Question

question 9 of 25 which of the following is the angle bisector theorem? a. if a point is on the bisector of an angle, then it is proportional from the two sides of the angle. b. if a point is in the interior of an angle and proportional from the two sides of the angle, then it lies on the bisector of the angle. c. if a point is on the bisector of an angle, then it is equidistant from the two sides of the angle. d. if a point is in the interior of an angle and equidistant from the two sides of the angle, then it lies on the bisector of the angle.

Explanation:

The Angle Bisector Theorem states that a point on the bisector of an angle is equidistant from the angle's two sides. "Equidistant" (equal distance) is key; "proportional" (options A, B, D) is incorrect. Option C correctly reflects this.

Answer:

C. If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle.