Question:

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

prove that AB = CD

Updated On: Nov 16, 2023
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Solution and Explanation

From the figure, it can be observed that 

AC = AB + BC BD = BC + CD 

It is given that AC = BD AB + BC = BC + CD (1) 

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

Subtracting BC from equation (1), we obtain 

AB + BC − BC = BC + CD − BC 

AB = CD

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