Question

Abcd is a parrallelogram and x and y points on the diagonal B D such that DX=BY. Prove that. 1.Ax=cy
2. Triangle AYB congruent triangle CXd
3.Triangle axd congruent triangle cyb
4.AY=CX

Answer 1

Answer:

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Answer 2

1. In ∆CBY and ∆ADX

CB = AD (Opp sides of //gm)

Angle CBY = Angle ADX ( Opp angles of //gm bisected by diagonal BD)

BY = DX (Given)

Therefore, ∆CBY is congruent to ∆ADX

CY = AX ( corresponding sides of corresponding angles)