Question

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

Explanation:

Step1: Recall Definitions

• Perpendicular Bisector: A line that is perpendicular to a segment and divides it into two equal parts.
• Altitude: A perpendicular segment from a vertex to the line containing the opposite side.
• Median: A segment from a vertex to the midpoint of the opposite side.

Step2: Analyze \(\overline{PR}\)

• \(\overline{PR}\) is perpendicular to \(\overline{QS}\) (right angle symbol).
• We don't know if \(R\) is the midpoint (so not necessarily a perpendicular bisector or median).
• Since it's a perpendicular segment from \(P\) to \(\overline{QS}\), it matches the definition of an altitude.

Answer:

altitude