Proof that in very Short Basic proportionality theorem
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If P and Q are points on AB and AC such that
AP = PB = 1/2 (AB) and
AQ = QC = 1/2 (AC), then
PQ || BC.
Also, the converse of mid-point theorem is also true which states that the line drawn through the mid-point ofa side of a triangle which is parallel to another side, bisects the third side of thetriangle.
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