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6th Class Mathematics Practical Geometry Question Bank Practical Geometry

  • question_answer
    The point M on \[\overleftrightarrow{\text{AB}}\] is such that\[\overline{\text{AM}}\text{ = }\overline{\text{MB}}\]. Which of the following is a false statement?

    A) M is the mid-point of \[\overleftrightarrow{\text{AB}}\].

    B) \[\overline{\text{AM}}\]\[\text{=}\frac{1}{2}\overleftrightarrow{\text{AB}}\]

    C) \[\overline{\text{MB}}=2\overleftrightarrow{\text{AB}}\]  

    D) The point M bisects AB.

    Correct Answer: C

    Solution :

    M is a point on \[\overleftrightarrow{\text{AB}}\]such that \[\overline{\text{AM}}\text{ = }\overline{\text{MB}}\] . Then M is the midpoint of \[\overleftrightarrow{\text{AB}}\], \[\text{AM=}\frac{1}{2}\overleftrightarrow{\text{AB}}\] and \[\overrightarrow{\text{M}}\] bisects \[\overleftrightarrow{\text{AB}}\] are true. Hence the only false statement is \[\overline{\text{MB}}\]\[\text{=2}\overleftrightarrow{\text{AB}}\].


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