addisonk345267 addisonk345267

18-07-2022
Mathematics

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Given that zQ =zR and pv= PT, show that PQ = PR

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chhetrisushil161 chhetrisushil161

18-07-2022

Answer:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.

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