Question

A parallelogram ABCD is constructed with sides BC = 6 cm, AB = 4 cm, and ∠ADC = 90°. Then, ABCD is a:

• A. trapezium
• B. square
• C. rectangle
• D. rhombus

Answer 1

The correct option is C rectangle

• A parallelogram can be a square, a rectangle or a rhombus but never a trapezium, since a parallelogram has two pairs of parallel sides but a trapezium has only one.
• If one of the angles of a parallelogram is ${90}^{\circ }$, then the remaining angles are also ${90}^{\circ }$(By the property of parallelogram).
• The sides of the parallelogram ABCD are not equal. Hence, ABCD cannot be a square or a rhombus. So, ABCD is a rectangle.