Question

Name the congruent triangles and state why they are congruent .... please show full solution. ​

Answer 1

Step-by-step explanation:

triangle PSR congruent to triangle PQR by

angle S = angle Q ( alternate angles of two parallel lines transected by a transversal are equal)

PR = PR (common)

PS = QR ( opposite sides of a parallelogram are equal)

Answer 2

Step-by-step explanation:

In ∆PQR and ∆PSR

PQ = SR [ opposite sides are equal in parallelogram PQRS ]

PS = QR [ opposite sides are equal in parallelogram PQRS ]

PR = PR [ comman ]

therefore, ∆PQR congruent to ∆PSR [ By SSS ]

PQ = PS [ By CPCT ]

Hence, Proved.