9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    \[\Delta ABC\cong \Delta PQR\], if \[AB=5\,\,cm,\] \[\angle B={{40}^{o}}\]and\[\angle A={{80}^{o}}\], which of the following is true?

    A) \[QP=5\,\,cm,\,\,\angle P={{60}^{o}}\]

    B)        \[QP=5\,\,cm,\,\,\angle R={{60}^{o}}\]

    C)        \[QP=5\,\,cm,\,\,\angle R={{60}^{o}}\]

    D)        \[QP=5\,\,cm,\,\,\angle Q={{40}^{o}}\]

    Correct Answer: D

    Solution :

    \[\Delta ABC=\Delta PQR\](given) \[\Rightarrow \]\[\angle A=\angle P;\angle B=\angle Q;\angle C=\angle R\] and \[AB=PQ;BC=QR;AC=PR\] Since \[AB=5\,cm.\] \[PQ=5\,cm,\]and \[\angle B=\angle Q={{40}^{o}}.\]


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