in the given figure, triangle PQR is an isosceles triangle such that PQ=PR . PS is the angle bisector of angle QPR. prove that
a) triangle QPS. is congruent to triangle RPS
b) angle PSQ= angle PSR
( PLEASE DRAW FIGURE)
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Step-by-step explanation:
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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