10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    Select the correct statement from the statements given below:

    A) \[\Delta ABC\tilde{\ }\Delta DEF\] by SSS similarity criterion

    B) \[\Delta ABC\tilde{\ }\Delta DEF\] by SAS similarity criterion

    C) \[\Delta ABC\tilde{\ }\Delta EDF\] by AA similarity criterion

    D) \[\Delta ABC\tilde{\ }\Delta DEF\] by AA similarity criterion

    Correct Answer: B

    Solution :

    It is given that \[DE||AB\]and \[EF||BC.\]
    Therefore, \[\angle BAC=\angle EDF;\] \[\angle BCA\,\,\,\angle EFD\]
    (Corresponding angles)
    Hence, \[\Delta ABC\tilde{\ }DEF\]by AA similarity criterion.
    So, option [b] is correct.

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