Question

To construct parallelogram ABCD given AB=6 cm, AD =3 cm and $\angle DAB={60}^{\circ }$, which of the properties of a parallelogram do we use?

• A. opposite angles are equal
• B. Diagonals bisect each other
• C. Diagonals are not equal
• D. Opposite sides are equal

Answer 1

The correct option is D

Opposite sides are equal

To construct parallelogram ABCD using the given information follow these steps:

(1)Draw AB=6 cm

(2)At A draw ray AX such that $\angle BAX={60}^{\circ }.$

(3)With A as centre and 3 cm radius cut AX at D.

(4)With D as centre and 6 cm radius draw an arc.

(5)with B as centre and 3 cm radius cut the previous arc at C.

(6)Join BC and DC

(7)We have drawn the parallelogram using the property opposite sides of a parallelogram are equal.