MathPlotAI Logo MathPlotAI

Centroid and Circumcenter Demo

Centroid and Circumcenter Demo
Loading the math board and drawing, please wait…
2017-11-30 14:06
TriangleCircleGeometric Construction
This example demonstrates the geometric properties and relationships of the centroid and circumcenter of a triangle. Core math concepts include centroid (barycenter), circumcenter, medians, angle bisectors, and circles. Construction highlights involve commands like Polygon, LineBisector, Intersect, Segment, Line, and Circle in GeoGebra. Suitable for high school mathematics teaching or for geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. LineBisector(c) → f
  3. LineBisector(a) → g
  4. LineBisector(b) → h
  5. Intersect(f, g) → Circumcenter
  6. Segment(Midpoint[c], Circumcenter) → i
  7. Segment(Midpoint[b], Circumcenter) → j
  8. Segment(Midpoint[a], Circumcenter) → k
  9. Segment(A, Circumcenter) → l
  10. Segment(Circumcenter, C) → m
  11. Segment(Circumcenter, B) → n
  12. Line(Midpoint[c], C) → p
  13. Line(Midpoint[b], B) → q
  14. Intersect(p, q) → Centroid
  15. Segment(B, Centroid) → s
  16. Segment(A, Centroid) → t
  17. Segment(C, Centroid) → u
  18. Line(Midpoint[a], A) → r
  19. Circle(A, B, C) → d