Question

are these shapes similar?

Explanation:

Step1: Recall similarity condition

For two polygons to be similar, their corresponding angles must be equal and corresponding - side lengths must be in proportion.

Step2: Check angle - equality

Both shapes are squares. All angles in a square are right - angles (90°). So, corresponding angles are equal.

Step3: Check side - length proportion

The side lengths of the first square are 25 in and of the second square are 29 in. The ratio of the side lengths of the first square to the second square is $\frac{25}{29}$. Since the ratio of corresponding side lengths is a constant ($\frac{25}{29}$), the side lengths are in proportion.

Answer:

yes