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

  • question_answer
    In the given figure, if \[AD=BC\] and \[AD||BC,\]which of the following is true?  

    A)  \[AB=AD\]    

    B)       \[AB=DC\]  

    C)  \[BC=CD\]      

    D)       \[AC=AD\]

    Correct Answer: B

    Solution :

     In the given figure, \[AD=BC,\,\,AC=AC,\] and \[\angle DAC=\angle BCA\] (\[\because \]\[AD||BC\] alternate angles) By S.A.S. theorem \[\Delta ABC\cong \Delta CDA\] So,\[AB=DC\]. (Corresponding parts of congruent triangles.)


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