Question

IF AB = CD, can you say that AC = BD? Give reasons for your answer.​

Answer 1

Answer:

Step-by-step explanation:

I hope it will help u all

Answer 2

AC = BC Hence, Proved.

GIVEN

AB = CD

TO FIND

To prove AC = BD

SOLUTION

We can simply solve the above problem as follows;

It is given,

AC = CD (Given)

Let us add a common line segment BC to LHS and RHS

Therefore,

AC + BC = CD + BC

According Euclid's axiom, if equal value is added to equal then, The new values are also equal.

We know that,

AC + BC = AC (Equation 1)

and,

CD + BC = BC (Equation 2)

Form equation 1 and 2 we get,

AC = BC Hence, Proved.

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