Question

look at the diagram.
which term describes \\(\overline{xz}\\)?
median
altitude
perpendicular bisector
none of these

Explanation:

Step1: Recall definitions

• Median: A segment from a vertex to the midpoint of the opposite side.
• Altitude: A segment from a vertex perpendicular to the opposite side (or its extension).
• Perpendicular bisector: A line/segment that is perpendicular to a segment and bisects it (passes through its midpoint).

Step2: Analyze the diagram

In the triangle, $\overline{XZ}$ is perpendicular to $\overline{YW}$ (right angle at $Z$). Now check if it's a median (needs to bisect $YW$) or perpendicular bisector (needs to bisect and be perpendicular). The diagram only shows perpendicularity at $Z$, not necessarily bisecting $YW$. But the altitude is defined as a perpendicular segment from a vertex to the opposite side. Since $\overline{XZ}$ is perpendicular to $\overline{YW}$ (the side opposite vertex $X$), it fits the altitude definition.

Answer:

altitude