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Serena's Square, Rectangle, Kite, etc

Serena's Square, Rectangle, Kite, etc
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2016-03-09 23:36
PolygonAngleGeometric Construction
This example demonstrates the construction of geometric shapes such as squares, rectangles, and kites. Key mathematical concepts include geometric construction, angles, distances, and linear functions. Using GeoGebra commands like Segment, Angle, and Distance, these shapes can be dynamically constructed. Suitable for students at the middle school level and above to learn geometric construction and basic geometric concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(A, C) → b
  3. Angle(B, A, C) → α
  4. Distance(b, a) → d
  5. Segment(C, D) → e
  6. Angle(A, C, D) → β
  7. Segment(B, D) → c
  8. Angle(D, B, A) → γ
  9. Angle(C, D, B) → δ
  10. Segment(E, F) → f
  11. Segment(E, G) → g
  12. Angle(F, E, G) → ε
  13. Angle(E, G, H) → ζ
  14. Angle(H, F, E) → η
  15. Segment(F, H) → j
  16. Segment(G, H) → k
  17. Angle(G, H, F) → θ
  18. Segment(I, J) → h
  19. Segment(I, K) → i
  20. Segment(K, L) → l
  21. Angle(K, L, J) → ι
  22. Angle(I, K, L) → κ
  23. Angle(J, I, K) → λ
  24. Angle(L, J, I) → μ
  25. Segment(Q, R) → r
  26. Segment(Q, S) → t
  27. Segment(S, T) → a_1
  28. Segment(R, T) → b_1
  29. Distance(t, r) → o
  30. Segment(Q, T) → c_1
  31. Segment(R, S) → d_1
  32. Segment(G, U) → h_1
  33. Segment(U, H) → j_1
  34. Segment(U, F) → i_1
  35. Segment(E, U) → g_1
  36. Segment(U, E) → k_1
  37. Segment(A, D_1) → f_1
  38. Segment(D_1, D) → q_1
  39. Angle(C, D_1, A) → τ
  40. Segment(C, D_1) → e_1
  41. Segment(D_1, B) → s_1
  42. Segment(E_1, F_1) → t_1
  43. Segment(E_1, G_1) → a_2
  44. Segment(F_1, H_1) → c_2
  45. Segment(H_1, G_1) → e_2
  46. Segment(M, N) → m
  47. Segment(M, O) → p
  48. Segment(N, P) → q
  49. Segment(O, P) → l_1
  50. Angle(M, N, P) → ν
  51. Angle(O, M, N) → ξ
  52. Angle(N, P, O) → ο
  53. Angle(P, O, M) → ρ
  54. Point(Circle[M, 17.5]) → W
  55. Segment(W, O) → n_1
  56. Segment(N, W) → s
  57. Point(Circle[M, 17.4]) → Z
  58. Segment(M, Z) → p_1
  59. Point(Circle[P, 17.1]) → V
  60. Segment(P, V) → m_1
  61. Angle(c_1, d_1) → σ
  62. Point(Circle[E_1, 14]) → A_1
  63. Segment(E_1, A_1) → r_1
  64. Point(Circle[G_1, 14]) → B_1
  65. Segment(G_1, B_1) → b_2
  66. Segment(B_1, H_1) → d_2
  67. Segment(B_1, F_1) → f_2
  68. Angle(E_1, B_1, F_1) → υ
  69. Segment(L, J) → n