Question

All rectangles are __________ to each other. (Similar/ Not Similar)

Answer 1

Determine if all rectangles are similar or not similar.

We know that two polygons with the same number of sides are similar if,

1. Their corresponding angles are equal.
2. Their corresponding sides are in proportion.

Since in a rectangle, all the angles are ${90}^{\circ }$, the corresponding angles are equal, hence condition (a) is fulfilled.

The opposite sides of a rectangle are equal, but the ratio of the adjacent sides may not be in proportion, hence condition (b) is not fulfilled.

Thus, all rectangles are not similar to each other.