Transformasi Geometri Rotasi - Apa itu rotasi? Rotasi atau perputaran adalah transformasi yang memetakan setiap titik pada bidang ke titik lainnya dengan cara memutar pada pusat titik tertentu.
Rotasi atau perputaran pada bidang datar ditentukan oleh 3 hal, yaitu
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Tentang:
Matematika
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Transformasi Geometri Rotasi |
Rotasi atau perputaran pada bidang datar ditentukan oleh 3 hal, yaitu
1. Pusat perputaran
2. Arah perputaran
3. Besar sudut perputaran
2. Arah perputaran
3. Besar sudut perputaran
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dan
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Dari persamaan di atas, maka dapat diperoleh:
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Atau dapat diperoleh matriksnya yaitu sebagai berikut:
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Jadi, kita memmperolah matriks transformasi rotasi (putaran) yang sesuai dengan rotasi
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Dalam bentuk pemetaan rotasi (putaran) tersebut kita juga dapat menotasikan pemetaan
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Untuk lebih jelasnya, mari kita perhatikan contoh berikut:
Contoh 1.
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Penyelesaian:
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hasil matriks transformasinya yaitu sebagai berikut:
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Jadi hasil pemetaan dari titik A(-3, 5) dengan pusat rotasi (putaran) yaitu O(0,0) dan diputar
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Contoh 2.
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Penyelesaian:
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persamaan rotasi atau putarannya yaitu:
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Atau
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