# 5.  Line $\small l$ is the bisector of an angle $\small \angle A$ and B is any point on $\small l$. $\small BP$ and $\small BQ$  are perpendiculars from $\small B$ to the arms of $\small \angle A$ (see Fig.). Show that:  (i) $\small \Delta APB\cong \Delta AQB$

In the given figure consider $\small \Delta APB$   and   $\small \Delta AQB$,

(i)      $\angle P\ =\ \angle Q$                      (Right angle)

(ii)      $\angle BAP\ =\ \angle BAQ$       (Since it is given that I is bisector)

(iii)     Side AB is common in both the triangle.

Thus AAS congruence, we can write :

$\small \Delta APB\cong \Delta AQB$

## Related Chapters

### Preparation Products

##### JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
##### Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
##### Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
##### Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-