Question

in the adjoining figure ABCD IS A parallelogram.IF P AND Q ARE POINTS ON AD AND BC RESPECTIVELY SUCH THAT AP=AD÷3 AND CQ=BC÷3,PROVE THAT AQCP IS A PARALLELOGRAM

Answer 1

Given :- ABCD is a ||gm.

Therefore,

=> AD = BC [Opposite side of ||gm].
=> AD || BC

To Prove :- AQCP is a ||gm.

Proof:-

=> AP = 1/3 AD ------(1)

=> CQ = 1/3 BC

=> CQ = 1/3 AD ----(2) [Because, AD= BC)

From Equation (1) &(2)

=> AP = CQ

=> AP || CQ [ Because, Part of equal and || sides are also equal and ||. ]

Therefore,

=> AQCP is a ||gm



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Answer 2

Answer:

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