In triangle PQR and triangle SQR are both isosceles triangle on a common base QR such that P and S lie on the same side of QR- Are triangles PSQ and PSR congruent - Which condition do you use -

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Let triangle SQR and PQR are the given triangles such that -PR - PQ- and -SR - SQ-In triangle -PSR- and -PSQ-PR - PQ-SR - SQ-PS - PS-therefore- -triangle PSR -cong -triangle PSQ- -SSS criterionYes- both triangles -PSR- and -PSQ- are congruent with the SSS criterion-

In $$\triangle PQR$$ and $$\triangle SQR$$ are both isosceles triangle on a common base $$QR$$ such that $$P$$ and $$S$$ lie on the same side of $$QR$$. Are triangles $$PSQ$$ and $$PSR$$ congruent ? Which condition do you use ?

Let triangle SQR and PQR are the given triangles such that $$PR = PQ$$ and $$SR = SQ$$In triangle $$PSR$$ and $$PSQ$$,$$PR = PQ$$$$SR = SQ$$$$PS = PS$$$$\therefore$$ $$\triangle PSR \cong \triangle PSQ$$ ...SSS criterionYes, both triangles $$PSR$$ and $$PSQ$$ are congruent with the SSS criterion.