

Midsegment of a Triangle
Geometry construction using a compass and straightedge
The
The midsegment of a triangle is a line which links the midpoints of two sides of the triangle.
See Midsegment of a triangle.
This page shows how to construct (draw) the midsegment of a given triangle with compass and straightedge or ruler.
This construction uses Constructing the Perpendicular Bisector of a Line Segment to find the midpoints of the sides.
Printable stepbystep instructions
The above animation is available as a
printable stepbystep instruction sheet, which can be used for making handouts
or when a computer is not available.
Proof
The image below is the final drawing above.
 Q.E.D
Try it yourself
Click here for a printable worksheet containing two triangle midsegment problems.
When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.
Acknowledgements
Thanks to Aaron Strand of Carmel High School, Indiana for suggesting, reviewing, and proofreading this construction
Other constructions pages on this site
Lines
Angles
Triangles
Right triangles
Triangle Centers
Circles, Arcs and Ellipses
Polygons
NonEuclidean constructions
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