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  5. Congruence of Triangles

7th Class Mathematics Congruence of Triangles Question Bank Congruence of Triangles

  • question_answer
    In the given figure \[PQ||RS\] What is the value of \[(PR+QS)\]?

    A)  \[21\,cm\]                   

    B)  \[28\,cm\]        

    C)  \[25\,cm\]          

    D)  \[31\,cm\]

    Correct Answer: C

    Solution :

    (c): \[PQ||RS\Rightarrow \angle QPO=\angle SRO\] and \[\angle OQP=\angle OSR;\] thus, \[\Delta \,OQP\cong \Delta OSR\] \[OS=7\,\,cm\] and \[PO=5.5\text{ }cm\] \[\therefore \,\,\,\,QS=7+7=14\,cm;\] \[PR=5.5+5.5=11\text{ }cm\] \[\therefore \text{ }PR+QS=11+14=25cm\]            


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