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  5. Congruence of Triangles

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

  • question_answer
    Direction: In the given figure, \[AD=CD\] and \[AB=CB\]. Which of the following is the correct conclusion?

    A)  \[\Delta ABC\] and \[\Delta \,CBD\] are isosceles triangles.

    B)  BD bisects \[\angle ADC\]  

    C)  BD bisects \[\angle BAD\]

    D)  \[\Delta ABC\] and \[\Delta CBD\] are equilateral triangles.

    Correct Answer: B

    Solution :

       Since \[\Delta ABD\] and \[\Delta CBD\] are congruent, \[\angle ADB=\angle CDB\] (Corresponding parts of congruent triangles). \[\Rightarrow \] BD bisects \[\angle ADC\]


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