Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

20. why is a square always a rectangle, but a rectangle is not always a…

Question

  1. why is a square always a rectangle, but a rectangle is not always a square?

Explanation:

Brief Explanations

A rectangle is defined as a quadrilateral with four right - angles. A square has four right - angles and four equal sides. Since a square meets the criteria of a rectangle (four right - angles), it is always a rectangle. However, a rectangle only requires four right - angles and its adjacent sides can be of different lengths, so it is not always a square.

Answer:

A square is always a rectangle because it has four right - angles which is the key property of a rectangle. A rectangle is not always a square because while it has four right - angles, its sides may not all be equal.