Q. 54.4( 394 Votes )

Line l is the bis

Answer :


Given: l is the bisector of an A, BP and BQ are perpendiculars


(i)
To Prove: 
Proof:
In

P = Q (Right angles)

BAP = BAQ (l is the bisector)

AB = AB (Common)

Congruent Triangles - Two angles and an opposite side (AAS) Definition: Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.

Therefore,

By AAS congruence,

Hence, Proved.

(ii) BP = BQ (By c.p.c.t)

Therefore,

B is equidistant from the arms of A

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