Question

are these shapes similar?

Explanation:

Step1: Check the angles

All angles in both shapes are \(90^{\circ}\), so angles are equal.

Step2: Check the side - length ratios

For the first shape (a square), all sides are equal. For the second shape (a rectangle), adjacent sides are not equal. The ratio of corresponding sides is not consistent. For example, if we assume the side of the square is \(a\) (all sides \(a\)) and the rectangle has sides \(b\) and \(c\) (\(b
eq c\)). The ratio of one pair of corresponding sides is \(\frac{a}{b}\) and for another pair is \(\frac{a}{c}\), and \(\frac{a}{b}
eq\frac{a}{c}\) (since \(b
eq c\)).

Answer:

No