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The Orthocenter Demo

The Orthocenter Demo
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2019-03-29 21:50
TriangleAngleGeometric Construction
This example demonstrates the construction and properties of the orthocenter in a triangle. Key math concepts involved include the orthocenter, altitudes, angle bisectors, intersection points, line segments, and interior angles. The construction uses GeoGebra commands such as Polygon, OrthogonalLine, AngularBisector, Intersect, Segment, LineBisector, and InteriorAngles. Suitable for high school mathematics education to understand geometric properties and transformations of triangles.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Polygon(D, E, F) → t2, f, d, e
  3. OrthogonalLine(A, a) → g
  4. AngularBisector(B, A, C) → h
  5. AngularBisector(A, C, B) → i
  6. AngularBisector(A, B, C) → j
  7. Intersect(i, c) → H
  8. Segment(C, H) → l
  9. Intersect(j, b) → I
  10. Segment(B, I) → m
  11. LineBisector(C, B) → k
  12. Intersect(k, a) → G
  13. LineBisector(E, D) → n
  14. LineBisector(F, D) → p
  15. LineBisector(E, F) → q
  16. InteriorAngles(t2) → α, β, γ
  17. Angle(D, E, J) → δ