Dilatefigure AXYZ bya scale factorof k = ;. Whatis the image ofZ?

Given:
The given triangle is
Required:
We have to find the coordinates of Z after dilation.
Explanation:
If we dilate the figure by a factor
[tex]\text{ K}=\frac{1}{2}[/tex]then to find the new orordinates we have to divide each coordinate by
[tex]\frac{1}{2}[/tex]From the figure, we can see that the coordinate of Z is
[tex](-4,-4)[/tex]Hence the new coordinate that we get after dilation is
[tex](\frac{-4}{2},\frac{-4}{2})=(-2,-2)[/tex]Final answer:
Hence the final answer is
[tex](-2,-2)[/tex]