

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
While you are here..
... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone.
However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site?
When we reach the goal I will remove all advertising from the site.
It only takes a minute and any amount would be greatly appreciated.
Thank you for considering it! – John Page
Become a patron of the site at patreon.com/mathopenref
Other constructions pages on this site
Lines
Angles
Triangles
Right triangles
Triangle Centers
Circles, Arcs and Ellipses
Polygons
NonEuclidean constructions
(C) 2011 Copyright Math Open Reference. All rights reserved

