style='width:210.75pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image067.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image068.gif" v:shapes="_x0000_i1064" width="281" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1064"
DrawAspect="Content" ObjectID="_1423655697">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">Jadi
bayangan segitiga </span><i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;">ABC</span></i><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;"> adalah segitiga A'B'C' dengan titik A'(3,5),
B'(5,7) dan C'(-3,9) </span><span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Perhatikan
bahwa segitiga yang kalian peroleh pada jawaban </span><b><span lang="EN-US" style="font-family: "BookAntiqua-Bold","serif"; font-size: 11pt; line-height: 150%;">c </span></b><span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">sama dengan segitiga yang kalian peroleh pada
jawaban </span><b><span lang="EN-US" style="font-family: "BookAntiqua-Bold","serif"; font-size: 11pt; line-height: 150%;">d</span></b><span lang="EN-US" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">. </span><span lang="EN-US" style="font-family: "BookAntiqua,Italic"; font-size: 11pt; line-height: 150%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV">2.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV">Tentukan bayangan
lingkaran <i>(x-3)<sup>2</sup> + (y+1)<sup>2</sup>
= 4 </i>jika ditranslasikan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1065" type="#_x0000_t75"
style='width:50.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image069.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image070.gif" v:shapes="_x0000_i1065" width="67" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1065"
DrawAspect="Content" ObjectID="_1423655698">
</o:OLEObject>
</xml><![endif]-->!<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jawab <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Ambil sembarang titik <i>P(a,b)</i> pada lingkaran <i>(x-3)<sup>2</sup>
+ (y+1)<sup>2</sup> = 4 </i>sehingga diperoleh<i> (a-3)<sup>2</sup> + (b+1)<sup>2</sup> = 4</i><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Translasikan titik P dengan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1066" type="#_x0000_t75"
style='width:50.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image071.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image070.gif" v:shapes="_x0000_i1066" width="67" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1066"
DrawAspect="Content" ObjectID="_1423655700">
</o:OLEObject>
</xml><![endif]--> sehingga diperoleh <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1067" type="#_x0000_t75" style='width:150pt;height:30pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image072.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image073.gif" v:shapes="_x0000_i1067" width="200" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1067"
DrawAspect="Content" ObjectID="_1423655701">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jadi titik <i>P'(a-5,
b+2)</i></span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"> <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Perhatikan bahwa: </span><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">= </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a </span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">- </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">5. </span></i><span lang="SV" style="font-size: 11pt; line-height: 150%;">Dari
persamaan (*), didapat<i> a </i></span><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">= </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">+ </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">5.<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 126pt; text-align: justify; text-indent: 18pt;">
<i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">= </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b </span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">+ </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">2. </span></i><span lang="SV" style="font-size: 11pt; line-height: 150%;">Dari
persamaan (*), didapat<i> b =
b' - 2.</i></span><span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV" style="font-family: "BookAntiqua","serif"; font-size: 11pt; line-height: 150%;">Dengan mensubstitusi
nilai </span><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a </span></i><span lang="SV" style="font-size: 11pt; line-height: 150%;">dan<i>
b</i> ini ke persamaan (*), akan<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US" style="font-size: 11pt; line-height: 150%;">Diperoleh </span><i><span lang="SV">(</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">+ </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">5</span></i><i><span lang="SV">-3)<sup>2</sup> + (</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">' - 2</span></i><i><span lang="SV">+1)<sup>2</sup> = 4<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<i><span lang="SV"> (</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;">+ </span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">2</span></i><i><span lang="SV">)<sup>2</sup> + (</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">' - </span></i><i><span lang="SV">1)<sup>2</sup> = 4<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<i><span lang="SV">Jadi </span></i><span lang="SV">bayangan dari <i>(</i></span><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;"></span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">+ 5</span></i><i><span lang="SV">-3)<sup>2</sup>
+ (</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">' - 2</span></i><i><span lang="SV">+1)<sup>2</sup>
= 4 </span></i><span lang="SV">jika ditranslasikan
dengan<span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1068" type="#_x0000_t75" style='width:50.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image069.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image070.gif" v:shapes="_x0000_i1068" width="67" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1068"
DrawAspect="Content" ObjectID="_1423655702">
</o:OLEObject>
</xml><![endif]-->adalah <i>(</i></span><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">a</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">'</span></i><i><span lang="EN-US" style="font-size: 11pt; line-height: 150%;"></span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">+ 2</span></i><i><span lang="SV">)<sup>2</sup> + (</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">b</span></i><i><span lang="SV" style="font-size: 11pt; line-height: 150%;">' - </span></i><i><span lang="SV">1)<sup>2</sup> = 4</span></i><span lang="SV"><o:p></o:p></span></div>
<ol start="2" style="margin-top: 0cm;" type="A">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">REFLEKSI<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Kalian pasti sering bercermin. Ketika bercermin,
amatilah diri dan bayangan kalian. Apakah memiliki bentuk dan ukuran yang sama?
Amati pula jarak diri kalian ke cermin. Samakah dengan jarak bayangan kalian ke
cermin? Dengan bercermin dan menjawab pertanyaan-pertanyaan tersebut, kalian
akan menemukan beberapa sifat pencerminan.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"><!--[if gte vml 1]><v:shape
id="_x0000_i1069" type="#_x0000_t75" style='width:307.5pt;height:172.5pt'>
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image074.png"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="230" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image075.jpg" v:shapes="_x0000_i1069" width="410" /><!--[endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Dari gambar tersebut, kalian dapat mengatakan
bahwa:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Lingkaran <i>Q </i>kongruen dengan bayangannya,
yaitu lingkaran <i>Q</i>’<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Jarak setiap titik pada lingkaran <i>Q </i>ke
cermin sama dengan jarak setiap titik bayangannya ke cermin, yaitu <i>QA </i>= <i>Q’A</i>
dan <i>PB </i>= <i>P’ B</i>.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Sudut yang dibentuk oleh cermin dengan garis
yang menghubungkan setiap titik ke bayangannya adalah sudut siku-siku.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Sifat-sifat tersebut merupakan <i>sifat-sifat
refleksi</i>.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Matriks yang
bersesuaian dengan tranformasi geometri<o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none;">
<tbody>
<tr>
<td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Rumus <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Matriks <o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap sumbu-<i>x</i><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1070" type="#_x0000_t75" style='width:117pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image076.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image077.gif" v:shapes="_x0000_i1070" width="156" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1070"
DrawAspect="Content" ObjectID="_1423655703">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1071" type="#_x0000_t75"
style='width:96pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image078.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image079.gif" v:shapes="_x0000_i1071" width="128" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1071"
DrawAspect="Content" ObjectID="_1423655705">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap sumbu-<i>y<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1072" type="#_x0000_t75" style='width:120.75pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image080.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image081.gif" v:shapes="_x0000_i1072" width="161" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1072"
DrawAspect="Content" ObjectID="_1423655706">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1073" type="#_x0000_t75" style='width:96pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image082.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image083.gif" v:shapes="_x0000_i1073" width="128" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1073"
DrawAspect="Content" ObjectID="_1423655707">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=x<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1074" type="#_x0000_t75" style='width:111.75pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image084.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image085.gif" v:shapes="_x0000_i1074" width="149" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1074"
DrawAspect="Content" ObjectID="_1423655708">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1075" type="#_x0000_t75" style='width:89.25pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image086.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image087.gif" v:shapes="_x0000_i1075" width="119" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1075"
