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

    exAngle Bisector Postulateple of Angle Bisector Postulate

    exAngle Bisector Postulateple of Angle Bisector Postulate is shown as the angle bisector of the ∠CAD in figure given above. According to angle bisector postulate exAngle Bisector Postulateple of 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.

    exAngle Bisector Postulateple of Angle Bisector Postulate
    Choices:
    A. Angle Bisector Postulate4
    B. Angle Bisector Postulate5
    C. Angle Bisector Postulate6
    D. Angle Bisector Postulate7
    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 Angle Bisector Postulate5 .
    Step 3: Hence Angle Bisector Postulate5 is the angle bisector of ∠ACB.

Translate :

Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. You will also receive other promotional emails as and when such deals become available.

I am a Teacher Student