Centroid Demonstration by Josh Rollins

Centroid Demonstration by Josh Rollins
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2017-05-09 22:17
In collections Centers of Triangles
This example demonstrates how to construct the centroid of a shape by using segments, midpoints, and intersection points. It involves core mathematical concepts such as conditional probability, step functions, complex numbers, coordinate geometry, and piecewise functions. The construction utilizes GeoGebra commands/objects like Segment, Midpoint, Intersect, and Distance. Suitable for high school and above mathematics learners to understand geometric constructions and centroid calculations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Midpoint(f) → D
  5. Midpoint(h) → E
  6. Midpoint(g) → F
  7. Segment(D, C) → i
  8. Segment(E, B) → j
  9. Segment(F, A) → k
  10. Intersect(i, j) → G
  11. Distance(B, G) → distanceBG
  12. Distance(A, G) → distanceAG
  13. Distance(C, G) → distanceCG
  14. Distance(D, G) → distanceDG
  15. Distance(F, G) → distanceFG
  16. Distance(E, G) → distanceEG
  17. Distance(G, E) → distanceGE
  18. Distance(E, G) → a