Question

In the given figure, if AC = BD then prove that AB = CD

Answer 1

Answer:

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

Answer 2

For AC

For AB +BC

For BD

BC + BD

now add them AB + BC = BC + CD

now cut BC ,BC from both the sides

AB+CD

Hence Proved

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