This page uses **JavaSketchpad**, a World-Wide-Web component of *The Geometer's Sketchpad.* Copyright © 1990-2001 by KCP Technologies, Inc. Licensed only for non-commercial use.

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Centroids

Synonyms for *centroid* are *center of gravity* and *balance point*, both of which indicate properties of this special point. The sketch here shows seven centroids associated with three disks.
If you drag point *a* away from point *A*, the other six centroids will "gravitate" toward *A*.

How could you arrange for point *G* to be the centroid of the triangle *ABC*?

How many triples of centroids in the sketch are collinear?

For more, see **GEOMETRY IN ACTION**, Chapter 2, Project 3.