Triangle and triangle are constructed on opposite sides of the same line segment such…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

Triangle PQRPQR and triangle SQRSQR are constructed on opposite sides of the same line segment QRQR such that ∠PQR=∠SRQ\angle PQR = \angle SRQ and ∠PRQ=∠SQR\angle PRQ = \angle SQR. (a) Prove that △PQR≅△SQR\triangle PQR \cong \triangle SQR. (b) Write the pairs of equal sides that follow from the congruence. (c) What kind of quadrilateral is PQRSPQRS? Give a reason for your answer.

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