MathPlotAI Logo MathPlotAI

Points and Lines in a Triangle

Points and Lines in a Triangle
Loading the math board and drawing, please wait…
2015-04-16 03:47
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the relationships between points and lines in a triangle. Key mathematical concepts include angle bisectors, medians, and altitudes. Using GeoGebra commands such as Polygon, LineBisector, and Intersect, a dynamic triangle model is constructed. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → polígono1, c, a, b
  2. LineBisector(c) → d
  3. LineBisector(a) → e
  4. LineBisector(b) → f
  5. Intersect(d, e) → C_1
  6. AngularBisector(B, A, C) → i
  7. AngularBisector(A, C, B) → j
  8. AngularBisector(A, B, C) → k
  9. Intersect(i, j) → I_1
  10. Intersect(j, c) → E
  11. Intersect(k, b) → F
  12. Intersect(i, a) → G
  13. Circle(I_1, F) → p
  14. OrthogonalLine(B, b) → m
  15. OrthogonalLine(A, a) → n
  16. OrthogonalLine(C, c) → q
  17. Intersect(m, n) → O_1
  18. Intersect(d, c) → R
  19. Intersect(f, b) → S
  20. Intersect(e, a) → T
  21. Segment(S, B) → g_1
  22. Segment(R, C) → h_1
  23. Segment(T, A) → i_1
  24. Intersect(g_1, h_1) → B_r
  25. Line(C_1, B_r) → r
  26. Intersect(f, e) → C_r
  27. Circle(C_r, A) → h
  28. Intersect(i, j) → I
  29. Intersect(q, m) → O
  30. Intersect(g_1, i_1) → Br