Symmetry Axes of a Parallelogram

GeoGebra Commands & Parameters

1. PointIn(j) → B
2. PointIn(j) → D
3. PointIn(j) → C
4. PointIn(j) → A
5. Polygon(A, B, C, D) → poly1, a, b, c, d
6. Midpoint(a) → E
7. Midpoint(c) → F
8. Midpoint(d) → G
9. Midpoint(b) → H
10. Line(E, F) → f
11. Line(G, H) → g
12. Line(A, C) → h
13. Line(D, B) → i_2
14. Circle(H, 1, xOyPlane) → e
15. Circle(B, 1, xOyPlane) → k
16. Circle(E, 1, xOyPlane) → p
17. Circle(C, 1, xOyPlane) → q
18. Intersect(f, p, 1) → I
19. Intersect(i_2, k, 2) → J
20. Intersect(g, e, 2) → K
21. Intersect(h, q, 2) → L
22. Circle(I, 0.5, f) → r
23. Circle(J, 0.5, i_2) → s
24. Circle(K, 0.5, g) → t
25. Circle(L, 0.5, h) → c_1
26. Polygon(E, A, D, F) → poly2, e_1, a_1, d_1, f_1
27. Polygon(E, B, C, F) → poly3, e_2, b_1, c_2, f_2
28. Rotate(B, α, f) → B'
29. Rotate(C, α, f) → C'
30. Polygon(F, C', B', E) → poly4, f_3, c', b', e_3
31. Polygon(G, D, C, H) → poly6, g_1, d_2, c_3, h_1
32. Polygon(H, B, A, G) → poly7, h_2, b_2, a_2, g_2
33. Rotate(C, (-α), g) → C'_1
34. Rotate(D, (-α), g) → D'
35. Polygon(D', G, H, C'_1) → poly8, d', g_3, h_3, c'_1
36. Polygon(D, A, B) → poly9, b_3, d_3, a_3
37. Polygon(D, B, C) → poly10, c_4, d_4, b_4
38. Rotate(C, (-α), i_2) → C'_2
39. Intersect(b, a) → Q
40. Polygon(C'_2, B, D) → poly11, d_5, c'_2, b_5
41. Polygon(A, B, C) → poly12, c_5, a_4, b_6
42. Polygon(A, C, D) → poly13, d_6, a_5, c_6
43. Rotate(D, (-α), h) → D'_1
44. Polygon(D'_1, A, C) → poly14, c_7, d'_1, a_6
45. Intersect(g, f) → R
46. Intersect(i_2, h) → S
47. Mirror(S, B) → S'
48. Mirror(S, C) → S'_1
49. Mirror(R, H) → R'
50. Mirror(R, E) → R'_1
51. Circle(R'_1, 0.25, xOyPlane) → k_1
52. Circle(S', 0.25, xOyPlane) → p_1
53. Circle(R', 0.25, xOyPlane) → q_1
54. Circle(S'_1, 0.25, xOyPlane) → r_1
55. Mirror(L, G) → L'
56. Polygon(L', T, 4, xOyPlane) → poly15, i_1, j_1, l_1, m_1, U, V