Question

question 2 of 10
if a point is on the bisector of an angle, then it is:
a. equidistant from the two sides of the angle.
b. the vertex of the angle.
c. equidistant from the bisector and one side of the angle.
d. on one side of the angle.

Explanation:

The Angle Bisector Theorem (or the property of angle bisectors) states that any point on the bisector of an angle is equidistant from the two sides of the angle. Let's analyze each option:

• Option A: Matches the property of an angle bisector. A point on the angle bisector is equidistant to the two sides of the angle.
• Option B: The vertex is the common endpoint of the two sides of the angle, not a general point on the bisector.
• Option C: The property of the angle bisector is about distance to the two sides, not to the bisector and a side.
• Option D: A point on the angle bisector is not on one of the sides (unless it's the vertex, but the bisector extends from the vertex), and the property is about distance to both sides, not location on a side.

Answer:

A. equidistant from the two sides of the angle.