Is square a rectangle? or rectangle is a square?

Apr 23, 2016

All squares are rectangles. Not all rectangles are squares.

Explanation:

A quadrilateral is a rectangle if all four internal angles are ${90}^{\circ}$.

A quadrilateral is a square if all four internal angles are ${90}^{\circ}$ and all four sides are equal in measure.

Note that the first condition for a square is the same as the only condition for a rectangle, and thus all squares are rectangles. However, there is no condition which requires a rectangle to have four equal sides, and thus not all rectangles are squares. For example:

The above is a rectangle, as all four angles are ${90}^{\circ}$, but is not a square, as the two vertical sides are shorter than the two horizontal sides.