Rigid Motions of the Plane

Medians and the Centroid

In a triangle, the point of intersection of the three medians is called the [i]Centroid[/i].

Two properties: 1) The three medians meet at a single point. 2) G divides each median into two segments. The vertex segment is twice as long as the segment to the opposite side. [b]Example:[/b] -Choose a median. -I choose AD. -G divides AD into AG, GD. -A is a vertex, D lies on the opposite side. -AG is twice as long as GD. (AG = 2 GD)

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