Geometry

Question Analysis

The main focus is to correctly 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 BC:

BC is a perpendicular bisector as it is perpendicular to HE and B is the mid - point of HE. It does not meet the criteria of an altitude as it does not start from a vertex to be perpendicular to the opposite side.

 

2. Analyze ED:

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

 

3. Analyze HF:

HF 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 H.

 

4. Analyze BG: