Exterior Angles of Polygons by Kelly Haydukewich

Exterior Angles of Polygons by Kelly Haydukewich
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2014-09-12 23:51
This example demonstrates the sum of exterior angles in polygons. Key math concepts include exterior angles and the polygon interior angle sum theorem. It is constructed using GeoGebra commands like Polygon, Ray, Point, Segment, and Angle. Suitable for middle school and above students to learn polygon geometric properties, ideal for classroom demonstrations and concept understanding.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G) → poly2, g, e, f
  3. Polygon(H, I, J, K, L) → poly3, h, i, j, k, l
  4. Polygon(M, N, O, P, Q, R) → poly4, m, n, o, p, q, r
  5. Ray(F, G) → s
  6. Ray(G, E) → t
  7. Ray(E, F) → a_1
  8. Ray(B, C) → b_1
  9. Ray(C, D) → c_1
  10. Ray(D, A) → d_1
  11. Ray(A, B) → e_1
  12. Ray(K, L) → f_1
  13. Ray(L, H) → g_1
  14. Ray(H, I) → h_1
  15. Ray(I, J) → i_1
  16. Ray(J, K) → j_1
  17. Ray(N, O) → k_1
  18. Ray(O, P) → l_1
  19. Ray(P, Q) → m_1
  20. Ray(Q, R) → n_1
  21. Ray(R, M) → p_1
  22. Ray(M, N) → q_1
  23. Point(f_1) → S
  24. Point(g_1) → T
  25. Point(h_1) → U
  26. Point(i_1) → V
  27. Point(j_1) → W
  28. Point(q_1) → Z
  29. Point(k_1) → A_1
  30. Point(m_1) → B_1
  31. Point(n_1) → C_1
  32. Point(p_1) → D_1
  33. Point(l_1) → E_1
  34. Point(b_1) → F_1
  35. Point(c_1) → G_1
  36. Point(d_1) → H_1
  37. Point(e_1) → I_1
  38. Point(s) → J_1
  39. Point(t) → K_1
  40. Point(a_1) → L_1
  41. Segment(G, K_1) → r_1
  42. Segment(E, L_1) → s_1
  43. Segment(F, J_1) → t_1
  44. Segment(C, G_1) → a_2
  45. Segment(D, H_1) → b_2
  46. Segment(A, I_1) → c_2
  47. Segment(B, F_1) → d_2
  48. Segment(H, U) → e_2
  49. Segment(I, V) → f_2
  50. Angle(K_1, E, F) → α
  51. Angle(L_1, F, G) → β
  52. Angle(J_1, G, E) → γ
  53. Angle(H_1, A, I_1) → δ
  54. Angle(I_1, B, C) → ε
  55. Angle(F_1, C, D) → ζ
  56. Angle(G_1, D, A) → η
  57. Segment(S, K) → g_2
  58. Segment(L, T) → h_2
  59. Segment(J, W) → i_2
  60. Angle(S, L, T) → θ
  61. Angle(T, H, I) → ι
  62. Angle(V, J, K) → λ
  63. Angle(W, K, L) → μ
  64. Segment(Q, C_1) → j_2
  65. Segment(R, D_1) → k_2
  66. Segment(M, Z) → l_2
  67. Segment(N, A_1) → m_2
  68. Segment(O, E_1) → n_2
  69. Segment(P, B_1) → p_2
  70. Angle(C_1, R, M) → ν
  71. Angle(D_1, M, N) → ξ
  72. Angle(Z, N, O) → ο
  73. Angle(A_1, O, P) → ρ
  74. Angle(E_1, P, Q) → σ
  75. Angle(B_1, Q, R) → τ
  76. Angle(U, I, J) → κ

AI Drawing Prompt Reference

Draw several polygons of different numbers of sides and illustrate the sum of their exterior angles. For each vertex, draw rays to form the exterior angles. Connect these exterior angle vertices and adjacent vertices to create new shapes. Highlight the property that the sum of exterior angles is 360 degrees using different colors or line styles, suitable for educational demonstrations.
The prompt above was compiled from the original drawing commands and is for reference only.