5-1 Midsegments of Triangles
Objective
To use properties of midsegments to solve problems
Lesson Vocabulary
- midsegment of a triangle
In the Solve It,
Essential Understanding There are two special relationships between a midsegment of a triangle and the third side of the triangle.
Take Note Theorem 5-1: Triangle Midsegment Theorem
Theorem
If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long.
If …
D is the midpoint of
Then …
You will prove Theorem 5-1 in Lesson 6-9.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs