Question

are these shapes similar? yes no

Explanation:

Step1: Calculate the ratio of corresponding sides

For the first parallelogram \(GHEF\) with sides \(24\) mi and \(32\) mi, and the second parallelogram \(VYWX\) with sides \(30\) mi and \(40\) mi.
The ratio of the shorter sides: \(\frac{24}{30}=\frac{4}{5}\)
The ratio of the longer sides: \(\frac{32}{40}=\frac{4}{5}\)

Step2: Check the angle - equality

Since both are parallelograms, opposite angles are equal. And from the markings, the corresponding angles are equal.

Answer:

yes