# Explain Why a Rectangle Is a Convex Quadrilateral

## Question: Explain why a rectangle is a convex quadrilateral.

A quadrilateral is a four sided shape with four sides. A rectangle is a quadrilateral with all interior angles equal to 90° and opposite sides are parallel and equal.

## Answer: A rectangle is a convex quadrilateral as the value of each of its interior angle is less than 180°.

## Explanation:

A conver quadrilateral is a four sided polygon with each of its interior angle being less than 180°. Therefore, value of interior angles in a convex quadrilateral must be acute, right or obtuse.

Since a rectangle is a four sided polygon with the value of each of its interior angle 90° which is less than 180°, therefore, a rectangle is a convex quadrilateral.

### Therefore, a rectangle is a convex quadrilateral as the value of each of its interior angle is less than 180°.

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