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.

Explanation:

Step1: Determine the length of corresponding sides

Let's assume a side length of figure \(W\) is \(4\) units (for example, a horizontal side). For figure \(W'\), the corresponding horizontal side is \(2\) units.

Step2: Calculate the ratio

The ratio of the side length of \(W'\) to \(W\) is \(\frac{2}{4}=\frac{1}{2}\).

Answer:

Each side of figure \(W'\) is \(\frac{1}{2}\) times as long as the corresponding side of figure \(W\), so the corresponding sides are proportional.