Question

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 and diagonals of trapezium may or may not bisect each other.
• 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 ${60}^{\circ }$ and the diagonals must bisect each other.