Question

determine whether triangle mno is a dilation of triangle mno. the transformation is an enlargement with scale factor 2. a reduction with scale factor 1/9. a reduction with scale factor 1/2. not a dilation because the points of the image are not moved toward the center of dilation proportionally.

Explanation:

Step1: Check side - length ratios

For side $CM$, $CM' = 3$ and $CM=3 + 3=6$. The ratio $\frac{CM'}{CM}=\frac{3}{6}=\frac{1}{2}$. For side $CO$, $CO' = 2$ and $CO=2 + 6 = 8$. The ratio $\frac{CO'}{CO}=\frac{2}{8}=\frac{1}{4}$. Since the ratios of corresponding distances from the center of dilation $C$ to the vertices are not equal, it's not a dilation.

Answer:

not a dilation because the points of the image are not moved toward the center of dilation proportionally