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Step-by-step explanation:
Given: ABCD is a paralleogram
Diagonal BD is the transvarsal
Hence, Angle ABQ = CDP (ALTERNATE ANGLES).
Since ABCD is a paralleogram,
Hence , AB = DC
NOW in Triangle ABQ and CDP
1.AB=DC
2.ABQ=CDP
3.BQ=PD
HENCE ABQ is congruent to CDP
BY C.P.C.T, AQ =CP
Similarly, Triangle ADP is congruent to BQC
BY C.P.C.T , AP = QC
NOW SINCE APCQ IS A QUADRILATERAL WITH OPPOSITE SIDES EQUAL,
HENCE APCQ IS A PARALLELOGRAM
HENCE PROVED
HOPE IT HELPS AND KEEP SMILING IN THIS TOUGH TIMES :)
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