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Points on Angle Bisectors

Points on Angle Bisectors
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2020-06-14 01:53
AngleCoordinate GeometryGeometric Construction
In collections Investigations of the Angle Bisector
This example demonstrates points on angle bisectors. Key mathematical concepts include angle bisectors and point construction. Commands used include Segment, AngularBisector, Intersect, Point, CircleArc, OrthogonalLine, Ray, and Angle. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. AngularBisector(A, B, C) → i
  5. Intersect(i, h) → D
  6. Point(f) → E
  7. Point(i) → F
  8. Point(g) → G
  9. CircleArc(B, F, E) → c
  10. CircleArc(B, G, F) → d
  11. Point(i) → P
  12. OrthogonalLine(P, f) → j
  13. OrthogonalLine(P, g) → k
  14. Ray(B, A) → n
  15. Ray(B, C) → p
  16. OrthogonalLine(P, n) → l
  17. Intersect(n, l) → H
  18. Segment(H, P) → q
  19. Angle(B, H, P) → α
  20. OrthogonalLine(P, p) → m
  21. Intersect(p, m) → I
  22. Segment(I, P) → r
  23. Angle(P, I, B) → β