The given figure ABCD is parallelogram. AP is I to DB and CQ is I DB Prove that:
∆APD ∆CQB and AP = CQ.
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∆ABD and ∆BCD
/_APB=90°
/_CQD=90°
therefore /_APB=/_CQD. .......................(1)
AB=DC (common side).............(2)
AD=BC (common side)...............(3)
∆ABD≈∆BCD (by SSA construction)
therefore AP = CQ (C.P.C.T.)
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