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 angles is less than 180°.

Explanation:

A convex quadrilateral is a four-sided polygon with each of its interior angles being less than 180° and whose diagonals lie inside the closed shape. The value of interior angles in a convex quadrilateral must be acute, right, or obtuse.

A rectangle is a four-sided polygon with the value of each of its interior angles of 90° which is less than 180°, and both the diagonals lie inside the rectangle. Thus a rectangle is a convex quadrilateral.

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