State True or False. S and T are point on sides PR and QR of ∆PQR such that ∠P = ∠RTS. Then, ∆RPQ ∼ ∆RTS.
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In ∆RPQ and ∆RST, ∠RTS = ∠QPS (Given) ∠R = ∠R (Common angle) Then, ∠Q = ∠RST ∴ ∆RPQ ∼ ∆RTS (By AAA similarity criterion)
The sides PQ, PR of ΔPQR are equal, and S, T are points on PR, PQ such that ∠PSQ and ∠PTR are right angles. Hence, ΔPTR≅ΔPSQ
State whether the above statement is true or false.