Geometry

Question Analysis

This question focuses on identifying a specific line segment in a triangle, 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. It is parallel to the third side and half its length.

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. Observe the markings on the triangle. The red line connects the midpoints of two sides of the triangle.

2. Recall the definitions of the different line segments. Since the red line connects midpoints, it fits the definition of a mid - segment.

Option Analysis

A.Mid - segment: Correct, as the line connects the midpoints of two sides of the triangle.

B.Angle bisector: Incorrect, as there are no markings indicating that the line divides an angle into two equal parts.

C.Perpendicular bisector: Incorrect, as there are no markings indicating that the ...