Geometry

Question Analysis

This question focuses on identifying a special line segment in a triangle, specifically testing knowledge of angle bisectors, perpendicular bisectors, and mid - segments.

Key Concept Explanation

Angle Bisector: A line segment that divides an angle of a triangle into two equal - measure angles.

Perpendicular Bisector: A line that is perpendicular to a side of a triangle and also bisects that side.

Mid - segment: A line segment that connects the midpoints of two sides of a triangle.

Step - by - Step Solution

1. Observe the figure. The red line divides the angle at the bottom vertex of the triangle into two equal - measure angles.

2. Recall the definitions of the different line segments in a triangle. Since the line divides an angle into two equal parts, it fits the definition of an angle bisector.

Option Analysis

A.Mid - segment: Incorrect, as a mid - segment connects midpoints of two sides, which is not shown in the figure.

B.Angle bisector: Correct, as the line divides an angle into two equal angles.

C.Perpendicular bisector: Incorrect, as there is no indicati...