Geometry

Question Analysis

This question is about identifying a specific line segment in a triangle, testing the understanding 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 these line segments. Since the red line connects the midpoints of two sides, it fits the definition of a mid - segment.

Option Analysis

A.Mid - segment: Correct. The line connects the midpoints of two sides, which is the defining characteristic of a mid - segment.

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

C.Perpendicular bisector: Incorrect. There are no indica...