10th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In the given figure, \[PQ\bot QR,\text{ }KL\bot PR\] and \[MN\bot QR\]. Which of the following is correct?               

    A)  \[\Delta \,PLK\sim \Delta \,MRN\]

    B)  \[\angle y=\angle w\]

    C)  \[\Delta \,PKL\sim \Delta MRN\]

    D)  \[\angle x=\angle z\]

    Correct Answer: C

    Solution :

    (c): Look at \[\Delta \,PKL\]and MRN; Two sets of corresponding \[\angle \] are equal; \[\angle z=\angle y\]and one\[\angle \] is right \[\angle \] in both \[\Delta \]s. \[\therefore \] \[\Delta \,PKL\tilde{\ }\Delta \,MRN\] This problem further highlight order of letters as \[\Delta \,PLK\tilde{\ }\Delta \,MRN\]


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