MathPlotAI Logo MathPlotAI

Activity D: Medians

Activity D: Medians
Loading the math board and drawing, please wait…
2018-10-30 21:52
TriangleGeometric Construction
This example allows students to move the vertices of a triangle to explore how the centroid moves. Interactive questions help students investigate the properties of the centroid and its relationship with the triangle's vertices. Key math concepts include the centroid, medians, and geometric properties of triangles. Construction highlights the use of GeoGebra commands and objects like Polygon, LineBisector, Intersect, Circle, Segment, Angle, and Distance to build the triangle, medians, centroid, and related geometric elements. Suitable for high school mathematics education to visually understand geometric properties and theorems.

GeoGebra Commands & Parameters

  1. Polygon(L, M, N) → poly1, c, a, b
  2. LineBisector(c) → d
  3. LineBisector(b) → e
  4. LineBisector(a) → f
  5. Intersect(d, e) → Circumcenter
  6. Circle(Circumcenter, N) → g
  7. Intersect(a, f) → X
  8. Intersect(e, b) → Y
  9. Intersect(d, c) → Z
  10. Segment(L, Z) → h
  11. Segment(Z, M) → i
  12. Segment(M, X) → j
  13. Segment(X, N) → k
  14. Segment(N, Y) → l
  15. Segment(Y, L) → m
  16. Intersect(g, e) → D, H
  17. Intersect(g, d) → I, J
  18. Intersect(g, f) → K, L_1
  19. Angle(L_1, X, M) → α
  20. Angle(L, Y, H) → β
  21. Angle(J, Z, L) → γ
  22. Segment(L, X) → n
  23. Segment(N, Z) → p
  24. Segment(M, Y) → q
  25. Intersect(n, p) → R
  26. Segment(R, X) → r
  27. Segment(R, Y) → s
  28. Segment(R, Z) → t
  29. Distance(L, R) → distanceAR
  30. Distance(R, N) → distanceRC
  31. Distance(M, R) → distanceBR