Mathematics
In the given figure, ABCD is a parallelogram and X, Y are points on diagonal BD such that DX = BY. Prove that CXAY is a parallelogram.
Rectilinear Figures
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Answer
Given,
ABCD is a parallelogram
DX = BY
Diagonals of ∥ gm bisect each other.So,
OA = OC and OD = OB
Also,
OD - DX = OB - BY [DX = BY]
OX = OY
∴ Diagonals of quadrilateral CXAY bisect each other, CXAY is parallelogram
Hence, proved that CXAY is a parallelogram.
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