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Thebault's Theorem GeoGebra Demonstration

Thebault's Theorem GeoGebra Demonstration
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2015-10-12 02:16
PolygonFunctionCoordinate GeometryGeometric Construction
This example dynamically illustrates Thebault's Theorem using GeoGebra, focusing on parallelograms, squares, arithmetic means, and linear functions. Key math concepts include parallelogram properties, continuity, and random variables. Construction highlights the use of commands like Segment, Line, Intersect, Polygon, and Midpoint. Suitable for high school and above, it offers an intuitive understanding of complex geometric theorems and proof strategies.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, D) → b
  3. Line(D, a) → c
  4. Line(B, b) → d
  5. Intersect(c, d) → C
  6. Segment(D, C) → e
  7. Segment(B, C) → f
  8. Polygon(B, A, 4) → poly1, g, h, i, j, E, F
  9. Polygon(A, D, 4) → poly2, k, l, m, n, G, H
  10. Polygon(D, C, 4) → poly3, p, q, r, s, I, J
  11. Polygon(C, B, 4) → poly4, t, a_1, b_1, c_1, K, L
  12. Midpoint(F, A) → M
  13. Midpoint(A, G) → N
  14. Midpoint(D, I) → O
  15. Midpoint(B, L) → P
  16. Segment(M, P) → d_1
  17. Segment(P, O) → e_1
  18. Segment(O, N) → f_1
  19. Segment(N, M) → g_1