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

  • question_answer
    In the given figure, if \[AB=AD\]and \[CB=CD,\]then                        

    A)  \[\Delta ABC\cong \Delta ADC\]

    B)  \[\Delta BCA=\Delta DCA\]

    C)  \[\Delta ADC=\Delta ABC\]

    D)  All of these          

    Correct Answer: D

    Solution :

    In \[\Delta ABC\] and \[\Delta ADC,\] we have AB = AD (given) CB = CD (given) AC = AC (common)                    \[\therefore \] \[\Delta ABC\cong \Delta ADC\]  (By SSS) \[\therefore \] \[\angle ADC=\angle ABC\] and \[\angle BCA=\angle DCA\](By CPCT)


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