In the figure ABCD and DXBY are two parallelograms with BD as the common diagonal. Prove that AYCX is also a parallelogram.

ABCD and APCR are the two parallelograms and AC is the common diagonal. Prove that PBRD is a parallelogram.

In the fig. ABCD is a parallelogram and X,Y and Z the points on diagonal BD such that DX=BD prove that CXAY is a parallelogram.

In a parallelogram ABCD, X and Y are points on diagonal BD such that DX=BY. Prove that AXCY is a parallelogram.

In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC bot BD, then angle BEC =

In the given figure, ABCD is a parallelogram in which AN and CP are perpendiculars on diagonal BD. Prove that : (i) DeltaADN =DeltaCBP (ii) AN=CP

In the given figure, ABCD is a parallelogram in which AN and CP are perpendiculars on diagonal BD. Prove that : (i) DeltaADN =DeltaCBP (ii) AN=CP

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

In figure, ABCD and AEFD are two parallelograms. Prove that ar (DeltaPEA) = ar (DeltaQFD) .

Two segments AC and BD bisect each other at O. Prove that ABCD is a parallelogram.

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BY. Prove that squareAXCY is a parallelogram.