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Bryce Orthocenter

Bryce Orthocenter
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2018-01-25 07:17
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and construction method of the orthocenter (circumcenter) of a Bryce triangle. It involves core mathematical concepts such as orthogonal lines, intersection points, angle calculations, and polygon construction. Key GeoGebra commands and objects used in the construction include Polygon, OrthogonalLine, Intersect, and Angle, as outlined in the construction summary. It is suitable for high school mathematics education, helping students understand the geometric properties of triangles and dynamically demonstrate them.

GeoGebra Commands & Parameters

  1. Polygon(D, E, F) → t2, f_1, d, e
  2. OrthogonalLine(E, e) → i
  3. OrthogonalLine(D, d) → j
  4. OrthogonalLine(F, f_1) → k
  5. Intersect(i, j) → G
  6. Polygon(H, I, J) → t3, j_1, h_1, i_1
  7. OrthogonalLine(I, i_1) → l
  8. OrthogonalLine(H, h_1) → m
  9. OrthogonalLine(J, j_1) → n
  10. Intersect(l, m) → K
  11. Polygon(A, B, C) → t1, c, a, b
  12. Angle(A, B, C) → α
  13. OrthogonalLine(B, b) → f
  14. OrthogonalLine(C, c) → g
  15. OrthogonalLine(A, a) → h