P, Q and R are the mid-points of AB, AC and BC respectively and AB = AC. Prove that:(i) ΔPBR and ΔQRC are congruent.(ii) ∠APR = ∠AQR.(iii) AR and PQ bisect each other at right angles.

In the diagram, P, Q and R are the mid-points of AB, AC and BC respectively and AB = AC. Prove that:(i) ΔPBR and ΔQRC are congruent.(ii) ∠APR = ∠AQR.(iii) AR and PQ bisect each other at right angles.

In the given figure, AD = AQ and AB = AC, prove that (i) DC = QB (ii) ∠ACD = ∠ABQ