DrawAspect="Content" ObjectID="_1423655710">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis<i> y=-x<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1076" type="#_x0000_t75" style='width:122.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image088.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image089.gif" v:shapes="_x0000_i1076" width="163" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1076"
DrawAspect="Content" ObjectID="_1423655711">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1077" type="#_x0000_t75" style='width:102.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image090.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image091.gif" v:shapes="_x0000_i1077" width="137" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1077"
DrawAspect="Content" ObjectID="_1423655712">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>x=k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1078" type="#_x0000_t75" style='width:135pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image092.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image093.gif" v:shapes="_x0000_i1078" width="180" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1078"
DrawAspect="Content" ObjectID="_1423655713">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1079" type="#_x0000_t75" style='width:134.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image094.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image095.gif" v:shapes="_x0000_i1079" width="179" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1079"
DrawAspect="Content" ObjectID="_1423655714">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap titik<i> (p,q)<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1080" type="#_x0000_t75" style='width:120pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image096.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image097.gif" v:shapes="_x0000_i1080" width="160" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1080"
DrawAspect="Content" ObjectID="_1423655716">
</o:OLEObject>
</xml><![endif]--></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Sama dengan rotasi pusat (p,q) sejauh 180˚<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1081" type="#_x0000_t75" style='width:195pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image098.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image099.gif" v:shapes="_x0000_i1081" width="260" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1081"
DrawAspect="Content" ObjectID="_1423655717">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap titik pusat <i>(0,0)<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1082" type="#_x0000_t75" style='width:128.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image100.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image101.gif" v:shapes="_x0000_i1082" width="171" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1082"
DrawAspect="Content" ObjectID="_1423655718">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1083" type="#_x0000_t75" style='width:102.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image103.gif" v:shapes="_x0000_i1083" width="137" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1083"
DrawAspect="Content" ObjectID="_1423655719">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=mx,m=tan α<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1084" type="#_x0000_t75" style='width:150.75pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image104.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image105.gif" v:shapes="_x0000_i1084" width="201" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1084"
DrawAspect="Content" ObjectID="_1423655721">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1085" type="#_x0000_t75" style='width:150pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image106.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image107.gif" v:shapes="_x0000_i1085" width="200" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1085"
DrawAspect="Content" ObjectID="_1423655722">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis<i> y=x+k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1086" type="#_x0000_t75" style='width:125.25pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image108.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image109.gif" v:shapes="_x0000_i1086" width="167" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1086"
DrawAspect="Content" ObjectID="_1423655723">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1087" type="#_x0000_t75" style='width:135.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image110.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image111.gif" v:shapes="_x0000_i1087" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1087"
DrawAspect="Content" ObjectID="_1423655724">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 75.25pt;" valign="top" width="100"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=-x+k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 161.75pt;" valign="top" width="216"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1088" type="#_x0000_t75"
style='width:129.75pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image112.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image113.gif" v:shapes="_x0000_i1088" width="173" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1088"
DrawAspect="Content" ObjectID="_1423655726">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 205.8pt;" valign="top" width="274"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1089" type="#_x0000_t75" style='width:147pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image114.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image115.gif" v:shapes="_x0000_i1089" width="196" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1089"
DrawAspect="Content" ObjectID="_1423655727">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt;">
<b><i><span lang="EN-US" style="color: black;">SIFAT-SIFAT</span></i></b><span lang="EN-US" style="color: black;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black;">a.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Dua
refleksi berturut-turut terhadap sebuah garis merupakan suatu <b><i>identitas</i></b>,
artinya yang direfleksikan tidak berpindah. <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black;">b.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Pengerjaan
dua refleksi terhadap <b><i>dua sumbu yang sejajar</i></b>, menghasilkan
translasi (pergeseran) dengan sifat:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black; font-family: Wingdings; font-size: 10pt; line-height: 150%;">§<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Jarak
bangun asli dengan bangun hasil sama dengan dua kali jarak kedua sumbu
pencerminan. <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="EN-US" style="color: black; font-family: Wingdings; font-size: 10pt; line-height: 150%;">§<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Arah translasi tegak lurus pada kedua
sumbu sejajar, dari sumbu pertama ke sumbu kedua. </span><span lang="EN-US" style="color: black;">Refleksi terhadap dua sumbu sejajar bersifat tidak
komutatip.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="EN-US" style="color: black;">c.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span><!--[endif]--><span dir="LTR"></span><span lang="EN-US" style="color: black;">Pengerjaaan dua refleksi terhadap dua sumbu yang saling
tegak lurus, menghasilkaan rotasi (pemutaran) setengah lingkaran terhadap titik
potong dari kedua sumbu pencerminan. Refleksi terhadap dua sumbu yang saling
tegak lures bersifat komutatif.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black;">d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Pengerjaan
dua refleksi berurutan terhadap dua sumbu yang berpotongan akan menghasilkan
rotasi (perputaran) yang bersifat:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black; font-family: Wingdings; font-size: 10pt; line-height: 150%;">§<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Titik
potong kedua sumbu pencerminan merupakan pusat perputaran.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black; font-family: Wingdings; font-size: 10pt; line-height: 150%;">§<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Besar
sudut perputaran sama dengan dua kali sudut antara kedua sumbu
pencerminan.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 72pt; text-indent: -18pt;">
<!--[if !supportLists]--><span lang="SV" style="color: black; font-family: Wingdings; font-size: 10pt; line-height: 150%;">§<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;"> </span></span><!--[endif]--><span dir="LTR"></span><span lang="SV" style="color: black;">Arah
perputaran sama dengan arah dari sumbu pertama ke sumbu kedua. <b><o:p></o:p></b></span></div>
<ol start="3" style="margin-top: 0cm;" type="A">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="EN-US">ROTASI<o:p></o:p></span></b></li>
</ol>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none; width: 619px;">
<tbody>
<tr>
<td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 77.4pt;" valign="top" width="103"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rotasi <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 207pt;" valign="top" width="276"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rumus <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 180pt;" valign="top" width="240"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Matriks <o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 77.4pt;" valign="top" width="103"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rotasi
dengan pusat (0,0) dan sudut putar α<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 207pt;" valign="top" width="276"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1090" type="#_x0000_t75" style='width:138pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image116.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image117.gif" v:shapes="_x0000_i1090" width="184" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1090"
DrawAspect="Content" ObjectID="_1423655728">
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</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 180pt;" valign="top" width="240"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1091" type="#_x0000_t75" style='width:135.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image118.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image119.gif" v:shapes="_x0000_i1091" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1091"
DrawAspect="Content" ObjectID="_1423655729">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 77.4pt;" valign="top" width="103"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rotasi
