10th Class Mathematics Triangles Question Bank MCQs - Triangles

  • question_answer
     
    Two similar triangles are given in the figure the similarity criterion used is

    A) SAS

    B) SSS

    C) AAA

    D) None of these

    Correct Answer: A

    Solution :

    Here, \[\frac{AB}{EF}=\frac{6}{4.5}=\frac{60}{45}=\frac{4}{3},\,\frac{BC}{DE}=\frac{4}{3}\]
     \[\Rightarrow \,\,\frac{AB}{EF}=\frac{BC}{DE}\] and \[\angle ABC=\angle FED\] [given]
    So,  \[\Delta ABC\tilde{\ }\Delta FED\]
                [by SAS similarity criterion]


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