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Solve each of the following question using appropriate Euclid’s axiom: In the Fig.5.4, we have AB = BC, BX = BY. Show that AX = CY.

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To prove: AX = CY

Here it is given that

AB = BC, BX = BY

Euclid’s axiom says that if equals are subtracted from equals, the remainders are equal.

Subtract BX from AB and BY from BC.

 AB – BX = BC – BY

AX = CY

Hence proved.

 

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