Symmetry Lines and Rotational Symmetry of Regular Polygons

GeoGebra Commands & Parameters

1. Point(Circle[A, Size]) → B
2. Segment(A, B) → b
3. Point(Circle[C, Size]) → D
4. Segment(C, D) → c
5. Point(Circle[E, Size]) → F
6. Segment(E, F) → d
7. Point(Circle[G, Size]) → H
8. Segment(G, H) → e
9. Point(Circle[I, Size]) → J
10. Segment(I, J) → f
11. Polygon(A, B, 3) → poly1, g, h, i, K
12. Polygon(C, D, 4) → poly2, j, k, l, m, L, M
13. Polygon(E, F, 5) → poly3, n, p, q, r, s, N, O, P
14. Polygon(G, H, 6) → poly4, t, T, a_1, b_1, c_1, d_1, e_1, Q, R, S
15. Polygon(I, J, 7) → poly5, f_1, W, Z, A_1, g_1, h_1, i_1, j_1, k_1, l_1, U, V
16. LineBisector(l) → m_1
17. LineBisector(k) → n_1
18. LineBisector(r) → p_1
19. LineBisector(q) → q_1
20. LineBisector(p) → r_1
21. LineBisector(d) → s_1
22. LineBisector(s) → t_1
23. Intersect(m_1, l) → B_1
24. Intersect(n_1, k) → C_1
25. Intersect(n_1, m) → D_1
26. Intersect(m_1, c) → E_1
27. Segment(B_1, E_1) → a_2
28. Segment(C_1, D_1) → b_2
29. Intersect(a_2, b_2) → F_1
30. Intersect(l, a_2) → G_1
31. Intersect(p_1, r) → H_1
32. Intersect(q_1, q) → I_1
33. Intersect(r_1, p) → J_1
34. Intersect(s_1, d) → K_1
35. Intersect(t_1, s) → L_1
36. Intersect(p_1, q_1) → M_1
37. Segment(F, H_1) → c_2
38. Segment(O, K_1) → d_2
39. Segment(N, L_1) → e_2
40. Segment(P, J_1) → f_2
41. Segment(E, I_1) → g_2
42. LineBisector(j_1) → h_2
43. LineBisector(i_1) → i_2
44. LineBisector(h_1) → j_2
45. LineBisector(g_1) → k_2
46. LineBisector(f) → l_2
47. LineBisector(l_1) → m_2
48. LineBisector(k_1) → n_2
49. Intersect(h_2, j_1) → N_1
50. Intersect(i_2, i_1) → O_1
51. Intersect(j_2, h_1) → P_1
52. Intersect(k_2, g_1) → Q_1
53. Intersect(h_2, i_2) → R_1
54. Intersect(l_2, f) → S_1
55. Intersect(m_2, l_1) → T_1
56. Intersect(n_2, k_1) → U_1
57. Segment(W, S_1) → p_2
58. Segment(Q_1, Z) → q_2
59. Segment(A_1, P_1) → r_2
60. Segment(I, O_1) → s_2
61. Segment(U, U_1) → t_2
62. Segment(J, N_1) → a_3
63. Segment(V, T_1) → b_3
64. LineBisector(c_1) → c_3
65. LineBisector(b_1) → d_3
66. LineBisector(a_1) → e_3
67. LineBisector(h) → f_3
68. LineBisector(i) → g_3
69. LineBisector(b) → h_3
70. Intersect(f_3, h) → V_1
71. Intersect(h_3, b) → W_1
72. Intersect(g_3, i) → Z_1
73. Intersect(e_3, d_1) → A_2
74. Intersect(c_3, c_1) → B_2
75. Intersect(d_3, b_1) → C_2
76. Intersect(e_3, a_1) → D_2
77. Intersect(c_3, e) → E_2
78. Intersect(d_3, e_1) → F_2
79. Intersect(f_3, g_3) → G_2
80. Intersect(c_3, d_3) → H_2
81. Segment(W_1, K) → i_3
82. Segment(B, Z_1) → j_3
83. Segment(A, V_1) → k_3
84. Segment(E_2, B_2) → l_3
85. Segment(F_2, C_2) → m_3
86. Segment(Q, T) → n_3
87. Segment(D_2, A_2) → p_3
88. Segment(H, S) → q_3
89. Segment(G, R) → r_3
90. Rotate(poly1, α, G_2) → poly1'
91. Rotate(poly2, α, F_1) → poly2'
92. Rotate(poly3, α, M_1) → poly3'
93. Rotate(poly4, α, H_2) → poly4'
94. Rotate(poly5, α, R_1) → poly5'
95. Intersect(l, m) → I_2
96. Intersect(k, l) → J_2
97. Segment(D, I_2) → s_3
98. Segment(C, J_2) → t_3
99. Intersect(d_1, p_3) → K_2
100. Intersect(d_1, e_1) → L_2
101. Intersect(r, s) → M_2
102. Intersect(p, q) → N_2
103. Intersect(q, r) → O_2
104. Intersect(c_1, d_1) → P_2
105. Intersect(b_1, c_1) → Q_2
106. Intersect(a_1, b_1) → R_2
107. Intersect(k_1, l_1) → S_2
108. Intersect(j_1, k_1) → T_2
109. Intersect(h_1, i_1) → U_2
110. Intersect(g_1, h_1) → V_2
111. Intersect(h, i) → W_2
112. Circle(G_2, B) → c_4
113. Circle(F_1, D) → d_4
114. Circle(M_1, F) → e_4
115. Circle(H_2, H) → f_4
116. Circle(R_1, J) → g_4