Question

line L iS the bisector of an angle angle A and B is any point on l BP and BQ are perpendiculars from B to the arms of angle A show that triangle APB is congruent to triangle AOB .which congruence rule is followed ​

Answer 1

Given, AB is an angle bisector.

B is an perpendicular line from both arms.

Therefore, In ∆AQB & ∆APB

Q = P...........(1)

BQ = BP..........(2)

QAB = PAB..........(3)

So, by ASA congruency rule ∆APB is congruent to ∆AQB.

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