Math Problem Statement

Which term describes line segment UW in the provided triangle?

Solution

In the diagram provided, the line segment UW\overline{UW} is marked in such a way that it appears to connect vertex UU of triangle UVXUVX to point WW, which lies on side VXVX. Additionally, the red markings on side VXVX suggest that WW is the midpoint of VXVX.

When a line segment connects a vertex of a triangle to the midpoint of the opposite side, it is called a median. Therefore, the correct term to describe UW\overline{UW} is median.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Line Segments
Medians

Formulas

-

Theorems

Median Theorem: A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

Suitable Grade Level

Grades 6-8