diketahui koordinat titik P(-8,12).dilatasi [P, ¼] memetakan titik (-4,8) ke titik...??
Matematika
Afrina14
Pertanyaan
diketahui koordinat titik P(-8,12).dilatasi [P, ¼] memetakan titik (-4,8) ke titik...??
1 Jawaban
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1. Jawaban PembahasanMatematika
[tex]\left[\begin{array}{ccc}x'\\y'\end{array}\right] = \left[\begin{array}{ccc} \frac{1}{4}&0 \\0&\frac{1}{4}\end{array}\right] \left[\begin{array}{ccc}-4-(-8)\\8-12\end{array}\right] +\left[\begin{array}{ccc}-8\\12\end{array}\right] \\ = \left[\begin{array}{ccc} \frac{1}{4}&0 \\0&\frac{1}{4}\end{array}\right] \left[\begin{array}{ccc}4\\-4\end{array}\right] +\left[\begin{array}{ccc}-8\\12\end{array}\right] \\ =\right] \left[\begin{array}{ccc}1\\-1\end{array}\right] +\left[\begin{array}{ccc}-8\\12\end{array}\right] \\=\left[\begin{array}{ccc}-7\\11\end{array}\right] \\ [/tex]
jadi bayangannya adalah (-7,11)