# Solution - Another Condition for a Quadrilateral to Be a Parallelogram

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ConceptAnother Condition for a Quadrilateral to Be a Parallelogram

#### Question

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

#### Solution

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