Question

which line segment is an altitude of $\triangle uwy$?

Explanation:

Step1: Recall the definition of an altitude

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

Step2: Analyze each segment

• For $\triangle UWY$, we check the perpendicular segments:
• Segment $WZ$: It is perpendicular to $YU$ (since $\angle WZU = 90^\circ$) and connects vertex $W$ to side $YU$ (the side opposite $W$ in $\triangle UWY$).
• Segment $XW$: It is perpendicular to $XV$ (or some other segment), but not to a side of $\triangle UWY$ in the context of the triangle's altitude.
• Other segments: Do not meet the perpendicular - to - opposite - side criterion.

Answer:

$\overline{WZ}$ (assuming the segments are named as per the diagram, with $WZ$ being perpendicular to $YU$ which is a side of $\triangle UWY$)