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Q.

In the figure, it is given that AD = BC. By which Euclid’s axiom it can be proved that AC = BD?

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a

Axiom 5

b

Axiom 3

c

Axiom 2

d

Axiom 1

answer is A.

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Detailed Solution

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Euclid's axiom 3 states, “If equals are subtracted from equals, the remainders are equal.”
To prove that AC = BD, we can use this axiom as follows:

We have AD = BC
⇒ AD – CD = BC – CD
⇒ AC = BD

Therefore, using Euclid's axiom 3, we can prove that AC = BD.
 

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