Question

Which property of a rectangle do we use to construct a rectangle ABCD with each diagonal AC= 6.2 cm and one of the sides 4.8 cm.

• A. Diagonals bisect each other.
• B. Both (A) and (B)
• C. Opposite sides are equal.
• D. Each angle of a rectangle is ${90}^{\circ }$.

Answer 1

The correct option is B Both (A) and (B)

(1) Draw AB=4.8 cm
(2) At B construct $ABX={90}^{\circ }$
(3) With A as centre and radius=6.2cm. Cut BX at C.
(4) Taking C as centre and radius=4.8cm. Cut an arc.
(5) With A as centre and radius=BC. Cut the previous arc at D.
(6) Join AD and CD.