P and Q are the mid points of sides BC and CD of a parallelogram ABCD respectively; the diagonals AP and AQ cut BD at the points K and L. Let us prove that, BK = KL = LD.

Given: P and Q are the mid points of sides BC and CD of a parallelogram ABCD respectively; the diagonals AP and AQ cut BD at the points K and L
To Prove: BK = KL = LD.
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