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In parallelogram ABCD two points P and Q...

In parallelogram ABCD two points P and Q are taken on diagonal BD such that DP = BQ (set figure). Show that:
`{:((i)DeltaAPD~=CQB,(ii)AP=CQ),((iii)DeltaAQB~=DeltaCPD,(iv)AQ=CP),((v)APCQ "is a parallelogram.",):}` ltbegt

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