Geometry

Question Analysis

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

Key Concept Explanation

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

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.

Step - by - Step Solution

1. Observe the angles in the triangle. We see that .

2. Recall the definition of an angle bisector. Since  divides  into two equal - measure angles, it meets the criteria of an angle bisector.

Option Analysis

A.Perpendicular bisector: Incorrect. There is no indication that

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