Centroid of a Parallelogram

What is the relationship between the centroid of a parallelogram and the centroids of the two triangles that make up that parallelogram?

Drag around the vertices B and C of the parallelogram. What do you notice about the centroids?

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It turns out that the centroid of the parallelogram is the midpoint of the segment connecting the centroids of the two triangles.

Teresa Munninghoff, Created with GeoGebra