Titik A (5,-1) dirotasikan terhadap titik B (2,3) sejauh 90 derajat searah putaran jarum jam. Bayangan titk A adalah
Matematika
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Pertanyaan
Titik A (5,-1) dirotasikan terhadap titik B (2,3) sejauh 90 derajat searah putaran jarum jam. Bayangan titk A adalah
1 Jawaban
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1. Jawaban Takamori37
90 searah jarum jam
Sudut = -90 djt
[tex]A' = \left[\begin{array}{cc}\cos -90&-\sin -90\\\sin -90&\cos -90\end{array}\right]\left[\begin{array}{cc}5-2\\-1-3\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}0&1\\-1&0\end{array}\right]\left[\begin{array}{cc}3\\-4\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}-4\\-3\end{array}\right]+\left[\begin{array}{cc}2\\3\end{array}\right] \\ A'=\left[\begin{array}{cc}-2\\0\end{array}\right][/tex]
Bayangan A berada di (-2,0)