Using Theorem 6.1, prove that a line drawn throughthe mid-point of one side of a triangle parallel toanother side bisects the third side.

 Consider the given figure in which PQ is a line segment drawn through the mid-point P of line AB, such that PQ is parallel to BC

Now, using basic proportionality theorem, we get

      (P is the Mid-point of AB, AP = PB)

Hence,

AQ = QC

Or, Q is the mid-point of AC