# Mid-Segment of a Triangle

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Examples, videos, worksheets, solutions, and activities to help Geometry students learn how to construct the mid-segment of a triangle.

The following diagrams show the mid-segment of a triangle. Scroll down the page for more examples and solutions on the mid-segments of triangles.

Triangle Mid-segment
A triangle mid-segment is a line segment whose endpoints are the midpoints of a triangle. The triangle mid-segment is parallel to the third side (the side that does not contain an endpoint). Also, the mid-segment is half the length of the third side.

The Triangle Midsegment Theorem
The Triangle Midsegment Theorem Mid-segment of a Triangle
Students learn the following theorems related to parallel lines. If 3 parallel lines form congruent segments along one transversal, then they form congruent segments along every transversal. If a line intersects the midpoint of one side a triangle and is parallel to another side of the triangle, then it intersects the midpoint of the third side of the triangle. If a segment joins the midpoints of two sides of a triangle, then the segment is (a) parallel to the third side of the triangle, and (b) half the length of the third side.

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