BISECTOR OF A LINE

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Definition of Bisector of a Line

A line that cuts another line segment into two equal parts is called the Bisector of that line segment.

More About Bisector of a Line

    The right bisector of a line segment is a line that intersects the line segment at its midpoint at 900 angle.

Video Examples: Bisector of a Line


Example of Bisector of a Line

      Example of Bisector of a Line
    In the above figure, line l is the bisector of at M.

Solved Example on Bisector of a Line

Ques: What is the length of AB, if line l is the segment bisector and AO = 6 units?

    Definition of Bisector of a Line
    Choices:
    A. 13 units
    B. 6 units
    C. 12 units
    D. 14 units
    Correct Answer: C

Solution:

    Step 1: Line l divides AB into two equal parts and O is the midpoint of AB
    [Since a segment bisector is a line passing through the midpoint of the segment.]
    Step 2: AB = 2(AO) = 2(6) units = 12 units [Substitute AO = 6.]
    Step 3: The length of AB is 12 units.

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