Q9 of 56 Page 78

Points P and Q have been taken on opposite sides AB and CD, respectively of a parallelogram ABCD such that AP = CQ (Fig. 8.6). Show that AC and PQ bisect each other.

Joining AQ and PC.

Since ABCD is a parallelogram, AB||DC and AP||QC.


Given, AP = CQ.


APCQ is a parallelogram.


We know, diagonals of a parallelogram bisect each other.


Hence AC and PQ bisect each other.


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