Question

two figures are dilations of each other if they are similar. use similarity to check if figure m is a dilation of figure m. similar figures: - corresponding sides are proportional. - corresponding angles are equal. are the corresponding sides of figures m and m proportional? each side of figure m is? times as long as the corresponding side of figure m, so the corresponding sides? proportional

Explanation:

Step1: Compare corresponding sides

Assume figure M has a side length of 1 unit (grid square side). Figure M' has corresponding sides of 3 units.
Ratio: $\frac{\text{Side of } M'}{\text{Side of } M} = \frac{3}{1} = 3$

Step2: Check proportionality

All corresponding sides of M' are 3 times those of M, so they are proportional.

Answer:

3, proportional