Question

In Fig(i), AB || CD and in Fig(ii) shows a paralellogram with two adjacent sides equal and one angle ${90}^{\circ }$.

Identify the two figures.

• A. Fig(i) is a parallelogram and fig(ii) is a rhombus
• B. Fig(i) is a trapezium and fig(ii) is a rhombus
• C. Fig(i) is a parallelogram and fig(ii) is a square
• D. Fig(i) is a trapezium and fig(ii) is a square

Answer 1

The correct option is D

Fig(i) is a trapezium and fig(ii) is a square

In fig(i), one pair of opposite sides are unequal and parallel. Therefore, it is a trapezium.

In fig(ii), one angle is ${90}^{\circ }$ and adjacent sides are equal. That means that other three angles also will be ${90}^{\circ }$. Therefore, it is a square.