Geometry

Question Analysis

This question focuses on identifying the type of line segment in the triangle based on the given angle equality, testing knowledge of mid - segments, angle bisectors, and perpendicular bisectors.

Key Concept Explanation

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

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 bisects that side.

Step - by - Step Solution

1. Given that .

2. By the definition of an angle bisector, since divides into two equal - measure angles, is an angle bisector.