Mathematics
The given figure shows PQ = PR and ∠Q = ∠R
Prove that: △PQS ≡ △PRT.
Triangles
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Answer
Given: PQ = PR and ∠Q = ∠R
To prove: △PQS ≡ △PRT.
Proof: In △PQS and △PRT,
PQ = PR (Given)
∠Q = ∠R (Given)
∠QPS = ∠RPT (Common Angle)
By, ASA congruency criterion,
△PQS ≅ △PRT
Hence, △PQS ≅ △PRT.
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