NCERT Exercise 8.1 Q5 - Quadrilaterals

Question: In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see Fig. 8.12). Show (i) △APD ≅ △CQB (ii) AP = CQ (iii) △AQB ≅ △CPD (iv) AQ = CP (v) APCQ is a parallelogram.

Answer: (i) △APD ≅ △CQB. (ii) AP = CQ. (iii) △AQB ≅ △CPD. (iv) AQ = CP. (v) APCQ is a parallelogram.

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