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thus its proved thatpxqy is a llgram
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anshu253:
are u jaydeep mahapatra
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Given :-
ABCD is A parallelogram
Q is mid point of DC
P is mid point of AB
To prove :-
PSQR is a parallelogram
Solution :-
Since ABCD is a parallelogram
AB || DC & AB = DC [ Opposite side of parallelogram are equal and parallel ]
Therefore, 1/2 AB = 1/2 DC [ Q and P are mid point DC and AB ]
We get, AP = QC and AP || QC
APCQ is a parallelogram
AQ || PC or PS || RQ
AB || DC or BP || DQ
AB = DC
1/2 AB = 1/2 DC
Therefore, BP = QD & BP || QD
PBQD is a parallelogram
Since, PD || BQ or PS || QR
SQ || RP & PS || QR
We get,
PSQR Is a parallelogram
Hence proved !
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