dengan pusat <i>P(a,b)</i> dan sudut putar
α<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 207pt;" valign="top" width="276"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1092" type="#_x0000_t75" style='width:201.75pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image120.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image121.gif" v:shapes="_x0000_i1092" width="269" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1092"
DrawAspect="Content" ObjectID="_1423655731">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV" style="color: black;"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 180pt;" valign="top" width="240"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1093" type="#_x0000_t75" style='width:171pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image122.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image123.gif" v:shapes="_x0000_i1093" width="228" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1093"
DrawAspect="Content" ObjectID="_1423655732">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV" style="color: black;"><o:p></o:p></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV" style="color: black;">Keterangan <o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV" style="color: black;">α + : arah putaran berlawanan putaran jarum jam<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV" style="color: black;">α - : arah putaran searah putaran jarum jam<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<b><span lang="SV" style="color: black;">SIFAT-SIFAT</span></b><span lang="SV" style="color: black;"><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV" style="color: black;">Dua rotasi
bertumt-turut mempakan rotasi lagi dengan sudut putar </span><span lang="SV" style="color: white;">d</span><span lang="SV" style="color: black;">sama dengan jumlah kedua sudut putar
semula.Pada suatu rotasi, setiap bangun tidak berubah bentuknya.<br />
<i>Catatan: </i><br />
Pada transformasi pergeseran (translasi), pencerminan (refleksi) dan perputaran
(rotasi), tampak bahwa bentuk bayangan sama dan sebangun (kongruen) dengan
bentuk aslinya. Transformasi jenis ini disebut transformasi isometri. <o:p></o:p></span></div>
<ol start="4" style="margin-top: 0cm;" type="A">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="EN-US">DILATASI<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Aini dan teman-temannya berkunjung ke
IPTN. Di sana, mereka mengamati miniatur sebuah pesawat terbang. Miniatur
pesawat terbang ini mempunyai bentuk yang sama dengan pesawat terbang
sesungguhnya, tetapi ukurannya lebih kecil. Bentuk seperti miniatur pesawat terbang
ini telah mengalami dilatasi diperkecil dari pesawat terbang sesungguhnya. Selain
dilatasi diperkecil, terdapat pula dilatasi diperbesar, misalnya pencetakan
foto yang diperbesar dari klisenya. Faktor yang menyebabkan diperbesar atau
diperkecilnya suatu bangun ini disebut faktor dilatasi. Faktor dilatasi ini
dinotasikan dengan huruf kecil, misalnya <i>k</i>.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Jika <i>k</i> > 1 atau <i>k </i></span><span lang="EN-US">< -</span><span lang="SV">1, maka hasil dilatasinya diperbesar<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Jika </span><span lang="EN-US">-</span><span lang="SV">1 </span><span lang="EN-US">< </span><i><span lang="SV">k </span></i><span lang="EN-US">< </span><span lang="SV">1, maka hasil dilatasinya diperkecil<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">• Jika <i>k </i></span><span lang="EN-US">= </span><span lang="EN-US" style="font-family: Symbol;">±</span><span lang="EN-US"> </span><span lang="SV">1, maka hasil dilatasinya tidak mengalami perubahan<o:p></o:p></span></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none;">
<tbody>
<tr>
<td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US">Dilatasi </span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US">Rumus </span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US">Matriks </span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Dilatasi dengan pusat (0,0) dan faktor dilatasi
k<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1094" type="#_x0000_t75"
style='width:122.25pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image124.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image125.gif" v:shapes="_x0000_i1094" width="163" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1094"
DrawAspect="Content" ObjectID="_1423655733">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1095" type="#_x0000_t75" style='width:90pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image126.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image127.gif" v:shapes="_x0000_i1095" width="120" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1095"
DrawAspect="Content" ObjectID="_1423655734">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Dilatasi dengan pusat <i>P(a,b)</i> dan faktor dilatasi k<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1096" type="#_x0000_t75"
style='width:120pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image128.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image129.gif" v:shapes="_x0000_i1096" width="160" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1096"
DrawAspect="Content" ObjectID="_1423655736">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 147.6pt;" valign="top" width="197"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1097" type="#_x0000_t75"
style='width:135.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image130.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image131.gif" v:shapes="_x0000_i1097" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1097"
DrawAspect="Content" ObjectID="_1423655737">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<ol start="5" style="margin-top: 0cm;" type="A">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">KOMPOSISI TRANSFORMASI DENGAN MARIKS<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 18pt; text-align: justify;">
<b><span lang="SV">Matriks yang bersesuaian dengan transformasi geometri<o:p></o:p></span></b></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: medium none;">
<tbody>
<tr>
<td style="border: 1pt solid windowtext; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Transformasi <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Rumus <o:p></o:p></span></div>
</td>
<td style="border-color: windowtext windowtext windowtext -moz-use-text-color; border-style: solid solid solid none; border-width: 1pt 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Matriks <o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Identitas <o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1098" type="#_x0000_t75" style='width:102pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image132.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image133.gif" v:shapes="_x0000_i1098" width="136" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1098"
DrawAspect="Content" ObjectID="_1423655738">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1099" type="#_x0000_t75"
style='width:89.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image134.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image135.gif" v:shapes="_x0000_i1099" width="119" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1099"
DrawAspect="Content" ObjectID="_1423655739">
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</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Translasi <o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1100" type="#_x0000_t75" style='width:149.25pt;height:30pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image136.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="40" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image137.gif" v:shapes="_x0000_i1100" width="199" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1100"
DrawAspect="Content" ObjectID="_1423655741">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1101" type="#_x0000_t75"
style='width:84.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image138.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image139.gif" v:shapes="_x0000_i1101" width="113" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1101"
DrawAspect="Content" ObjectID="_1423655742">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap sumbu-<i>x</i><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1102" type="#_x0000_t75" style='width:117pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image140.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image077.gif" v:shapes="_x0000_i1102" width="156" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1102"
DrawAspect="Content" ObjectID="_1423655743">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1103" type="#_x0000_t75"
style='width:96pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image078.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image079.gif" v:shapes="_x0000_i1103" width="128" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1103"
DrawAspect="Content" ObjectID="_1423655744">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap sumbu-<i>y<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1104" type="#_x0000_t75" style='width:120.75pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image080.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image081.gif" v:shapes="_x0000_i1104" width="161" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1104"
DrawAspect="Content" ObjectID="_1423655745">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1105" type="#_x0000_t75" style='width:96pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image082.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image083.gif" v:shapes="_x0000_i1105" width="128" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1105"
DrawAspect="Content" ObjectID="_1423655746">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=x<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1106" type="#_x0000_t75" style='width:111.75pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image084.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image085.gif" v:shapes="_x0000_i1106" width="149" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1106"
DrawAspect="Content" ObjectID="_1423655747">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1107" type="#_x0000_t75" style='width:89.25pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image086.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image087.gif" v:shapes="_x0000_i1107" width="119" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1107"
DrawAspect="Content" ObjectID="_1423655749">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis<i> y=-x<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1108" type="#_x0000_t75" style='width:122.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image088.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image089.gif" v:shapes="_x0000_i1108" width="163" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1108"
