In the given figure C is the midpoint of AB,D is the midpoint of XY an – InterviewSolution

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1.	In the given figure C is the midpoint of AB,D is the midpoint of XY and AC=XD Using an Euclid 's axiom prove that AB =XY
Answer» Solution :We have AB=2AC [`therefore` C is the midpoint of AB] and XY=2xD [`therefore`D is the midpoint of xy] Now AC =XD(given)`rarr` AC=XD(given) `rarr` 2aC=2XD [by EUCLID 's Axiom 6] `rarr`AB =XY [by Euclid 's Axiom 7] HENCE AB XY

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