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Exterior Angles of Regular Polygons by Tom Walsh

Exterior Angles of Regular Polygons by Tom Walsh
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2018-10-11 22:23
PolygonAngleGeometric Construction
This example demonstrates the properties of exterior angles in regular polygons. Key mathematical concepts include the relationship between interior and exterior angles, angle calculations, and symmetry of regular polygons. Construction involves using GeoGebra commands such as Polygon, Ray, and Angle. Suitable for middle or high school mathematics education to understand geometric properties and construction techniques.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, f, q, C, D, E, F, G, H, I, J, g, h, i, j, k, l, m, p
  2. Ray(A, B) → t
  3. Ray(B, C) → a
  4. Ray(C, D) → b
  5. Ray(D, E) → c
  6. Ray(E, F) → e
  7. Ray(F, G) → f_1
  8. Ray(G, H) → g_1
  9. Ray(H, I) → h_1
  10. Ray(I, J) → i_1
  11. Ray(C, A) → j_1
  12. Ray(D, A) → k_1
  13. Ray(E, A) → l_1
  14. Ray(F, A) → m_1
  15. Ray(G, A) → n_1
  16. Ray(H, A) → p_1
  17. Ray(I, A) → q_1
  18. Ray(J, A) → r_1
  19. Angle(a, b) → α
  20. Angle(b, c) → β
  21. Angle(c, e) → γ
  22. Angle(e, f_1) → δ
  23. Angle(f_1, g_1) → ε
  24. Angle(g_1, h_1) → ζ
  25. Angle(h_1, i_1) → η
  26. Angle(t, a) → θ
  27. Angle(i_1, r_1) → ι
  28. Angle(r_1, t) → κ
  29. Angle(h_1, q_1) → λ
  30. Angle(q_1, t) → μ
  31. Angle(g_1, p_1) → ν
  32. Angle(p_1, t) → ξ
  33. Angle(f_1, n_1) → ο
  34. Angle(n_1, t) → ρ
  35. Angle(e, m_1) → σ
  36. Angle(m_1, t) → τ
  37. Angle(c, l_1) → υ
  38. Angle(l_1, t) → ϕ
  39. Angle(b, k_1) → χ
  40. Angle(k_1, t) → ψ
  41. Angle(a, j_1) → ω
  42. Angle(j_1, t) → α_1