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. Trapezium
• B. Rhombus
• C. Square
• D. Rectangle

Answer 1

The correct option is B 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 ${60}^{\circ }$.