Question

triangle XYZ where X(6, 3), Y(-2, 4), and Z(10, -2) becomes triangle X’Y’Z’ where X’(3, 1.5), Y’(-1, 2), and Z’(5, -1). What is the scale factor for this dilation?

Answer 1

X'=mX
\[\left(\begin{matrix}3 \\ 1.5\end{matrix}\right) = m \left(\begin{matrix}6 \\ 3\end{matrix}\right)\]
\[\left(\begin{matrix}3 \\ 1.5\end{matrix}\right) = \left(\begin{matrix}6m \\ 3m\end{matrix}\right)\]
3=6m
m=1/2
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