Question

two figures are dilations of each other if they are similar. use similarity to check if figure w is a dilation of figure w. similar figures: corresponding sides are proportional. corresponding angles are equal. are the corresponding sides of figures w and w proportional? each side of figure w is? times as long as the corresponding side of figure w, so the corresponding sides? proportional. 1/9 1/3 1 3

Explanation:

Step1: Identify side - lengths

Count the grid - units for corresponding sides of \(W\) and \(W'\). Let's assume a horizontal side of \(W\) is \(3\) grid - units long and the corresponding horizontal side of \(W'\) is \(1\) grid - unit long.

Step2: Calculate the ratio

The ratio of the side - length of \(W'\) to the side - length of \(W\) is \(\frac{1}{3}\). If we check other corresponding sides, we will find the same ratio. For example, if a vertical side of \(W\) is \(3\) grid - units long and the corresponding vertical side of \(W'\) is \(1\) grid - unit long, the ratio is also \(\frac{1}{3}\).

Answer:

\(\frac{1}{3}\), yes