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 90^{0} angle.
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Example of Bisector of a Line
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?
Choices:
A. 13 unitsB. 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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