Question

Plzz answer with full steps

Answer 1

to prove APCQ

Proof ∆ DPC and ∆AQB
DP = QB
AB =DC( opp. side of llgm)
APQ = CDP( alternate angle)
by SAS criteria they are congruent
by C.P.C.T PC =AQ

similarly APD and BQC can be congruent
BY C.P.C.T AP = QC
hence,APCQ is llgm whose side are parallel