http://www.ck12.org Chapter 5. Relationships with Triangles
5.1 Midsegment Theorem
Here you’ll learn what a midsegment is, and how midsegments in triangles relate to the triangles.
What if you created a repeated design using the same shape (or shapes) of different sizes? This would be called a
fractal. Below, is an example of the first few steps of one. What does the next figure look like? How many triangles
are in each figure (green and white triangles)? Is there a pattern? After completing this Concept, you’ll be able to
better understand how these fractals are created.
Watch This
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Click image to the left for more content.CK-12 Foundation: Chapter5MidsegmentTheoremA
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Click image to the left for more content.James Sousa:Introduction totheMidsegmentsof a Triangle
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Click image to the left for more content.James Sousa:DeterminingUnknownValues Using Propertiesof the Midsegments of aTriangle
Guidance
Amidsegmentis a line segment that connects two midpoints of adjacent sides of a triangle. For every triangle there
are three midsegments. TheMidsegment Theoremstates that the midsegment of a triangle is half the length of the
side it is parallel to.