DrawAspect="Content" ObjectID="_1423655750">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1109" type="#_x0000_t75" style='width:102.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image090.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image091.gif" v:shapes="_x0000_i1109" width="137" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1109"
DrawAspect="Content" ObjectID="_1423655751">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>x=k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1110" type="#_x0000_t75" style='width:135pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image092.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image093.gif" v:shapes="_x0000_i1110" width="180" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1110"
DrawAspect="Content" ObjectID="_1423655752">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1111" type="#_x0000_t75" style='width:134.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image094.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image095.gif" v:shapes="_x0000_i1111" width="179" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1111"
DrawAspect="Content" ObjectID="_1423655753">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap titik<i> (p,q)<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1112" type="#_x0000_t75" style='width:120pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image096.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image097.gif" v:shapes="_x0000_i1112" width="160" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1112"
DrawAspect="Content" ObjectID="_1423655754">
</o:OLEObject>
</xml><![endif]--></span></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Sama dengan rotasi pusat (p,q) sejauh 180˚<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1113" type="#_x0000_t75" style='width:195pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image098.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image099.gif" v:shapes="_x0000_i1113" width="260" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1113"
DrawAspect="Content" ObjectID="_1423655755">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap titik pusat <i>(0,0)<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1114" type="#_x0000_t75" style='width:128.25pt;height:18pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image100.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image101.gif" v:shapes="_x0000_i1114" width="171" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1114"
DrawAspect="Content" ObjectID="_1423655756">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1115" type="#_x0000_t75" style='width:102.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image102.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image103.gif" v:shapes="_x0000_i1115" width="137" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1115"
DrawAspect="Content" ObjectID="_1423655757">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=mx,m=tan α<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1116" type="#_x0000_t75" style='width:150.75pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image104.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image105.gif" v:shapes="_x0000_i1116" width="201" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1116"
DrawAspect="Content" ObjectID="_1423655759">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1117" type="#_x0000_t75" style='width:150pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image106.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image107.gif" v:shapes="_x0000_i1117" width="200" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1117"
DrawAspect="Content" ObjectID="_1423655760">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis<i> y=x+k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1118" type="#_x0000_t75" style='width:125.25pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image108.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image109.gif" v:shapes="_x0000_i1118" width="167" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1118"
DrawAspect="Content" ObjectID="_1423655761">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1119" type="#_x0000_t75" style='width:135.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image110.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image111.gif" v:shapes="_x0000_i1119" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1119"
DrawAspect="Content" ObjectID="_1423655762">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Refleksi terhadap garis <i>y=-x+k<o:p></o:p></i></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1120" type="#_x0000_t75"
style='width:129.75pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image141.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image113.gif" v:shapes="_x0000_i1120" width="173" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1120"
DrawAspect="Content" ObjectID="_1423655763">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1121" type="#_x0000_t75" style='width:147pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image114.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image115.gif" v:shapes="_x0000_i1121" width="196" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1121"
DrawAspect="Content" ObjectID="_1423655764">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rotasi
dengan pusat (0,0) dan sudut putar α<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1122" type="#_x0000_t75" style='width:138pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image116.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image117.gif" v:shapes="_x0000_i1122" width="184" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1122"
DrawAspect="Content" ObjectID="_1423655765">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1123" type="#_x0000_t75" style='width:135.75pt;height:36pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image118.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image119.gif" v:shapes="_x0000_i1123" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1123"
DrawAspect="Content" ObjectID="_1423655766">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV" style="color: black;">Rotasi
dengan pusat <i>P(a,b)</i> dan sudut putar
α<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1124" type="#_x0000_t75" style='width:164.25pt;height:54pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image142.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image143.gif" v:shapes="_x0000_i1124" width="219" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1124"
DrawAspect="Content" ObjectID="_1423655768">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV" style="color: black;"><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1125" type="#_x0000_t75" style='width:171pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image122.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image123.gif" v:shapes="_x0000_i1125" width="228" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1125"
DrawAspect="Content" ObjectID="_1423655769">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV" style="color: black;"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Dilatasi dengan pusat (0,0) dan factor dilatasi
k<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1126" type="#_x0000_t75"
style='width:122.25pt;height:18pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image124.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="24" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image125.gif" v:shapes="_x0000_i1126" width="163" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1126"
DrawAspect="Content" ObjectID="_1423655770">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="EN-US"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1127" type="#_x0000_t75" style='width:90pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image126.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image127.gif" v:shapes="_x0000_i1127" width="120" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1127"
DrawAspect="Content" ObjectID="_1423655771">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"><o:p></o:p></span></div>
</td>
</tr>
<tr>
<td style="border-color: -moz-use-text-color windowtext windowtext; border-style: none solid solid; border-width: medium 1pt 1pt; padding: 0cm 5.4pt; width: 86.4pt;" valign="top" width="115"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV">Dilatasi dengan pusat <i>P(a,b)</i> dan faktor dilatasi k<o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 172pt;" valign="top" width="229"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 23pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1128" type="#_x0000_t75"
style='width:120pt;height:54pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image128.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="72" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image129.gif" v:shapes="_x0000_i1128" width="160" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1128"
DrawAspect="Content" ObjectID="_1423655772">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
<td style="border-color: -moz-use-text-color windowtext windowtext -moz-use-text-color; border-style: none solid solid none; border-width: medium 1pt 1pt medium; padding: 0cm 5.4pt; width: 184.4pt;" valign="top" width="246"><div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<span lang="SV"><span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1129" type="#_x0000_t75"
style='width:135.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image130.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image131.gif" v:shapes="_x0000_i1129" width="181" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1129"
DrawAspect="Content" ObjectID="_1423655773">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
</td>
</tr>
</tbody></table>
<div class="MsoNormal" style="line-height: 150%; margin-left: 18pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 18pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 18pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 18pt; text-align: justify;">
<b><span lang="SV">Komposisi transformasi<o:p></o:p></span></b></div>
<ol start="1" style="margin-top: 0cm;" type="1">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">komposisi dua translasi berurutan<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Diketahui dua translasi <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1130" type="#_x0000_t75"
style='width:44.25pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image009.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="_x0000_i1130" width="59" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1130"
