Question

In the given Fig. line segment AB is bisected by line l. If anglePQA = anglePOB. Then show that Pis equidistant
from Aand B.​

Answer 1

by SAS congruence criterion

triangle pqa= triangle pqb

angle pqa= angle pqb= 90 deg

aq=qb

pq common side so pa=ab

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Answer 2

Step-by-step explanation:

In triangle PAQand triangle

PBQ

P Q = Common

AQ=BQ (Data,)

anglePQA=PQB (Data)

triagle PAQ Congruent to triangle

PBQ (SAS)

Hence PA=PB