Triangle Centroid by Paul Jorgens

Triangle Centroid by Paul Jorgens
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2017-05-10 00:30
In collections 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

  1. Segment(A, B) → a
  2. Polygon(A, B, C) → poly1, c, a_1, b
  3. Midpoint(C, A) → D
  4. Midpoint(A, B) → E
  5. Midpoint(B, C) → F
  6. Segment(A, F) → d
  7. Segment(D, B) → e
  8. Segment(E, C) → f
  9. Intersect(f, d) → G
  10. Segment(C, G) → g
  11. Segment(G, E) → h
  12. Segment(A, G) → i
  13. Segment(G, F) → j
  14. Segment(B, G) → k
  15. Segment(G, D) → l