Subjects geometry

Segment Xv A02272

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1. The problem states that \overline{UV} \cong \overline{VW}, meaning segments UV and VW are congruent. 2. We are asked to identify the term that describes \overline{XV} given the points and segments. 3. Let's analyze the options: - An \textbf{angle bisector} is a ray or segment that divides an angle into two equal angles. - A \textbf{perpendicular bisector} is a line that is perpendicular to a segment and divides it into two equal parts. - A \textbf{median} in a triangle is a segment from a vertex to the midpoint of the opposite side. 4. Since \overline{UV} \cong \overline{VW}, point V is the midpoint of segment UW. 5. \overline{XV} connects vertex X to midpoint V of segment UW. 6. Therefore, \overline{XV} is a \textbf{median} of the triangle formed by points X, U, and W. Final answer: \textbf{median}