Midsegments

Math

Definition

A segment connecting the midpoints of two sides of a triangle. The midsegment is parallel to the third side and exactly half its length. This is known as the Triangle Midsegment Theorem.

Examples

  • In a triangle with a base of 10 cm, the midsegment parallel to the base is 5 cm
  • Using midsegments to find missing lengths in coordinate geometry problems
  • The three midsegments of a triangle form a smaller triangle with 1/4 the area
Key Fact

A midsegment is parallel to the third side and half its length.

Related Terms

Triangles Parallel and perpendicular lines Similar polygons Proportions in triangles

Study This Concept

Practice midsegments with free review games in these units:

Geometry Unit 5: Triangle Relationships