Question

two figures are dilations of each other if they are similar. use similarity to check if figure 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 correspond de of figure m, so the corresp sides proportion

Explanation:

Step1: Determine the side lengths

Let's assume a side length of figure \(M\). Suppose a side of \(M\) is \(1\) unit (by counting grid - squares). For the corresponding side of \(M'\), by counting grid - squares, it is \(2\) units.

Step2: Calculate the ratio

The ratio of the side length of \(M'\) to the side length of \(M\) is \(\frac{\text{Side of }M'}{\text{Side of }M}\). If \(a = 1\) (side of \(M\)) and \(A=2\) (side of \(M'\)), the ratio is \(\frac{A}{a}=\frac{2}{1} = 2\).

Answer:

\(2\)