Q. 14.1( 42 Votes )

In figure 5.22, 􀀍ABCD is a parallelogram, P and Q are midpoints of side AB and DC respectively, then prove 􀀍APCQ is a parallelogram.


Answer :

Given AB to DC and AB = DC as ABCD is gram.

AP CQ (parts of sides are ) & 1/2 AB = 1/2 DC


AP = QC (P and Q are midpoint of AB and DC respectively)


AP = PB and DQ = QC


Hence APCQ is a parallelogram as the pair of opposite sides is = and .




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