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Point of Concurrency of Angle Bisectors - Incenter

Point of Concurrency of Angle Bisectors - Incenter
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2015-11-27 01:17
TriangleAngleGeometric Construction
In collections Points of Concurrency of Triangles
This GeoGebra worksheet illustrates that the angle bisectors of a triangle are concurrent at the incenter. Key mathematical concepts include angle bisectors and the incenter of a triangle. Construction highlights the use of Polygon, AngularBisector, and Intersect commands. Suitable for middle school and above students to explore triangle properties.

GeoGebra Commands & Parameters

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