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9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In the given figure, if PA = PD and PB = PC. Then \[\Delta PAB\]is congruent to ___ .

    A) \[\Delta PDC\]                           

    B)        \[\Delta PCD\]               

    C)        \[\Delta CPD\]                           

    D)        \[\Delta DPC\]  

    Correct Answer: A

    Solution :

    \[\angle CPO=\angle BPA\]          (vertically opposite angles) \[CP=BP\]                                 (given) \[PD=PA\]                                 (given) \[\therefore \]\[\Delta PAB\cong \Delta PDC\]          (SAS congruency)


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