Question

In a quadrilateral ABCD, if DC = 7.3 cm, one of the angles is ${60}^{\circ }$ and the diagonals bisect each other at ${90}^{\circ }$, then which of the following figures can be constructed ?

• A. rectangle
• B. square
• C. trapezium
• D. rhombus

Answer 1

The correct option is D

rhombus

It is shown that one of the angles, $\angle D=$ ${60}^{\circ }$ and diagonals bisect each other at ${90}^{\circ }$.
We know that diagonals of a rhombus bisect each other at right angles.
It is not a square or a rectangle since one of the angles is ${60}^{\circ }$.
Only, a rhombus can be drawn since one angle is ${60}^{\circ }$.