Geometry

Question Analysis

The main focus is to identify the altitude among the given line - segments in the triangle by applying the definition of an altitude and analyzing the visual cues.

 

Key Concept Explanation

An altitude of a triangle is a line segment drawn from a vertex of the triangle perpendicular to the opposite side (or the line containing the opposite side).

 

Step - by - Step Solution

1. Analyze HJ:

HJ has a right - angle mark, indicating it is perpendicular to the side it intersects. It is drawn from vertex H, fulfilling the definition of an altitude.

 

2. Analyze EG:

EG is an angle bisector as indicated by the arc marks. It is not an altitude as it is not perpendicular to an opposite side from E.

 

3. Analyze FI:

FI is a median as I is the mid - point of EH. It is not an altitude as it is not perpendicular to the opposite side from F.

 

4. Analyze GI:

GI is a perpendicular bisector as it is perpendicular to EH and I is t...