Question

To construct a rhombus ABCD given AB=4 cm and $\angle ABC={120}^{\circ }$, which of the following properties of rhombus do we use?

• A. All sides of rhombus are equal.
• B. Diagonals bisect each other.
• C. Diagonals bisect each other at right angles.
• D. Opposite angles are equal.

Answer 1

The correct option is A

All sides of rhombus are equal.

We know that all sides of a rhombus are equal.

To construct the rhombus using the given information follow the given steps:

(1)Draw AB=4 cm

(2)At B construct ray BX such that $\angle ABX={120}^{\circ }$

(3)With B as centre and 4 cm radius cut BX at C.

(4)With C as centre and 4 cm radius draw an arc.

(5)With A as centre and 4 cm radius cut the previous arc at D.

(6)Join CD and AD to get rhombus ABCD.