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 side - length ratios

For the first shape (a square with side - length 27 mm) and the second shape (a rectangle with sides 27 mm and 31 mm), the ratio of the sides of the first shape to the second shape:
Let's assume the first shape has side \(a = 27\) and the second shape has sides \(b = 27\) and \(c = 31\). The ratios of the sides are \(\frac{27}{27}=1\) and \(\frac{27}{31}
eq1\). Since the ratios of the corresponding sides are not equal.

Answer:

no