Question

verify diagonals of a rectangle are equal​

Answer 1

Answer:

ABCD is a rectangle with AC and BD as its diagonals. Hence, the diagonals of a rectangle are equal.

ABCD is a rectangle

Step by step explanation:-

Therefore, ∠A=90 degree, AD=BC

AD║BC and AB is a transversal

Therefore, ∠A+∠B= 180 degree

∴B= 90 degree

In Triangle ABD AND BAC

(i) AB=BA

(ii) ∠A=∠B

(iii) AD=BC

∴Triangle ABD ≅ BAC (SAS)

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

Hence proved