Question

Explain why a rectangle is a convex quadrilateral.
Answer: Both of its diagonals lie at its exterior.

• A. True
• B. False

Answer 1

The correct option is B False

A rectangle has the following characteristics:-

(i) It has 4 sides, the opposite sides are equal & parallel to each other.

(ii) Each angle $={90}^o$. So, under the above characteristics, if we join the opposite corners, the diagonals will lie entirely in the interior of the rectangle.

Moreover, all the angles are less than ${180}^o$.

These are the characteristics of convex polygons.

$\therefore$ A rectangle is a convex polygon.