Linear Algebra Practice For Test Number 6

This Applet shows the picture associated with Problem 6 from the Linear Algebra Practice Test.
Ga is the centroid of ΔABD, Gc is the centroid of ΔABD.
Is G, the midpoint of GaGc, also the centroid of parallelogram ABCD?

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Kelly Shattuck, July 10, 2008, Created with GeoGebra