Mathematics
Assertion (A): If PQ = PR, ΔPQS ≅ ΔPRT
Reason (R): PQ = PR, ∠P = ∠P and ∠Q = ∠R
A is true, but R is false.
A is false, but R is true.
Both A and R are true and R is the correct reason for A.
Both A and R are true and R is the incorrect reason for A.
Triangles
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Answer
In ΔPQS and ΔPRT,
⇒ ∠QPS = ∠RPT (Common)
⇒ ∠PQS = ∠PRT (Given)
⇒ PQ = PR (Given)
∴ ΔPQS ≅ ΔPRT (By ASA congruency criterion)
∴ Both A and R are true, and R is the correct reason for A.
Hence, option 3 is the correct option.
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