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In parallelogram ABCD, two points P and Q are taken on diagonal BD such that `D P" "=" "B Q` . Show that: (i) `DeltaA P D~=" "DeltaC Q B` (ii) `A P" "=" "C Q` (iii) `DeltaA B C` (iv) `A Q" "=" "C P` (v) APCQ is a parallelogram

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