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9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    In the given figure, AD is the bisector of \[\angle A\]and AB = AC. Then \[\Delta ACD\] and \[\Delta ABD\] are congruent by which criterion?   

    A)  AAA               

    B)         SAS                            

    C)                     SSA                            

    D)         Both [b] and [c]

    Correct Answer: B

    Solution :

    In \[\Delta ACD\]and \[\Delta ABD\] AB = AC                                       (Given)\[\angle BAD=\angle CAD=\frac{1}{2}\angle A\](\[\because \] AD bisects\[\angle A\]) \[AD=AD\] \[\therefore \] \[\Delta ACD\cong \Delta ABD\]         (By SAS congruency)


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