A student asserts, “If all four sides of a quadrilateral are equal

MATHEMATICS · Single correct · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

A student asserts, “If all four sides of a quadrilateral are equal, then each interior angle must be

90^{\circ}

.” Which of the following quadrilaterals disproves this assertion? (a) A rectangle with adjacent sides

4\,\text{cm}

and

6\,\text{cm}

. (b) A rhombus with side

5\,\text{cm}

and one interior angle

60^{\circ}

. (c) A square with side

4\,\text{cm}

. (d) A kite with sides

5\,\text{cm},\,5\,\text{cm},\,4\,\text{cm},\,4\,\text{cm}