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Step-by-step explanation:
Given -
PQRS is a parallelogram and A and B are 2 points on RQ and SP respectively such that AQ=1/3 QR , BS=1/3 SP
RTP-
QASB is a parallelogram
Proof -
PQRS is a parallelogram
which implies
PS=QR ( Opposite sides of a parallelogram are equal )
Therefore
1/3 QR=1/3 SP
Therefore
AQ=BS --(1)
Also PS//QR
which implies AQ//BS ( Parts of parallel lines )-(2)
Thus
From (1) and (2)
QASB is a parallelogram
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