Angle bisector is defined as which of the following?

Angle bisector is defined as which of the following?

• A. A ray that divides an angle into two congruent angles
• B. A line that divides a circle into two equal areas
• C. A ray that creates a straight angle
• D. A segment that cuts a line in half

Answer: (A)

An angle bisector is a ray that starts at the angle’s vertex and splits the angle into two equal parts. The two angles formed on either side of this ray have equal measures, so they are congruent. This ray lies inside the angle and is the unique path that makes the two parts equal. Other ideas don’t describe splitting an angle: dividing a circle into equal areas involves a diameter, not an angle; creating a straight angle would produce a 180-degree turn rather than dividing the given angle; and a segment that cuts a line in half refers to a perpendicular bisector of a line segment, not an angle division.

An angle bisector is a ray that starts at the angle’s vertex and splits the angle into two equal parts. The two angles formed on either side of this ray have equal measures, so they are congruent. This ray lies inside the angle and is the unique path that makes the two parts equal. Other ideas don’t describe splitting an angle: dividing a circle into equal areas involves a diameter, not an angle; creating a straight angle would produce a 180-degree turn rather than dividing the given angle; and a segment that cuts a line in half refers to a perpendicular bisector of a line segment, not an angle division.