ANGLE BISECTOR POSTULATE
Definition Of Angle Bisector Postulate
Angle Bisector Postulate states that there exists only one angle bisector with each angle.
More About Angle Bisector Postulate
Any point on an angle bisector is equidistant from both the arms of the angle
Examples of Angle Bisector Postulate
is shown as the angle bisector of the ∠CAD in figure given above. According to angle bisector postulate is the only bisector that can be drawn to bisect ∠CAD.
Video Examples: Angle Bisector Theorem
Solved Example on Angle Bisector Postulate
Ques: Identify the angle bisector of ∠ACB.
Choices:
A. 
B. 
C. 
D. 
Correct Answer: B
Solution:
Step 1: Angle bisector is a ray that divides an angle into two equal parts. [Definition of angle bisector.]
Step 2: The ray that divides ∠ACB into two equal angles is .
Step 3: Hence is the angle bisector of ∠ACB.
Quick Summary
- Each angle has only one angle bisector.
- Any point on an angle bisector is equidistant from both arms of the angle.
🍎 Teacher Insights
Use visual aids and hands-on activities to demonstrate the concept of angle bisectors. Emphasize the equidistant property of points on an angle bisector.🎓 Prerequisites
- Angles
- Rays
- Congruence
- Equidistant
Check Your Knowledge
Q1: Which of the following is the angle bisector of ∠ACB in the figure?
Frequently Asked Questions
Q: What is an angle bisector?
A: An angle bisector is a ray that divides an angle into two congruent angles.
Q: How do you know if a ray is an angle bisector?
A: If the ray divides the angle into two congruent angles, then it is an angle bisector.