Geometry

Question Analysis

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

Key Concept Explanation

Mid - segment: Connects the midpoints of two sides of a triangle.

Angle bisector: Divides an angle of a triangle into two equal - measure angles.

Perpendicular bisector: Is perpendicular to a side of a triangle and bisects that side.

Step - by - Step Solution

1. Observe the figure. The line intersects one side of the triangle at a right - angle and the side has equal markings on either side of the intersection point.

2. Based on the definitions, this line meets the criteria of a perpendicular bisector as it is both perpendicular to a side and bisects it.

Option Analysis

A.Mid - segment: Incorrect, as it doesn't connect the midpoints of two sides.

B.Angle bisector: Incorrect, as there are no markings indicating it divides an angle.

C.Perpendicular bisector: Correct, due to the perpendicul...