MIdpoint Connector Theorem

Drag the vertices of the triangle ABC. What happens to segment DE in relation to segment AB?

The segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

Triangle EDF is the medial triangle of triangle ABC. Drag the vertices of triangle ABC. What do you notice about the areas of triangles DEC, ADF, DFE, and FEB?

The medial triangle EDF divides triangle ABC into four congruent triangles.

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Michael Smith, July 31, 2008, Created with GeoGebra