Question

$\angle rts$ is a right angle.
which term describes $\overrightarrow{rt}$?
altitude median
angle bisector none of these

Explanation:

Step1: Recall the definition of altitude

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

Step2: Analyze the given information

We know that $\angle RTS$ is a right angle, so $\overrightarrow{RT} \perp \overline{SU}$ (since $\angle RTS = 90^\circ$ means $RT$ is perpendicular to $SU$). And $T$ lies on $\overline{SU}$, so $\overrightarrow{RT}$ is a perpendicular segment from vertex $R$ to the line containing side $SU$.

Step3: Compare with other terms

• Median: A median connects a vertex to the midpoint of the opposite side. We don't know if $T$ is the midpoint.
• Angle bisector: An angle bisector divides an angle into two equal angles. There's no information suggesting $RT$ bisects an angle.
• Since $RT$ is perpendicular to $SU$ and connects vertex $R$ to side $SU$, it fits the definition of an altitude.

Answer:

altitude