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Polygon Construction and Properties Demo by A.M.E. - Art & Math Exhibition

Polygon Construction and Properties Demo by A.M.E. - Art & Math Exhibition
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2018-11-23 16:40
PolygonCoordinate GeometryGeometric Construction
In collections polygons (GER)
This example demonstrates polygon construction methods and basic properties interactively; core math concepts include polygon definition, midpoint, segment, coordinate geometry; construction highlights from the summary involve commands like Polygon, Midpoint, Segment in GeoGebra; suitable for high school students and teachers to understand polygon geometry and properties, or for demonstrating tree diagrams in probability & statistics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → Vieleck1, a, b, c, C
  2. Midpoint(a) → D
  3. Midpoint(c) → E
  4. Midpoint(b) → F
  5. Segment(D, C) → d
  6. Segment(E, F) → e
  7. Midpoint(c) → G
  8. Polygon(A, B, 4) → Vieleck2, f, g, h, i, H, I
  9. Segment(A, H) → j
  10. Segment(B, I) → k
  11. Midpoint(h) → J
  12. Midpoint(g) → K
  13. Midpoint(i) → L
  14. Segment(D, J) → l
  15. Segment(L, K) → m
  16. Polygon(A, B, 5) → Vieleck3, n, p, q, r, s, M, N, O
  17. Segment(A, M) → t
  18. Segment(B, O) → a_1
  19. Segment(D, N) → b_1
  20. Segment(O, M) → c_1
  21. Polygon(A, B, 6) → Vieleck4, d_1, S, e_1, f_1, g_1, h_1, i_1, P, Q, R
  22. Segment(A, Q) → j_1
  23. Segment(B, R) → k_1
  24. Segment(P, S) → l_1
  25. Midpoint(g_1) → T
  26. Segment(D, T) → m_1
  27. Polygon(A, B, 7) → Vieleck5, n_1, W, Z, A_1, p_1, q_1, r_1, s_1, t_1, a_2, U, V
  28. Segment(B, Z) → b_2
  29. Segment(A, V) → c_2
  30. Segment(D, W) → d_2
  31. Polygon(A, B, 8) → Vieleck6, e_2, C_1, D_1, E_1, F_1, G_1, f_2, g_2, h_2, i_2, j_2, k_2, l_2, B_1
  32. Segment(E_1, B) → m_2
  33. Segment(A, D_1) → n_2
  34. Segment(C_1, A_1) → p_2
  35. Segment(F_1, B_1) → q_2