Question

are these shapes similar?

Explanation:

Step1: Check ratio of corresponding sides

For the first pair of corresponding sides: $\frac{18}{24}=\frac{3}{4}$, for the second pair $\frac{21}{28}=\frac{3}{4}$.

Step2: Check angle - congruence

The marked angles in both shapes are congruent.

Step3: Apply similarity criteria

Since the ratios of corresponding sides are equal and corresponding angles are congruent, the shapes are similar.

Answer:

yes