DrawAspect="Content" ObjectID="_1423655774">
</o:OLEObject>
</xml><![endif]--> dan <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1131" type="#_x0000_t75" style='width:45.75pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image015.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="_x0000_i1131" width="61" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1131"
DrawAspect="Content" ObjectID="_1423655775">
</o:OLEObject>
</xml><![endif]-->. Jika translasi <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1132" type="#_x0000_t75"
style='width:12pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image144.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image145.gif" v:shapes="_x0000_i1132" width="16" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1132"
DrawAspect="Content" ObjectID="_1423655777">
</o:OLEObject>
</xml><![endif]--> dilanjutkan translasi <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1133" type="#_x0000_t75" style='width:12.75pt;height:17.25pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image146.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image147.gif" v:shapes="_x0000_i1133" width="17" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1133"
DrawAspect="Content" ObjectID="_1423655778">
</o:OLEObject>
</xml><![endif]--> maka dinotasikan ”<span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1134" type="#_x0000_t75" style='width:32.25pt;height:17.25pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image027.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif" v:shapes="_x0000_i1134" width="43" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1134"
DrawAspect="Content" ObjectID="_1423655779">
</o:OLEObject>
</xml><![endif]-->” dan translasi tunggalnya adalah T=T<sub>1</sub>+T<sub>2</sub>=T<sub>2</sub>+T<sub>1</sub>(sifat
komutatif).<o:p></o:p></span></div>
<ol start="2" style="margin-top: 0cm;" type="1">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">komposisi dua refleksi berurutan<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify; text-indent: 0cm;">
<!--[if !supportLists]--><i><span lang="SV">a.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></i><!--[endif]--><span dir="LTR"></span><i><span lang="SV">refleksi berurutan terhadap
dua sumbu sejajar<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jika titik A(x,y)
direfleksikan terhadap garis x=a dilanjutkan terhadap garis x=b. Maka bayangan
akhir A adalah </span><span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape id="_x0000_i1135"
type="#_x0000_t75" style='width:45pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image148.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image149.gif" v:shapes="_x0000_i1135" width="60" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1135"
DrawAspect="Content" ObjectID="_1423655780">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"> yaitu:<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">x'=2(b-a)+x</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">y'=y</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">Jika titik A(x,y) direfleksikan terhadap garis y=a
dilanjutkan terhadap garis y=b. Maka bayangan akhir A adalah <span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1136" type="#_x0000_t75" style='width:45pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image148.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image149.gif" v:shapes="_x0000_i1136" width="60" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1136"
DrawAspect="Content" ObjectID="_1423655781">
</o:OLEObject>
</xml><![endif]--> yaitu:</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">x'=x</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="EN-US">y'=2(b-a)+y</span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify; text-indent: 0cm;">
<!--[if !supportLists]--><i><span lang="SV">b.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></i><!--[endif]--><span dir="LTR"></span><i><span lang="SV">refleksi terhadap dua sumbu
saling tegak lurus<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jika titik A(x,y)
direfleksikan terhadap garis x=a dilanjutkan terhadap garis y=b (dua sumbu yang
saling tegak lurus) maka bayangan akhir A adalah </span><span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1137" type="#_x0000_t75" style='width:45pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image148.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image149.gif" v:shapes="_x0000_i1137" width="60" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1137"
DrawAspect="Content" ObjectID="_1423655782">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"> sama dengan rotasi titik A(x,y) dengan pusat
titik potong dua sumbu (garis) dan sudut putar 180˚<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify; text-indent: 0cm;">
<!--[if !supportLists]--><i><span lang="SV">c.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></i><!--[endif]--><span dir="LTR"></span><i><span lang="SV">refleksi terhadap dua sumbu
yang saling berpotongan<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Jika titik A(x,y) direleksikan
terhadap garis g dilanjutkan terhadap garis h, maka bayangan akhirnya adalah </span><span lang="EN-US"><span style="position: relative; top: 5pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1138" type="#_x0000_t75" style='width:45pt;height:17.25pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image148.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="23" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image149.gif" v:shapes="_x0000_i1138" width="60" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1138"
DrawAspect="Content" ObjectID="_1423655783">
</o:OLEObject>
</xml><![endif]--></span><span lang="SV"> dengan pusat perpotongan garis g dan h dan
sudut putar 2α(α sudut antara garis g dan h) serta arah putaran dari garis g ke
h.<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Catatan <span style="position: relative; top: 24pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1139" type="#_x0000_t75" style='width:107.25pt;height:71.25pt'
o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image150.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="95" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image151.gif" v:shapes="_x0000_i1139" width="143" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1139"
DrawAspect="Content" ObjectID="_1423655785">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify; text-indent: 0cm;">
<!--[if !supportLists]--><i><span lang="SV">d.<span style="font-family: "Times New Roman"; font-size-adjust: none; font-size: 7pt; font-stretch: normal; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal;">
</span></span></i><!--[endif]--><span dir="LTR"></span><i><span lang="SV">sifat komposisi refleksi<o:p></o:p></span></i></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 54pt; text-align: justify;">
<span lang="SV">Komposisi refleksi (refleksi
berurutan) pada umumnya tidak komutatif kecuali komposisi refleksi terhadap sumbu
x dilanjutkan terhadap sumbu y (dua sumbu yang saling tegak lurus).<o:p></o:p></span></div>
<ol start="3" style="margin-top: 0cm;" type="1">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">rotasi berurutan yang sepusat<o:p></o:p></span></b></li>
<ol start="1" style="margin-top: 0cm;" type="a">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">Diketahui
rotasi R<sub>1</sub>(P(a,b),α) dan R<sub>2</sub>(P(a,b),β), maka
transformasi tunggal dari komposisi transformasi rotasi R<sub>1</sub>
dilanjutkan R<sub>2</sub> adalah rotasi R(P(a,b),α+β)<o:p></o:p></span></li>
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">Rotasi
R<sub>1 </sub>dilanjutkan R<sub>2</sub> sama dengan rotasi R<sub>2 </sub>dilanjutkan
R<sub>1</sub><o:p></o:p></span></li>
</ol>
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">komposisi transformasi<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Diketahui transformasi <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1140" type="#_x0000_t75" style='width:147pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image152.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image153.gif" v:shapes="_x0000_i1140" width="196" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1140"
DrawAspect="Content" ObjectID="_1423655786">
</o:OLEObject>
</xml><![endif]--> maka transformasi
tunggal dari transformasi:<o:p></o:p></span></div>
<ol start="4" style="margin-top: 0cm;" type="1"><ol start="1" style="margin-top: 0cm;" type="a">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">T<sub>1</sub>
dilanjutkan T<sub>2</sub> (T<sub>2 </sub>◦<sub> </sub>T<sub>1</sub>)
adalah T=T<sub>2</sub> . T<sub>1</sub><o:p></o:p></span></li>
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">T<sub>2</sub>
dilanjutkan T<sub>1</sub> (T<sub>1 </sub>◦<sub> </sub>T<sub>2</sub>)
adalah T=T<sub>1</sub> . T<sub>2</sub><o:p></o:p></span></li>
</ol>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Catatan T<sub>1</sub> . T<sub>2</sub>
= T<sub>2</sub> . T<sub>1</sub><o:p></o:p></span></div>
<ol start="5" style="margin-top: 0cm;" type="1">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">bayangan suatu kurva/bangun oleh dua
transformasi atau lebih<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Contoh: Tentukan bayangan
garis -4x+y=5 oleh pencerminan terhadap garis y=x dilanjutkan translasi <span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1141" type="#_x0000_t75" style='width:21pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image154.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image155.gif" v:shapes="_x0000_i1141" width="28" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1141"
DrawAspect="Content" ObjectID="_1423655787">
</o:OLEObject>
</xml><![endif]-->!<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Jawab: misal titik P(x,y) pada
garis -4x+y=5<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> P(x,y) dicerminkan terhadap garis y=x, bayangannya
P'(y,x)<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> P'(y,x) ditranslasi
<span style="position: relative; top: 15pt;"><!--[if gte vml 1]><v:shape
id="_x0000_i1142" type="#_x0000_t75" style='width:21pt;height:36pt' o:ole="">
<v:imagedata src="file:///C:\Users\User\AppData\Local\Temp\msohtmlclip1\01\clip_image154.wmz"
o:title=""/>
</v:shape><![endif]--><!--[if !vml]--><img height="48" src="file:///C:/Users/User/AppData/Local/Temp/msohtmlclip1/01/clip_image155.gif" v:shapes="_x0000_i1142" width="28" /><!--[endif]--></span><!--[if gte mso 9]><xml>
<o:OLEObject Type="Embed" ProgID="Equation.3" ShapeID="_x0000_i1142"
DrawAspect="Content" ObjectID="_1423655788">
</o:OLEObject>
</xml><![endif]-->. Bayangannya P''(y+3, x+2)=P''(x'',y'')<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> Jadi x'' = y +3 → y = x''-3<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> y'' = x +2 → x = y'' -2<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> persamaan -4x+y=5 → -4(y'' -2) + (x'' - 3) =
