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Rajan@2021
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In the figure given below, ∠P=∠RTS. Prove that △RPQ~△RTS.

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In this question we have been asked to prove that the triangles are similar from the given figure

ML Aggarwal Avichal Publication, Class 10, chapter 13, similarity, question no 9a

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  1. In triangles RPQ and RTS, we have

    RPQ=RTS           [Given]

    PRQ=TRS           [Each equal to R]

    Therefore, by AA-criterion of similarity, we have

    RPQRTS.             [Hence proved]

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