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In Figure, A B C D is a parallelogram an...

In Figure, `A B C D` is a parallelogram and `X\ a n d\ Y` are points on the diagonal `B D` such that `D X=B Y` . Prove that `A X C Y` is a parallelogram (ii) `A X=C Y ,\ A Y=C X` (iii) ` A Y B\ ~= C X D` (iv) ` A X D~=\ C Y B`

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