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9th Class Mathematics Quadrilaterals Question Bank Quadrilaterals

  • question_answer
    In the given figure, \[p,\,\,q\] and \[r\] are three parallel lines. \[l\] and \[m\] are two transversals, such that \[DE=1.5\,\,cm\]\[,\] \[EF=3\,\,cm\]. Find \[BC\] if\[AB=2.5\,\,cm\].

    A) \[4\,\,cm\]      

    B)                                \[5.5\,\,cm\]                  

    C)        \[5\,\,cm\]                     

    D)        \[6\,\,cm\]

    Correct Answer: C

    Solution :

    Refer question figure, \[p//q//r\Rightarrow p//r\] \[\Rightarrow \]\[\frac{AB}{BC}=\frac{DE}{EF}\Rightarrow \frac{2.5}{BC}=\frac{1.5}{3}\] \[\Rightarrow \]\[BC=\frac{2.5\times 3}{1.5}\Rightarrow BC=5\,cm\]


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