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°.