Bisector of a Line

by Shalem.
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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° angle.

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

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

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.

Related Terms for Bisector of a Line

  • Bisector
  • Line
  • Line Segment
  • Midpoint

Additional Links for Bisector of a Line

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