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
We have
AB=2AC [ C is the midpoint of AB]
and Xy=2xD [ D is the midpoint of xy]
Now AC =XD(given) AC=XD(given)
2aC=2XD [by Euclid 's Axiom 6]
AB =XY [by Euclid 's Axiom 7]
Hence AB XY
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