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Incenter Construction by Josh Rollins

Incenter Construction by Josh Rollins
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2017-05-11 02:15
TriangleCircleGeometric Construction
In collections Centers of Triangles
This example demonstrates the construction of the incenter of a triangle using GeoGebra, focusing on angle bisectors and their intersection. Key math concepts include angle bisectors, triangle geometry, and circle construction. The construction involves commands like Segment, AngularBisector, Intersect, and Circle. Suitable for middle school and high school students learning geometric constructions and triangle properties.

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. AngularBisector(B, C, A) → j
  6. AngularBisector(C, A, B) → k
  7. Intersect(i, j) → D
  8. Angle(A, B, D) → α
  9. Angle(D, B, C) → β
  10. Angle(B, C, D) → γ
  11. Angle(D, C, A) → δ
  12. Angle(C, A, D) → ε
  13. Angle(D, A, B) → ζ
  14. OrthogonalLine(D, g) → l
  15. Intersect(l, g) → E
  16. Circle(D, E) → c