1.

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see the given figure).Show that:(i) ΔAPD ≅ ΔCQB(ii) AP = CQ(iii) ΔAQB ≅ ΔCPD(iv) AQ = CP(v) APCQ is a parallelogram

Answer»

In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see the given figure).







Show that:



(i) ΔAPD ≅ ΔCQB



(ii) AP = CQ



(iii) ΔAQB ≅ ΔCPD



(iv) AQ = CP



(v) APCQ is a parallelogram



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