MathPlotAI Logo MathPlotAI

Angle Bisector by Alexander Lau

Angle Bisector by Alexander Lau
Loading the math board and drawing, please wait…
2014-03-23 16:26
TriangleAngleGeometric Construction
In collections Special Lines and Centres of Triangle
This example demonstrates the properties of angle bisectors. Key mathematical concepts include angle bisectors and the angle bisector theorem in triangles. The construction uses commands like Polygon, AngularBisector, and Intersect. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. AngularBisector(A, B, C) → d
  3. AngularBisector(B, A, C) → e
  4. AngularBisector(A, C, B) → f
  5. Intersect(e, a) → D
  6. Intersect(d, b) → E
  7. Intersect(f, c) → F
  8. Segment(A, D) → g
  9. Segment(B, E) → h
  10. Segment(C, F) → i
  11. Angle(B, A, D) → α
  12. Angle(D, A, C) → β
  13. Angle(E, B, A) → γ
  14. Angle(C, B, E) → δ
  15. Angle(A, C, F) → ε
  16. Angle(F, C, B) → ζ
  17. Intersect(g, h) → I
  18. OrthogonalLine(I, c) → l
  19. Intersect(l, c) → G
  20. Segment(I, G) → m
  21. Circle(I, G) → p

AI Drawing Prompt Reference

Draw a triangle ABC, then draw the angle bisectors AD, BE, and CF. Find the intersection point I of these bisectors. Draw a line perpendicular to side BC through point I, and find its intersection G with BC. Finally, draw a circle with IG as its radius.
The prompt above was compiled from the original drawing commands and is for reference only.