SEGMENT BISECTOR
Definition Of Segment Bisector
A Segment Bisector is a line or a ray or a segment that divides a line segment into two equal parts.
More About Segment Bisector
A segment bisector always passes through the midpoint of a line segment.
If a segment bisector crosses the segment at 900, then it is called as perpendicular bisector of the segment
Example of Segment Bisector
In the given figure, the line segment DE is the bisector of the segment AC as it intersects the line segment AC at its midpoint B
Video Examples: Segment Bisector
Solved Example on Segment Bisector
Ques: 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.
[As the segment bisector passes through the midpoint of the segment.]
Step 2: AB = 2(AO) = 2(6) = 12 [Substitute AO = 6.]
Step 3: So, the length of AB is 12 units.
Quick Summary
- A segment bisector always passes through the midpoint of a line segment.
- A perpendicular bisector crosses the segment at 90 degrees.
🍎 Teacher Insights
Use visual aids and hands-on activities to demonstrate the concept of segment bisection. Emphasize the importance of the midpoint.🎓 Prerequisites
- Line Segment
- Midpoint
- Line
- Ray
Check Your Knowledge
Q1: If line l is a segment bisector of AB at point O, and AO = 5, what is the length of AB?
Q2: Which of the following is NOT a segment bisector?
Frequently Asked Questions
Q: Does a segment bisector have to be a line?
A: No, a segment bisector can be a line, a ray, or another line segment.
Q: What is the relationship between a segment bisector and the midpoint?
A: A segment bisector always passes through the midpoint of the segment it bisects.