Question

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 correspon de of
figure w, so the corresp sides
? proportional

Explanation:

Step1: Determine side lengths

Let's assume a side length of figure \(W\). For example, if we consider a horizontal side of \(W\) that spans \(3\) units (counting grid - squares). A corresponding horizontal side of \(W'\) spans \(1\) unit.

Step2: Calculate the ratio

The ratio of the side length of \(W'\) to the side length of \(W\) is \(\frac{\text{Side length of }W'}{\text{Side length of }W}\). Using the example above, if \(l_{W}=3\) and \(l_{W'}=1\), then the ratio \(r=\frac{1}{3}\)

Answer:

Each side of figure \(W'\) is \(\frac{1}{3}\) times as long as the corresponding side of figure \(W\), so the corresponding sides are proportional.