**Download NCERT Solutions for Class 9 Maths Chapter 7 Exercise 7.3 – Triangles**

**1. ∆ ABC and ∆ DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see Figure). If AD is extended to intersect BC at P, **

**show that **

**(i) ∆ ABD ****≅**** ∆ ACD
**

**(ii) ∆ ABP**

**≅**

**∆ ACP**

**(iii) AP bisects**

**∠**

**A as well as**

**∠**

**D.**

**(iv) AP is the perpendicular bisector of BC.**

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