MathPlotAI Logo MathPlotAI

Square Reflections

Square Reflections
Loading the math board and drawing, please wait…
2017-04-06 05:23
PolygonTransformationGeometric Construction
This example demonstrates the dynamic process of square reflections, involving core math concepts like reflection, square, straight lines, geometric constructions, incircle, translation, and normal distribution. It utilizes GeoGebra commands and objects such as Polygon, Line, and Mirror as summarized in the construction commands. Suitable for high school and above, combining geometric transformations with probability & statistics applications.

GeoGebra Commands & Parameters

  1. Polygon(A01, C, 4) → sq01, f, g_5, h, i, D, E
  2. Polygon(A02, G, 4) → sq02, j, k, l, m, H, I
  3. Polygon(A05, K, 4) → sq05, p, q, r, s, L, M
  4. Polygon(A06, O, 4) → sq06, t, a, b_4, c, P, Q
  5. Polygon(A07, S, 4) → sq07, d, e, f_1, g_1, T, U
  6. Polygon(A08, W, 4) → sq08, h_1, i_1, j_1, k_1, Z, A_1
  7. Polygon(A09, C_1, 4) → sq09, l_1, m_1, n_1, p_1, D_1, E_1
  8. Polygon(A10, G_1, 4) → sq10, q_1, r_1, s_1, t_1, H_1, I_1
  9. Polygon(A11, K_1, 4) → sq11, a_1, b_1, c_1, d_1, L_1, M_1
  10. Polygon(A12, O_1, 4) → sq12, e_1, f_2, g_2, h_2, P_1, Q_1
  11. Polygon(A13, S_1, 4) → sq13, i_2, j_2, k_2, l_2, T_1, U_1
  12. Polygon(A14, W_1, 4) → sq14, m_2, n_2, p_2, q_2, Z_1, A_2
  13. Polygon(A15, C_2, 4) → sq15, r_2, s_2, t_2, a_2, D_2, E_2
  14. Polygon(A16, G_2, 4) → sq16, b_2, c_2, d_2, e_2, H_2, I_2
  15. Polygon(A17, K_2, 4) → sq17, f_3, g_3, h_3, i_3, L_2, M_2
  16. Polygon(A18, O_2, 4) → sq18, j_3, k_3, l_3, m_3, P_2, Q_2
  17. Polygon(A19, S_2, 4) → sq19, n_3, p_3, q_3, r_3, T_2, U_2
  18. Polygon(A20, W_2, 4) → sq20, s_3, t_3, a_3, b_3, Z_2, A_3
  19. Polygon(A03, C_3, 4) → sq03, c_3, d_3, e_3, f_4, D_3, E_3
  20. Polygon(A04, G_3, 4) → sq04, g_4, h_4, i_4, j_4, H_3, I_3
  21. Line(B, F) → k_4
  22. Mirror(sq01, k_4) → sq01'
  23. Mirror(sq02, k_4) → sq02'
  24. Mirror(sq03, k_4) → sq03'
  25. Mirror(sq04, k_4) → sq04'
  26. Mirror(sq05, k_4) → sq05'
  27. Mirror(sq06, k_4) → sq06'
  28. Mirror(sq07, k_4) → sq07'
  29. Mirror(sq08, k_4) → sq08'
  30. Mirror(sq09, k_4) → sq09'
  31. Mirror(sq10, k_4) → sq10'
  32. Mirror(sq11, k_4) → sq11'
  33. Mirror(sq12, k_4) → sq12'
  34. Mirror(sq13, k_4) → sq13'
  35. Mirror(sq14, k_4) → sq14'
  36. Mirror(sq15, k_4) → sq15'
  37. Mirror(sq16, k_4) → sq16'
  38. Mirror(sq17, k_4) → sq17'
  39. Mirror(sq18, k_4) → sq18'
  40. Mirror(sq19, k_4) → sq19'
  41. Mirror(sq20, k_4) → sq20'
  42. Line(J, N) → l_4
  43. Mirror(sq01', l_4) → sq01''
  44. Mirror(sq02', l_4) → sq02''
  45. Mirror(sq03', l_4) → sq03''
  46. Mirror(sq04', l_4) → sq04''
  47. Mirror(sq05', l_4) → sq05''
  48. Mirror(sq06', l_4) → sq06''
  49. Mirror(sq07', l_4) → sq07''
  50. Mirror(sq08', l_4) → sq08''
  51. Mirror(sq09', l_4) → sq09''
  52. Mirror(sq10', l_4) → sq10''
  53. Mirror(sq11', l_4) → sq11''
  54. Mirror(sq12', l_4) → sq12''
  55. Mirror(sq13', l_4) → sq13''
  56. Mirror(sq14', l_4) → sq14''
  57. Mirror(sq15', l_4) → sq15''
  58. Mirror(sq16', l_4) → sq16''
  59. Mirror(sq17', l_4) → sq17''
  60. Mirror(sq18', l_4) → sq18''
  61. Mirror(sq19', l_4) → sq19''
  62. Mirror(sq20', l_4) → sq20''