Question

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

Explanation:

Step1: Recall definitions

• Median: A segment from a vertex to the midpoint of the opposite side.
• Perpendicular bisector: A line/segment that bisects a side and is perpendicular to it.
• Angle bisector: A segment that divides an angle into two equal angles.

Step2: Analyze the diagram

• \( YZ = ZW = 25 \), so \( Z \) is the midpoint of \( YW \).
• \( \overline{XZ} \) connects vertex \( X \) to midpoint \( Z \) of \( YW \).

Step3: Match with definitions

• Since \( Z \) is the midpoint of \( YW \) and \( \overline{XZ} \) goes from \( X \) (a vertex) to midpoint \( Z \) of \( YW \) (the opposite side), \( \overline{XZ} \) is a median. It's not necessarily perpendicular (no right angle marked) or an angle bisector (no info about angles at \( X \) being equal).

Answer:

median