Question

if AC =BD then prove that AB=CD

Answer 1

if AC = BD, then prove that AB = CD

6. In Fig. 5.10, if AC = BD, then prove that AB = CD.

From the above figure we get that

AC = AB + BC

BD = BC + CD

It is given that AC = BD

Plug the value of AC we get

AB + BC = BC + CD … (1)

According to Euclid’s axiom,when equals are subtracted from equals, the remainders

are also equal.

Subtracting BC from both side in equation (1), we get

AB + BC − BC = BC + CD − BC

AB = CD

Hence proved