Question

are these shapes similar? yes no

Explanation:

Step1: Check the ratios of corresponding sides

For the first parallelogram, sides are \(24\) and \(32\). For the second parallelogram, sides are \(18\) and \(24\).
The ratio of \(24\) to \(18\) is \(\frac{24}{18}=\frac{4}{3}\), and the ratio of \(32\) to \(24\) is \(\frac{32}{24}=\frac{4}{3}\).

Step2: Check the angles

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Since both are parallelograms, their corresponding angles are equal.

Answer:

yes