Question

if a point is on the bisector of an angle, then it is:
a. the vertex of the angle.
b. on one side of the angle.
c. equidistant from the bisector and one side of the angle.
d. equidistant from the two sides of the angle.

Explanation:

The Angle Bisector Theorem states that if a point lies on the bisector of an angle, then it is equidistant from the two sides of the angle.

• Option A: The vertex is a single point, not all points on the bisector.
• Option B: A point on the bisector is not on just one side.
• Option C: Incorrect as per the theorem.
• Option D: Correct as per the Angle Bisector Theorem.

Answer:

D. equidistant from the two sides of the angle