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ABCD and ABXY are two parallelograms on the same base AB on opposite sides of it.Prove that XCDY is alsoa parallelogram.

Asked by Akshat R(student) , on 30/12/13

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Join YD and AC.
Given ABCD is a parallelogram.
So, AB=CD and AB||CD. ...(1)
Also, ABXY is a parallelogram.
AB=XY and AB||XY ..(2)

From (1) and (2),
CD=XY and CD||XY (transitive property).
So, XCDY is a parallelogram.

Posted by S. Usha Rani(MeritNation Expert)on 3/1/14

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