in a parallelogram ABCD two points p and q are the take on diagonal BD such that DP is equal to BQ show that triangle APD is congruent to triangle cqb. second ap is equal to CQ. third triangle A Q B is congruent to triangle CPD. 4th a q is equal CP. 5th APCQ is a parallelogram
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Step-by-step explanation:in triangle apd and cqd
dp=bq
ad=bc(opp. sides of a parallelogram)
angle pda=angle qbc (alternate interior angle)
by sas congruence apd≅cqb
by cpct ap=cq
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