Question

Complete the following proof.
Prove: The diagonals of a rectangle are equal.

Answer 1

Here

ABCD is a rectangle with AC and BD as its diagonals .

ABCD is a rectangle

so, angle A = 90° , AB=BC

AB||BC and AB is transversal

so, angle A + angle B = 180°

= angle B =90°

In ∆ABD and ∆BAC

AB=BA

angle A = angle B

AD=BC

so, ∆ABD ≈ ∆BAC (by SAS)

BD=AC (by C.P.C.T)

Hence, the diagonals of a rectangle are equal.