The centroid G of a triangle is located at the intersection of the medians, which connect vertices (A, B, and C) to opposite midpoints (D, E, and F). Drag A, B, and C around to verify that the three medians always concur in a point. The centroid, which divides each median into a 2:1 ratio (as demonstrated by the measurements and calculation) forms the center of gravity of a triangle. When you balance a cardboard triangle on the point of a pencil, the pencil marks the triangle's centroid.
How would you construct the center of gravity of a square? A rectangle? An arbitrary quadrilateral?
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