Rotational Symmetry of a Rhombus

GeoGebra Commands & Parameters

1. Segment(A, B) → a
2. OrthogonalLine(A, a) → b
3. OrthogonalLine(B, a) → c
4. Point(b) → C
5. OrthogonalLine(C, b) → d
6. Intersect(c, d) → D
7. Segment(C, B) → e
8. Segment(D, A) → f
9. Intersect(e, f) → E
10. Segment(K, L) → l
11. Circle(K, L) → p
12. Point(p) → M
13. Segment(K, M) → m
14. Line(M, l) → n
15. Line(L, m) → q
16. Intersect(n, q) → N
17. Segment(M, L) → r
18. Segment(N, K) → s
19. Intersect(r, s) → O
20. Polygon(M, N, L, K) → poly3, m_1, n_1, l_1, k_1
21. Rotate(C, (-α), E) → C'
22. Rotate(D, (-α), E) → D'
23. Rotate(B, (-α), E) → B'
24. Rotate(A, (-α), E) → A'
25. Polygon(C', D', B', A') → poly1', c', d', b', a'
26. Rotate(M, (-α), O) → M'
27. Rotate(N, (-α), O) → N'
28. Rotate(L, (-α), O) → L'
29. Rotate(K, (-α), O) → K'
30. Polygon(M', N', L', K') → poly3', m', n', l', k'
31. Segment(P, Q) → t
32. Segment(P, R) → e_1
33. Line(Q, e_1) → g_1
34. Line(R, t) → h_1
35. Intersect(g_1, h_1) → S
36. Segment(R, Q) → i_1
37. Segment(S, P) → j_1
38. Intersect(i_1, j_1) → T
39. Rotate(P, (-α), T) → P'
40. Rotate(R, (-α), T) → R'
41. Rotate(S, (-α), T) → S'
42. Rotate(Q, (-α), T) → Q'
43. Polygon(P', R', S', Q') → poly4', p', r', s', q'
44. Segment(U, V) → t_1
45. Line(W, t_1) → b_2
46. Point(b_2) → Z
47. Segment(W, V) → d_2
48. Segment(Z, U) → e_2
49. Intersect(d_2, e_2) → A_1
50. Rotate(U, (-α), A_1) → U'
51. Rotate(V, (-α), A_1) → V'
52. Rotate(Z, (-α), A_1) → Z'
53. Rotate(W, (-α), A_1) → W'
54. Polygon(U', V', Z', W') → poly5', u', v', z', w'
55. Line(B_1, C_1) → f_2
56. Mirror(D_1, f_2) → E_1
57. Segment(D_1, E_1) → g_2
58. Intersect(f_2, g_2) → F_1
59. Rotate(D_1, (-α), F_1) → G_1
60. Rotate(B_1, (-α), F_1) → H_1
61. Rotate(E_1, (-α), F_1) → I_1
62. Rotate(C_1, (-α), F_1) → J_1
63. Polygon(G_1, H_1, I_1, J_1) → poly6', g_3, h_2, i_2, j_2
64. Intersect(m, m_1) → H
65. Intersect(m', k') → I