Question

Explain why a rectangle is a convex quadrilateral.

Answer 1

Explanation of why a rectangle is a convex quadrilateral:

• The rectangle is a convex quadrilateral because of the two diagonals which lie in the interior of the rectangle.
• A convex quadrilateral is a four-sided polygon that has an interior angle that measures less than$180°$each.
• Rectangle has $4$ sides which are parallel to each other. Each angle is $90°$.
• If we join the opposite corners then the diagonals will lie in the interior and all the angles will be less than $180°$.