Mathematics
In the adjoining diagram, ST is not parallel to PQ. The necessary and sufficient conditions for △ PQR ~ △ TSR is :
∠PQR = ∠STR
∠QPR = ∠TSR
∠PQR = ∠TSR
∠PRQ = ∠RST
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Answer
Given,
△ PQR ~ △ TSR.
From figure,
⇒ ∠PRQ = ∠SRT (Common angle)
The order of vertices of two similar triangles are written in such a way that the corresponding vertices occupy the same position.
∴ ∠PQR = ∠TSR
∴ △ PQR ~ △ TSR (By A.A. axiom)
Hence, Option 3 is the correct option.
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