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 provided.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Analyze NH:

NH is a median as H is the mid - point of KL. It does not meet the criteria of an altitude as it is not perpendicular to the opposite side from N.

 

2. Analyze KM:

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

 

3. Analyze NG:

NG has a right - angle mark and is perpendicular to the extension of KL from vertex N. This satisfies the definition of an altitude.

 

4. Analyze IH:

IH is a perpendicular bisector as it is perpendicular to ...