Question

Prove that diagonals of a rectangle are equal​

Answer 1

Step-by-step explanation:

Given ABCD is a rectangle

then AC and BD are diagonals

then in triangle ABC and BCD,

angle b is common angle

BC is common side

AB = CD

so by SAS congruency,

triangle ABC is congruent to BCD

so by cpct,

AC = BD

so diagonals are equal

hence proved

Answer 2

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

ABCD is a rectangle

A = 90o, AD = BC

ADBC and AB is a transversal

A + B = 180o

B = 90o

In ABD and BAC

AB = BA

A = B

AD = BC

ABD  BAC                   (SAS)

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

Hence, the diagonals of a rectangle are equal.