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Angle Measures in Polygons

Angle Measures in Polygons
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2016-11-22 05:50
PolygonAngleGeometric Construction
This example demonstrates the measurement of angles in polygons. Key mathematical concepts include polygons and angles. Using GeoGebra commands such as Polygon, Angle, Ray, and Point, one can construct polygons and measure their interior angles. Suitable for middle school and above students to learn about the properties of polygons.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, a, j, k, l, m, p, q, r, s, t, C, b, D, E, F, G, H, I, J, K, L, M, c, N, O, P, Q, R, d, e, f, g, h, i
  2. Angle(B, A, R) → α
  3. Angle(A, R, Q) → β
  4. Angle(R, Q, P) → γ
  5. Angle(Q, P, O) → δ
  6. Angle(P, O, N) → ε
  7. Angle(O, N, M) → ζ
  8. Angle(N, M, L) → η
  9. Angle(M, L, K) → θ
  10. Angle(L, K, J) → ι
  11. Angle(K, J, I) → κ
  12. Angle(J, I, H) → λ
  13. Angle(H, G, F) → ν
  14. Angle(G, F, E) → ξ
  15. Angle(F, E, D) → ο
  16. Angle(E, D, C) → ρ
  17. Angle(D, C, B) → σ
  18. Angle(C, B, A) → τ
  19. Ray(A, B) → a_1
  20. Ray(B, C) → b_1
  21. Ray(C, D) → c_1
  22. Ray(D, E) → d_1
  23. Ray(E, F) → e_1
  24. Ray(F, G) → f_1
  25. Ray(G, H) → g_1
  26. Ray(H, I) → h_1
  27. Ray(I, J) → i_1
  28. Ray(J, K) → j_1
  29. Ray(K, L) → k_1
  30. Ray(L, M) → l_1
  31. Ray(M, N) → m_1
  32. Ray(N, O) → n_1
  33. Ray(O, P) → p_1
  34. Ray(P, Q) → q_1
  35. Ray(Q, R) → r_1
  36. Ray(R, A) → s_1
  37. Point(a_1) → S
  38. Point(b_1) → T
  39. Point(c_1) → U
  40. Point(d_1) → V
  41. Point(e_1) → W
  42. Point(f_1) → Z
  43. Point(g_1) → A_1
  44. Point(h_1) → B_1
  45. Point(i_1) → C_1
  46. Point(j_1) → D_1
  47. Point(k_1) → E_1
  48. Point(l_1) → F_1
  49. Point(m_1) → G_1
  50. Point(n_1) → H_1
  51. Point(p_1) → I_1
  52. Point(q_1) → J_1
  53. Point(r_1) → K_1
  54. Point(s_1) → L_1
  55. Angle(S, B, C) → ν_1
  56. Polygon(S, B, T) → poly2, t_1, s_2, b_2
  57. Angle(I, H, G) → ξ_1
  58. Point(c_1) → Q_1
  59. Point(d_1) → R_1
  60. Point(e_1) → S_1
  61. Point(f_1) → T_1
  62. Point(g_1) → U_1
  63. Point(h_1) → V_1
  64. Point(i_1) → W_1
  65. Point(j_1) → Z_1
  66. Point(k_1) → A_2
  67. Point(l_1) → B_2
  68. Point(m_1) → C_2
  69. Point(n_1) → D_2
  70. Point(p_1) → E_2
  71. Point(q_1) → F_2
  72. Point(r_1) → G_2
  73. Angle(Q_1, V, R_1) → υ
  74. Angle(R_1, W, S_1) → ϕ
  75. Angle(S_1, Z, T_1) → χ
  76. Angle(T_1, A_1, U_1) → ψ
  77. Angle(U_1, B_1, V_1) → ω
  78. Angle(V_1, C_1, W_1) → α_1
  79. Angle(W_1, D_1, Z_1) → β_1
  80. Angle(Z_1, E_1, A_2) → γ_1
  81. Angle(A_2, F_1, B_2) → δ_1
  82. Angle(B_2, G_1, C_2) → ε_1
  83. Angle(C_2, H_1, D_2) → ζ_1
  84. Angle(D_2, I_1, E_2) → η_1
  85. Angle(E_2, J_1, F_2) → θ_1
  86. Angle(F_2, K_1, G_2) → ι_1
  87. Point(s_1) → H_2