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ABCD is a parallelogram. X and Y are points on DC and AB such that AY = CX. Prove that XY and BD bisect each other.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

AY = CX

AB = DC

AB - AY = DC - CX

BY = DX

In ODX and OBY

4 = 3 (alternate angles)

DX = BY

2 = 1 (alternate angles)

(by ASA rule)

OB = OD, OX = OY

Answered by Expert 4th June 2014, 3:23 PM
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