Question

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

Explanation:

1. Recall the definitions:

• Median: A segment from a vertex to the midpoint of the opposite side. Here, \( ST = 24 \) and \( TU = 42 \), so \( T \) is not the midpoint (since \( 24

eq42 \)), so \( \overline{TW} \) is not a median.

• Perpendicular bisector: A line that is perpendicular to a segment and bisects it (passes through the midpoint). Since \( T \) is not the midpoint ( \( ST

eq TU \) ), \( \overline{TW} \) is not a perpendicular bisector.

• Altitude: A segment from a vertex perpendicular to the opposite side (or its extension). The right angle at \( T \) shows \( \overline{TW}\perp\overline{SU} \), and \( W \) is on \( \overline{VS} \), so \( \overline{TW} \) is an altitude of \( \triangle VSU \) (or the relevant triangle).

Answer:

altitude