Regular Polygons by Shelly Baumann

Regular Polygons by Shelly Baumann
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2015-04-14 04:23
This example demonstrates the construction of regular polygons. Key mathematical concepts include properties of polygons, angles, and distances. Using GeoGebra commands such as Polygon, Segment, Distance, and Angle, regular polygons can be constructed. Suitable for middle school and above students to learn polygon 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(b, c) → o
  24. Distance(m, a) → u
  25. Distance(r, s) → v
  26. Distance(p, q) → w
  27. Distance(g, n) → z
  28. Distance(e, d) → o_1
  29. Distance(h, f) → s_1
  30. Distance(k, l) → t_1
  31. Distance(i, j) → 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 using the Polygon command to create a regular triangle centered at point A, a square centered at point D, a pentagon centered at point H, and a hexagon centered at point M. Then, draw the sides of these polygons and 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.