5<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> -4y'' + 8 + x''
– 3 = 5<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> x''
- 4y''= 0<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV"> jadi bayangan akhirnya adalah x - 4y= 0<o:p></o:p></span></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<br /></div>
<ol start="6" style="margin-top: 0cm;" type="1">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><b><span lang="SV">luas bangun hasil tranformasi<o:p></o:p></span></b></li>
</ol>
<div class="MsoNormal" style="line-height: 150%; margin-left: 36pt; text-align: justify;">
<span lang="SV">Jika suatu bangun (segitiga,
lingkaran, dan lain-lain) ditransformasikan maka:<o:p></o:p></span></div>
<ol start="6" style="margin-top: 0cm;" type="1"><ol start="1" style="margin-top: 0cm;" type="a">
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">Luas
bangun bayangan tetap untuk transformasi : translasi, refleksi, dan
rotasi.<o:p></o:p></span></li>
<li class="MsoNormal" style="line-height: 150%; text-align: justify;"><span lang="SV">Luas
bangun bayangan berubah untuk transformasi dilatasi, yaitu jika luas bangun
mula-mula L setelah didilatasi oleh [P(a,b),k], maka luas bangun
bayangannya adalah L'=k<sup>2</sup> +L</span></li>
</ol>
<ol start="1" style="margin-top: 0cm;" type="a"> </ol>
<ol start="1" style="margin-top: 0cm;" type="a">sumber : http://www.google.com </ol>
</ol>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="line-height: 150%; text-align: justify;">
<br /></div>
Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-51729444781867926512013-02-28T22:09:00.000-08:002013-05-16T22:01:53.988-07:00GRAF<link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml" rel="File-List"></link><link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx" rel="themeData"></link><link href="file:///C:%5CUsers%5CUser%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml" rel="colorSchemeMapping"></link><!--[if gte mso 9]><xml>
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<w:DontVertAlignCellWithSp/>
<w:DontBreakConstrainedForcedTables/>
<w:DontVertAlignInTxbx/>
<w:Word11KerningPairs/>
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<m:mathPr>
<m:mathFont m:val="Cambria Math"/>
<m:brkBin m:val="before"/>
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<m:smallFrac m:val="off"/>
<m:dispDef/>
<m:lMargin m:val="0"/>
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</xml><![endif]--><!--[if gte mso 9]><xml>
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<a href="http://www.blogger.com/blogger.g?blogID=8779116867548772520" name="more"></a><b><span style="color: magenta; font-family: "Castellar","serif"; font-size: 18pt; line-height: 150%;">GRAPH</span></b><o:p></o:p></div>
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<br /></div>
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<b><i><u><span style="color: blue; font-family: "Arial","sans-serif"; font-size: 16pt; line-height: 150%;">Sejarah Graf</span></u></i></b><o:p></o:p></div>
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<span style="color: #3d85c6; font-family: "Arial","sans-serif";"> </span><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";">Penemu graf adalah L. Euler ( Leonhard Euler ). Graf ditemukan disebuah
jembatan Königsberg (tahun1736). Di kota Königsberg (sebelah timur negara
bagian Prussia, Jerman), yang sekarang bernama kota Kaliningrad, terdapat
sungai Pregal yg mengalir mengintari pulau Kneiphof lalu bercabang menjadi dua
buah anak sungai. Ada 7 buah jembatan yg menghubungkan daratan yg dibelah oleh
sungai tersebut. </span><span style="color: black; font-family: "Comic Sans MS";">Sejarah Graf : masalah jembatan Königsberg
(tahun 1736)</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf yang merepresentasikan jembatan
Königsberg:</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Simpul (<i>vertex</i>)
à menyatakan daratan</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Sisi (<i>edge</i>)
à menyatakan jembatan</span><o:p></o:p></div>
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<b><i><u><span style="color: blue; font-family: "Times","serif"; font-size: 16pt; line-height: 150%;">Definisi Graf</span></u></i></b><o:p></o:p></div>
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</span></b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";">Graf merupakan sebagai pasangan
himpunan (<i>V, E</i>), ditulis dengan notasi<i> G </i>= (<i>V</i>,
<i>E</i>), yang dalam hal ini:</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">– <i>V </i> = himpunan tidak - kosong
dari simpul-simpul (<i>vertices</i>) = { <i>v</i>1 , <i>v</i>2 , ... , <i>vn </i>},
dan</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">– <i>E </i> = himpunan sisi (<i>edges</i>)
yang mnghubungkan sepasang simpul = {<i>e</i>1 , <i>e</i>2 , ... , <i>en </i>}</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Definisi diatas mengatakan bahwa V tidak boleh kosong, sedangkan E boleh
kosong.</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Jadi sebuah graf dimungkinkan tidak
mempunyai sisi satu buah pun, tetapi simpulnya harus ada.</span><o:p></o:p></div>
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<br /></div>
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<b><i><u><span style="color: blue; font-family: "Times","serif"; font-size: 16pt; line-height: 150%;">Unsur - Unsur dari
Graf</span></u></i></b><o:p></o:p></div>
<ul type="disc">
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><span style="font-family: "Comic Sans MS";">Simpul (Vertex) adalah daratan ( titik - titik yg
dihubungkan oleh jembatan ), yang dinyatakan sebagai titik (noktah).</span><span style="font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><span style="font-family: "Comic Sans MS";">Sisi (Edge) adalah jembatan yang dinyatakan
sebagai garis.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><span style="font-family: "Comic Sans MS";">Garis Paralel adalah pada G<sub>2, </sub>sisi E<sub>3</sub>
= (1,3) dan sisi E<sub>4</sub> = (1,3) dinamakan sisi ganda.</span><o:p></o:p></li>
</ul>
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<b><i><u><span style="color: blue; font-family: "Times","serif"; font-size: 14pt; line-height: 150%;">Komponen Graf</span></u></i></b><o:p></o:p></div>
<ul type="disc">
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; font-family: "Comic Sans MS";">Alur</span></b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; font-family: "Comic Sans MS";"> adalah setiap lintasan yang semua titik simpul berbeda satu sama lain
kecuali titik awal dan titik akhirnya.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";"> Panjang</span></b><span style="font-family: "Comic Sans MS";"> adalah banyak sisi / lintasan
yang ditempuh.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";"> Derajat</span></b><span style="font-family: "Comic Sans MS";"> adalah jumlah rusuk atau sisi
yang menuju satu titik simpul.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Titik terasing </span></b><span style="font-family: "Comic Sans MS";">adalah titik yang tidak
memiliki garis penghubung / jalan.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><span style="font-family: "Comic Sans MS";"> <b>Jalan tapak</b> adalah suatu lintasan
yang tidak memiliki dua rusuk yang sama.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";"> Ketetanggan </span></b><span style="font-family: "Comic Sans MS";">adalah dua
buah simpul dikatakan <i>bertetangga </i>bila keduanya terhubung langsung.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Simpul terpencil </span></b><span style="font-family: "Comic Sans MS";">adalah simpul
yang tidak mempunyai sisi yang bersisian dengannya. </span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Graf Kosong</span></b><span style="font-family: "Comic Sans MS";"> adalah
graf yang himpunan sisinya merupakan himpunan kosong (<i>N<sub>n</sub></i>).<b> </b></span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Siklus atau sirkuit </span></b><span style="font-family: "Comic Sans MS";">adalah
lintasan yang berawal dan berakhir pada simpul yang sama.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Panjang sirkuit</span></b><span style="font-family: "Comic Sans MS";"> adalah jumlah sisi dalam
sirkuit tersebut.<b> </b></span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Terhubung</span></b><span style="font-family: "Comic Sans MS";"> adalah dua buah simpul <i>v</i><sub>1</sub>
dan simpul <i>v</i><sub>2</sub> disebut terhubung jika terdapat lintasan
dari <i>v</i><sub>1</sub>. Graf berarah <i>G</i> dikatakan terhubung jika
graf tidak berarahnya terhubung (graf tidak berarah dari <i>G</i>diperoleh
dengan menghilangkan arahnya).<br />
Dua simpul, <i>u</i> dan <i>v</i>, pada graf berarah <i>G</i> disebut
terhubung kuat (<i>strongly connected</i>) jika terdapat lintasan berarah
dari <i>u</i> ke <i>v</i> dan juga lintasan berarah dari <i>v</i> ke <i>u</i>.
Jika <i>u</i> dan <i>v</i> tidak terhubung kuat tetapi terhubung pada graf
tidak berarahnya, maka <i>u</i> dan <i>v </i>dikatakan<b> </b>terhubung<i>
</i>lemah (<i>weakly coonected</i>).<br />
Graf berarah <i>G</i> disebut<b> </b>graf terhubung kuat (<i>strongly
connected graph</i>) apabila untuk setiap pasang simpul sembarang <i>u</i>
dan <i>v</i> di <i>G</i>, terhubung kuat. Kalau tidak, <i>G</i> disebut
graf terhubung lemah.</span><o:p></o:p></li>
</ul>
<ul type="disc">
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Upagraf dan Komplomen Upagraf</span></b><span style="font-family: "Comic Sans MS";">
Komplemen dari upagraf <i>G</i><sub>1</sub> terhadap
graf <i>G</i> adalah graf <i>G</i><sub>2</sub> = (<i>V</i><sub>2</sub>, <i>E</i><sub>2</sub>)
sedemikian sehingga <i>E</i><sub>2</sub> = <i>E</i> - <i>E</i><sub>1</sub>
dan <i>V</i><sub>2</sub> adalah himpunan simpul yang anggota-anggota <i>E</i><sub>2</sub>
bersisian dengannya.Komponen graf (<i>connected component</i>) adalah
jumlah maksimum upagraf terhubung dalam graf <i>G</i>.</span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">UpagrafRentang</span></b><span style="font-family: "Comic Sans MS";"> Upagraf
<i>G</i><sub>1 </sub>= (<i>V</i><sub>1</sub>, <i>E</i><sub>1</sub>) dari <i>G</i>
= (<i>V</i>, <i>E</i>) dikatakan upagraf rentang jika <i>V</i><sub>1 </sub>=<i>V</i>
(yaitu <i>G</i><sub>1</sub> mengandung semua simpul dari <i>G</i>). </span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Cut - Set</span></b><span style="font-family: "Comic Sans MS";"> <i>adalah </i>adalah
himpunan sisi yang bila dibuang dari <i>G</i> menyebabkan <i>G</i> tidak
terhubung. Jadi, <i>cut-set</i> selalu menghasilkan dua buah komponen.
<br />
Contoh : <br />
Pada graf di bawah, {(1,2), (1,5), (3,5), (3,4)} adalah <i>cut-set</i>.
