In the adjoining figure, ABCD is a parallelogram. If P and Q are point

1.	In the adjoining figure, ABCD is a parallelogram. If P and Q are points on AD and BC respectively such that AP=13AD and CQ=13BC, prove that AQCP is a parallelogram.
Answer» In the adjoining figure, $A B C D$ is a parallelogram. If $P$ and $Q$ are points on $A D$ and $B C$ respectively such that $A P = \frac{1}{3} A D$ and $C Q = \frac{1}{3} B C$ , prove that $A Q C P$ is a parallelogram.

In the adjoining figure, ABCD is a parallelogram. If P and Q are points on AD and BC respectively such that AP=13AD and CQ=13BC, prove that AQCP is a parallelogram.

Answer»

In the adjoining figure, $A B C D$ is a parallelogram. If $P$ and $Q$ are points on $A D$ and $B C$ respectively such that $A P = \frac{1}{3} A D$ and $C Q = \frac{1}{3} B C$ , prove that $A Q C P$ is a parallelogram.

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In the adjoining figure, ABCD is a parallelogram. If P and Q are points on AD and BC respectively such that AP=13AD and CQ=13BC, prove that AQCP is a parallelogram.

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