Question

If the diagonals of a quadrilateral bisect each other at ${90}^{\circ }$, then the quadrilateral is a

• A. Square
• B. Rectangle
• C. Rhombus
• D. Parallelogram

Answer 1

The correct option is C

Rhombus

In case of rectangle and parallelogram the diagonals bisect each other but not at ${90}^{\circ }$

In case of a rhombus and square, the diagonals bisect each other at ${90}^{\circ }$.

As we do not know the measure of the interior angle, we conclude the required quadrilateral is a rhombus.

Note: All squares are rhombuses and all rhombuses are not squares.