Terdapat banyak <i>cut-set </i>pada sebuah graf terhubung. Himpunan
{(1,2), (2,5)} juga adalah <i>cut-set</i>, {(1,3), (1,5), (1,2)} adalah <i>cut-set</i>,
{(2,6)} juga <i>cut-set</i>, tetapi {(1,2), (2,5), (4,5)} bukan <i>cut-set
</i>sebab himpunan bagiannya, {(1,2), (2,5)} adalah <i>cut-set</i>. </span><o:p></o:p></li>
<li class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; line-height: 150%; text-align: justify;"><b><span style="font-family: "Comic Sans MS";">Graf berbobot </span></b><span style="font-family: "Comic Sans MS";">adalah graf yang setiap sisinya
diberi sebuah harga (bobot). </span><o:p></o:p></li>
</ul>
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<b><i><u><span style="color: blue; font-family: "Times","serif"; font-size: 14pt; line-height: 150%;">Jenis - Jenis Graf</span></u></i></b><o:p></o:p></div>
<div class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; line-height: 150%; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: #3d85c6; font-family: "Comic Sans MS";"> </span><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";"> Berdasarkan ada tidaknya gelang atau sisi ganda pada suatu graf,
maka graf digolongkan menjadi dua jenis:</span><o:p></o:p></div>
<div class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; line-height: 150%; margin-bottom: 0.0001pt; text-align: justify;">
<b><span style="color: black; font-family: "Comic Sans MS";">1. Graf sederhana </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>simple
graph</i>).</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf yang tidak mengandung gelang maupun
sisi ganda dinamakan graf sederhana. <i>G</i>1 pada contoh graf sederhana.</span><o:p></o:p></div>
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<br /></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">2. Graf tak-sederhana </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>unsimple-graph</i>).</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf yang mengandung sisi ganda atau
gelang dinamakan graf tak-sederhana (<i>unsimple graph</i>). <i>G</i>2 dan <i>G</i>3
pada contoh adalah graf tak-sederhana.</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Berdasarkan jumlah simpul pada suatu graf, maka secara umum graf dapat
digolongkan menjadi dua jenis:</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">1. Graf berhingga </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>limited
graph</i>)</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Graf
berhingga adalah graf yang jumlah simpulnya, <i>n</i>, <b>berhingga.</b></span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">2. Graf tak-berhingga </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>unlimited
graph</i>)</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Graf yang jumlah
simpulnya, <i>n</i>, tidak berhingga banyaknya disebut <b>graf takberhingga</b>.</span><o:p></o:p></div>
<div class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; line-height: 150%; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "Comic Sans MS";">
Berdasarkan orientasi arah pada sisi, maka secara umum graf dibedakan atas dua
jenis:</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">1. Graf tak-berarah </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>undirected
graph</i>)</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf yang sisinya tidak mempunyai
orientasi arah disebut graf tak-berarah. Tiga buah graf
pada contoh a,b,dan c adalah graf tak-berarah.</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">2. Graf berarah </span></b><span style="color: black; font-family: "Comic Sans MS";">(<i>directed
graph </i>atau <i>digraph</i>)</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Graf yang setiap
sisinya diberikan orientasi arah disebut sebagai graf berarah.</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Pada graf berarah
notasi : d(v) </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
<i>d</i><sub>in</sub>(<i>v</i>) = derajat-masuk (<i>in-degree</i>) </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
= jumlah busur yang masuk ke simpul v</span><o:p></o:p></div>
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<br /></div>
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<span style="color: black; font-family: "Comic Sans MS";">
<i>d</i><sub>out</sub>(<i>v</i>) = derajat-keluar (<i>out-degree</i>) </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
= jumlah busur yang keluar dari simpul <i>v</i></span><o:p></o:p></div>
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<br /></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">
</span></b><span style="color: black; font-family: "Comic Sans MS";">Lemma Jabat Tangan.<b> </b>Jumlah derajat semua simpul
pada suatu graf adalah genap, yaitu dua kali jumlah sisi pada graf
tersebut. Dengan kata lain, jika <i>G</i> = (<i>V</i>, <i>E</i>), maka :</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Tinjau graf <i>G</i><sub>1</sub>: <i>d</i>(1)
+ <i>d</i>(2) + <i>d</i>(3) + <i>d</i>(4) = 2 + 3 + 3 + 2 = 10</span><o:p></o:p></div>
<div class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; line-height: 150%; margin-bottom: 0.0001pt; text-align: justify;">
<span style="color: black; font-family: "Comic Sans MS";"> =
2 ´ jumlah sisi = 2 ´ 5</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Tinjau graf <i>G</i><sub>2</sub>: <i>d</i>(1)
+ <i>d</i>(2) + <i>d</i>(3) = 3 + 3 + 4 = 10</span><o:p></o:p></div>
<div class="MsoNormal" style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; line-height: 150%; margin-bottom: 0.0001pt; text-align: justify; text-indent: 36pt;">
<span style="color: black; font-family: "Comic Sans MS";">
= 2 ´ jumlah sisi = 2 ´ 5</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Tinjau graf <i>G</i><sub>3</sub>: <i>d</i>(1)
+ <i>d</i>(2) + <i>d</i>(3) + <i>d</i>(4) + <i>d</i>(5) = 2 + 2 + 3 + 1 + 0 = 8
</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
= 2 ´ jumlah sisi = 2 ´ 4</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">Contoh :</span></b><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Diketahui graf dengan lima buah simpul.
Dapatkah kita menggambar graf tersebut jika derajat masing-masing simpul
adalah:</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
(a) 2, 3, 1, 1, 2</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
(b) 2, 3, 3, 4, 4</span><o:p></o:p></div>
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<u><span style="color: black; font-family: "Comic Sans MS";">Penyelesaian</span></u><span style="color: black; font-family: "Comic Sans MS";">:
</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">(a)</span><span style="color: black; font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><span style="color: black; font-family: "Comic Sans MS";">tidak dapat, karena
jumlah derajat semua simpulnya ganjil</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> (2
+ 3 + 1 + 1 + 2 = 9).</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">(b) dapat, karena jumlah derajat semua
simpulnya genap </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> (2 +
3 + 3 + 4 + 4 = 16). </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Lintasan
yang panjangnya <i>n</i> dari simpul awal <i>v</i><sub>0</sub> ke simpul tujuan
<i>v<sub>n</sub> </i>di<i> </i>dalam graf <i>G</i> ialah barisan
berselang-seling simpul-simpul dan sisi-sisi yang berbentuk <i>v</i><sub>0</sub>,
<i>e</i><sub>1</sub>, <i>v</i><sub>1</sub>, <i>e</i><sub>2</sub>, <i>v</i><sub>2</sub>,...
, <i>v<sub>n</sub></i><sub> –1</sub>, <i>e<sub>n</sub></i>, <i>v<sub>n</sub></i>
sedemikian sehingga <i>e</i><sub>1</sub> = (<i>v</i><sub>0</sub>, <i>v</i><sub>1</sub>),
<i>e</i><sub>2</sub> = (<i>v</i><sub>1</sub>, <i>v</i><sub>2</sub>), ... , <i>e<sub>n</sub></i>
= (<i>v<sub>n</sub></i><sub>-1</sub>, <i>v<sub>n</sub></i>) adalah sisi-sisi
dari graf <i>G</i>. </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Tinjau graf <i>G</i><sub>1</sub>: lintasan 1, 2, 4, 3 adalah lintasan dengan
barisan sisi (1,2), (2,4), (4,3).</span><o:p></o:p></div>
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<span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";">Panjang lintasan adalah
jumlah sisi dalam lintasan tersebut. Lintasan 1, 2, 4, 3 pada <i>G</i><sub>1</sub></span><span style="color: black; font-family: "Comic Sans MS";"> <span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%;">memiliki panjang 3.</span></span><o:p></o:p></div>
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<b><i><u><span style="color: blue; font-family: "Times","serif"; font-size: 14pt; line-height: 150%;">Beberapa Graf Sederhana
Khusus</span></u></i></b><o:p></o:p></div>
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<b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";">a</span></b><b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: #3d85c6; font-family: "Comic Sans MS";">.</span></b><b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: black; font-family: "Comic Sans MS";"> </span></b><b><span style="color: black; font-family: "Comic Sans MS";">Graf
Lengkap</span></b><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf
lengkap ialah graf sederhana yang setiap simpulnya mempunyai sisi ke semua
simpul lainnya. Graf lengkap dengan <i>n</i> buah simpul dilambangkan dengan <i>K<sub>n</sub></i>.
