Angle Bisector Postulate
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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.
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