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 perpendicular to the opposite side (or the line containing the opposite side).

 

Step - by - Step Solution

1. Analyze ZV:

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

 

2. Analyze VY:

VY is a perpendicular bisector as it is perpendicular to XZ and Y is the mid - point of XZ. It does not meet the criteria of an altitude as it does not start from a vertex to be perpendicular to the opposite side in the context of being an altitude.

 

3. Analyze XU:

XU 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 X.

 

4. Analyze WY:

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