The two diagonals are equal in a :A. Parallelogram B. Rhombus C. Rec

1.	The two diagonals are equal in a :A. Parallelogram B. Rhombus C. Rectangle D. Trapezium
Answer» Let ABCD is a rectangle AC and BD are the diagonals of rectangle In ΔABC and ΔBCD, we have AB = CD (Opposite sides of rectangle are equal) ∠ABC = ∠BCD (Each equal to 90°) BC = BC (Common) Therefore, ΔABC ≅ ΔBCD (By SAS congruence criterion) AC = BD (c.p.c.t) Hence, The diagonals of a rectangle are equal.

The two diagonals are equal in a :A. Parallelogram B. Rhombus C. Rectangle D. Trapezium

Answer»

Let ABCD is a rectangle

AC and BD are the diagonals of rectangle

In ΔABC and ΔBCD, we have

AB = CD

(Opposite sides of rectangle are equal)

∠ABC = ∠BCD

(Each equal to 90°)

BC = BC

(Common)

Therefore,

ΔABC ≅ ΔBCD

(By SAS congruence criterion)

AC = BD (c.p.c.t)

Hence,

The diagonals of a rectangle are equal.