Regular Polygons by macscoobs

Regular Polygons by macscoobs
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2013-11-20 10:05
This example demonstrates the basic construction of regular polygons. It involves the geometric properties of polygons and uses commands like Polygon, Segment, Distance, and Angle in GeoGebra. Suitable for middle school and above students to learn about polygon properties and geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 3) → poly1, c, a, b, C
  2. Polygon(D, E, 4) → poly2, d, e, f, g, F, G
  3. Polygon(H, I, 5) → poly3, h, i, j, k, l, J, K, L
  4. Polygon(M, N, 6) → poly4, m, R, n, p, q, r, s, O, P, Q
  5. Segment(B, A) → t
  6. Segment(A, C) → a_1
  7. Segment(C, B) → b_1
  8. Segment(N, M) → c_1
  9. Segment(M, R) → d_1
  10. Segment(R, Q) → e_1
  11. Segment(Q, P) → f_1
  12. Segment(P, O) → g_1
  13. Segment(O, N) → h_1
  14. Segment(G, F) → i_1
  15. Segment(F, E) → j_1
  16. Segment(E, D) → k_1
  17. Segment(D, G) → l_1
  18. Segment(I, J) → m_1
  19. Segment(J, K) → n_1
  20. Segment(K, L) → p_1
  21. Segment(L, H) → q_1
  22. Segment(H, I) → r_1
  23. Distance(c, b) → o
  24. Distance(a, m) → u
  25. Distance(s, r) → v
  26. Distance(q, p) → w
  27. Distance(n, g) → z
  28. Distance(d, e) → o_1
  29. Distance(f, h) → s_1
  30. Distance(l, k) → t_1
  31. Distance(j, i) → u_1
  32. Angle(B, A, C) → α
  33. Angle(C, B, A) → β
  34. Angle(A, C, B) → γ
  35. Angle(N, M, R) → δ
  36. Angle(M, R, Q) → ε
  37. Angle(Q, P, O) → ζ
  38. Angle(R, Q, P) → η
  39. Angle(P, O, N) → θ
  40. Angle(O, N, M) → ι
  41. Angle(H, L, K) → κ
  42. Angle(K, J, I) → λ
  43. Angle(L, K, J) → μ
  44. Angle(J, I, H) → ν
  45. Angle(I, H, L) → ξ
  46. Angle(F, E, D) → ο
  47. Angle(E, D, G) → ρ
  48. Angle(D, G, F) → σ
  49. Angle(G, F, E) → τ

AI Drawing Prompt Reference

Draw a regular triangle, square, pentagon, and hexagon. Start by plotting the vertices of each shape, then connect them to form the polygons. Measure the length of each side and the degree of each interior angle.
The prompt above was compiled from the original drawing commands and is for reference only.