Question

in the figure TS||PQ and TS=PQ. prove that the triangle PQRand STR are congruent

Answer 1

Hi friend,

Here is your answer,
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Given : TS = PQ , TS║ QT
To prove : ΔPQR is congruent to ΔTRS
Proof : 
                         TS = PQ                    {Given}
                    ∠TSR = ∠RPQ               {TS║QT , alternate angles}
                    ∠STR = ∠RQP               {TS║QT , alternate angles}
                   ΔPQR ≡ ΔTSR                 {By ASA property}

                                                                            Hence proved.

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Answer 2

Answer:

<Q=<T

∆PQR=∆RST HENCE PROVED

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