Triangle Centroid by Paul Jorgens
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Points of Concurrency
This example demonstrates the centroid of a triangle, which is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle. Using GeoGebra commands such as Segment, Polygon, Midpoint, and Intersect, a dynamic triangle can be constructed to observe the changes in the centroid's position. Suitable for middle school and above students to learn geometric construction and triangle properties.
GeoGebra Commands & Parameters
Segment(A, B) → aPolygon(A, B, C) → poly1, c, a_1, bMidpoint(C, A) → DMidpoint(A, B) → EMidpoint(B, C) → FSegment(A, F) → dSegment(D, B) → eSegment(E, C) → fIntersect(f, d) → GSegment(C, G) → gSegment(G, E) → hSegment(A, G) → iSegment(G, F) → jSegment(B, G) → kSegment(G, D) → l