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Orthocenter Activity

Orthocenter Activity
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2018-11-27 23:46
TriangleTransformationGeometric Construction
This example demonstrates the geometric properties and construction methods of the orthocenter in a triangle, involving key concepts like altitudes, orthocenter, medians, angle bisectors, and circumcircle. It utilizes GeoGebra commands such as Polygon, Centroid, Midpoint, LineBisector, Intersect, Circle, Point, and OrthogonalLine. Suitable for high school mathematics education, focusing on geometric transformations and optimization problems.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Centroid(t1) → D
  3. Midpoint(a) → E
  4. Midpoint(c) → F
  5. Midpoint(b) → G
  6. LineBisector(a) → f
  7. LineBisector(b) → g
  8. LineBisector(c) → h
  9. Intersect(f, g) → Circumcenter
  10. Circle(Circumcenter, A) → d
  11. Point(a) → I
  12. OrthogonalLine(I, a) → i
  13. OrthogonalLine(C, c) → j
  14. OrthogonalLine(B, b) → k
  15. Intersect(i, j) → Orthocenter