Subjects geometry

Segment Sv 317Ef2

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1. **Problem Statement:** We are asked to identify the term that describes the line segment $\overline{SV}$ in the given polygon with vertices $R, V, U, S, T$. The polygon has a right angle at vertex $V$, and segment $\overline{SV}$ is drawn from $S$ to $V$. 2. **Key Definitions:** - An **angle bisector** divides an angle into two equal parts. - An **altitude** is a perpendicular segment from a vertex to the line containing the opposite side. - A **perpendicular bisector** is a line that is perpendicular to a segment and divides it into two equal parts. 3. **Analysis:** - Since $\angle V$ is a right angle, and $\overline{SV}$ is drawn from $S$ to $V$, we check if $\overline{SV}$ is perpendicular to the opposite side or bisects an angle or segment. - The right angle at $V$ is between $\overline{RV}$ and $\overline{VU}$. - $\overline{SV}$ is perpendicular to the side at $V$, indicating it is an altitude from vertex $S$ to side $\overline{RU}$ (or the line containing $\overline{RU}$). 4. **Conclusion:** - $\overline{SV}$ is an **altitude** because it is perpendicular from vertex $S$ to the opposite side. **Final answer:** $\overline{SV}$ is an altitude.