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The midpoint theorem states that if you connect the midpoints of two sides of a triangle then the resulting line segment will be parallel to the third side and have half of its length.

References
- French, Doug (2004). Teaching and Learning Geometry. BLoomsbury. pp. 81–84. ISBN 9780826473622. (online copy, p. 81, at Google Books)
- Nicholson, James (2009). The Concise Oxford Dictionary of Mathematics. Oxford University Press. p. 297. ISBN 9780199235940. (online copy, p. 297, at Google Books)