Question

are these shapes similar?

Explanation:

Step1: Recall similarity criteria

For two polygons to be similar, their corresponding angles must be equal and the ratios of their corresponding side - lengths must be equal.

Step2: Check angle - equality

Both shapes are squares. In squares, all angles are right - angles (90°). So, the corresponding angles of the two squares are equal.

Step3: Check side - length ratio

The side - length of the first square is 41 mi and the side - length of the second square is 31 mi. The ratio of the side - lengths of the first square to the second square is $\frac{41}{31}$, which is not equal to 1. Since the ratios of the corresponding side - lengths are not equal, the two shapes are not similar.

Answer:

no