Parallelogram has diagonal drawn

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

Parallelogram PQRSPQRS has diagonal PRPR drawn. (i) A student writes the congruence statement △PQR≅△SRP\triangle PQR \cong \triangle SRP. Identify the pair of corresponding parts the student has matched in this statement. (ii) Explain, with reasons based on the properties of a parallelogram, whether the student’s claim of congruence is valid. (iii) If the claim is valid, name the congruence criterion satisfied. If it is not valid, write the correct congruence statement and justify your answer.

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