S K Khanuja Solutions for Chapter: Congruence, Exercise 2: Exercise 49

In the adjoining figure, $PL\perp OA$ and $PM\perp OB$ such that $PL=PM.$ Is $∆PLO\cong ∆PMO?$ Give reasons of your answer.

In the given figure, $AB=CD, AD=BC.$ Prove that $∆ABC\cong ∆CDA$.

In the adjoining figure, $AD=DC, AB=CB.$ Is $∆ABD\cong ∆CBD?$ Give reason of your answer.

In the adjoining figure, $ABC$ is an isosceles triangle in which $AB=AC.$ $D$ is a point such that $BD=CD.$ Prove that $AD$ bisects $\angle A$ and $\angle D.$