Jumlah sisi pada graf lengkap yang terdiri dari <i>n</i> buah simpul adalah <i>n</i>(<i>n</i>
– 1)/2. </span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">b. Graf Lingkaran</span></b><b><span style="color: black; font-family: "Comic Sans MS"; font-size: 10pt; line-height: 150%;"> </span></b><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS"; font-size: 10pt; line-height: 150%;">
</span></b><b><span style="color: black; font-family: "Comic Sans MS";"> </span></b><span style="color: black; font-family: "Comic Sans MS";">Graf lingkaran<b> </b>adalah
graf sederhana yang setiap<b> </b>simpulnya berderajat dua. Graf<b> </b>lingkaran
dengan<b> </b><i>n</i> simpul dilambangkan dengan <i>C<sub>n</sub></i>. <b> </b></span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">c. Graf Teratur</span></b><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">
</span></b><span style="color: black; font-family: "Comic Sans MS";">Graf yang setiap simpulnya<b> </b>mempunyai derajat
yang sama disebut graf teratur.<b> </b>Apabila derajat setiap simpul adalah <i>r</i>,
maka graf tersebut disebut sbagai graf teratur derajat <i>r.</i></span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">d. Graf <i>Bipartite</i></span></b><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf
<i>G</i> yang himpunan simpulnya dapat dipisah menjadi dua himpunan bagian <i>V</i><sub>1</sub>
dan <i>V</i><sub>2</sub>, sedemikian sehingga setiap sisi pada <i>G</i>
menghubungkan sebuah simpul di <i>V</i><sub>1</sub> ke sebuah simpul di <i>V</i><sub>2</sub>
disebut graf bipartit dan dinyatakan sebagai <i>G</i>(<i>V</i><sub>1</sub>, <i>V</i><sub>2</sub>). </span><o:p></o:p></div>
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<br /></div>
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<b><i><u><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: blue; font-family: "Arial","sans-serif"; font-size: 14pt; line-height: 150%;">Macam -
Macam Graf</span></u></i></b><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">A<span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%;">.</span></span></b><span style="-moz-background-clip: border; -moz-background-inline-policy: continuous; -moz-background-origin: padding; background: white none repeat scroll 0% 0%; color: #3d85c6; font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><span style="color: #3d85c6; font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><b><span style="color: black; font-family: "Comic Sans MS";">Graf
Euler</span></b><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Lintasan
Euler ialah lintasan yang melalui masing-masing sisi di dalam graf tepat satu
kali. Sirkuit Euler ialah sirkuit yang melewati masing-masing sisi tepat satu
kali.Graf yang mempunyai sirkuit Euler disebut graf Euler (<i>Eulerian graph</i>).
</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf
yang mempunyai lintasan Euler dinamakan juga graf semi-Euler (<i>semi-Eulerian
graph</i>)</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">Contoh : </span></b><span style="color: black; font-family: "Comic Sans MS";">Lintasan
Euler pada graf Gambar 6.42(a) : 3, 1, 2, 3, 4, 1</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Lintasan
Euler pada graf Gambar 5.42(b) : 1, 2, 4, 6, 2, 3, 6, 5, 1, 3</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Sirkuit
Euler pada graf Gambar 6.42(c) : 1, 2, 3, 4, 7, 3, 5, 7, 6,
5, 2, 6, 1</span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";"> Sirkuit
Euler pada graf Gambar 6.42(d) : <i>a</i>, <i>c</i>, <i>f</i>,
<i>e</i>, <i>c</i>, <i>b</i>, <i>d</i>, <i>e</i>, <i>a</i>, <i>d</i>, <i>f</i>,
<i>b</i>, <i>a</i></span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Graf (e) dan (f) tidak mempunyai lintasan
maupun sirkuit Euler.</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">B.</span></b><span style="color: black; font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><b><span style="color: black; font-family: "Comic Sans MS";">Graf Hamilton</span></b><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">
Lintasan Hamilton ialah lintasan yang melalui tiap simpul di dalam graf tepat
satu kali. </span><o:p></o:p></div>
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<span style="color: black; font-family: "Comic Sans MS";">Sirkuit
Hamilton ialah sirkuit yang melalui tiap simpul di dalam graf tepat satu kali,
kecuali simpul asal (sekaligus simpul akhir) yang dilalui dua kali.Graf yang
memiliki sirkuit Hamilton dinamakan graf Hamilton, sedangkan graf yang hanya
memiliki lintasan Hamilton disebut graf semi-Hamilton.</span><o:p></o:p></div>
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<b><span style="color: black; font-family: "Comic Sans MS";">C.</span></b><span style="color: black; font-family: "Comic Sans MS"; font-size: 7pt; line-height: 150%;"> </span><b><span style="color: black; font-family: "Comic Sans MS";">Graf Isomorfik</span></b><o:p></o:p></div>
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<span style="color: black; font-family: Symbol; font-size: 10pt; line-height: 150%;">·</span><span style="color: black; font-size: 7pt; line-height: 150%;">
</span><span style="color: black; font-family: "Comic Sans MS";">Dua
buah graf yang sama tetapi secara geometri berbeda disebut graf
yang saling
isomorfik. </span><o:p></o:p></div>
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<span style="color: black; font-family: Symbol; font-size: 10pt; line-height: 150%;">·</span><span style="color: black; font-size: 7pt; line-height: 150%;">
</span><span style="color: black; font-family: "Comic Sans MS";">Dua
buah graf, <i>G</i><sub>1 </sub>dan <i>G</i><sub>2</sub> dikatakan isomorfik
jika terdapat korespondensi satu-satu antara simpul-simpul keduanya dan antara sisi-sisi
keduaya sedemikian sehingga hubungan kebersisian tetap terjaga.</span><o:p></o:p></div>
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<span style="color: black; font-family: Symbol; font-size: 10pt; line-height: 150%;">·</span><span style="color: black; font-size: 7pt; line-height: 150%;">
</span><span style="color: black; font-family: "Comic Sans MS";">Dengan
kata lain, misalkan sisi <i>e</i> bersisian dengan simpul <i>u</i> dan <i>v</i>
di <i>G</i><sub>1</sub>, maka sisi <i>e</i>’ yang berkoresponden di <i>G</i><sub>2</sub>
harus bersisian dengan simpul <i>u</i>’ dan <i>v</i>’ yang di <i>G</i><sub>2</sub>.</span><o:p></o:p></div>
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<span style="color: black; font-family: Symbol; font-size: 10pt; line-height: 150%;">·</span><span style="color: black; font-size: 7pt; line-height: 150%;">
</span><span style="color: black; font-family: "Comic Sans MS";">Dua
buah graf yang isomorfik adalah graf yang sama, kecuali penamaan simpul dan
sisinya saja yang berbeda. Ini benar karena sebuah graf dapat digambarkan
dalam banyak cara</span></div>
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<br /></div>
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<span style="color: black; font-family: "Comic Sans MS";">sumber :www.google.com </span></div>
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Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0tag:blogger.com,1999:blog-8779116867548772520.post-20460578224424372152013-02-12T07:02:00.001-08:002013-02-12T07:02:06.896-08:00<a href="http://www.iaincirebon.ac.id/tmtk">www.iaincirebon.ac.id/tmtk</a><br />Anonymoushttp://www.blogger.com/profile/10859948384680310722noreply@blogger.com0