Rotations and Reflection Symmetry

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Point(xAxis) → B
3. Vector(A, B) → u
4. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
5. Segment(D, B) → e
6. Segment(A, C) → f
7. Intersect(e, f) → O
8. Circle(O, B) → g
9. Point(g) → E
10. Line(E, O) → h
11. Intersect(g, h, 2) → F
12. CircleSector(O, F, E) → OpaqueSemiC
13. Mirror(list0, h) → list0'
14. Translate(plaid, v) → plaid'
15. Translate(O, v) → O'
16. Translate(g, v) → g'
17. Translate(A, v) → A'
18. Rotate(A', (-α), O') → A''
19. Angle(A'', O', A') → β
20. Segment(A', O') → i
21. Segment(A'', O') → j
22. Rotate(plaid', (-α), O') → plaid''
23. Translate(pic1, v) → pic1'
24. Rotate(pic1', (-α), O') → pic1''
25. Mirror(list1, h) → list1'
26. Translate(h, v) → h'
27. Point(h') → H
28. Point(h') → I
29. Translate(I, v) → I'
30. Point(h) → J
31. Point(h) → K
32. Segment(J, K) → l
33. Translate(J, v) → J'
34. Translate(K, v) → K'
35. Segment(J', K') → l'
36. Translate(pic2, v) → pic2'
37. Rotate(pic2', (-α), O') → pic2''
38. Mirror(list2, h) → list2'
39. Translate(pic3, v) → pic3'
40. Rotate(pic3', (-α), O') → pic3''
41. Mirror(list3, h) → list3'
42. Translate(pic4, v) → pic4'
43. Rotate(pic4', (-α), O') → pic4''
44. Mirror(list4, h) → list4'
45. Translate(pic5, v) → pic5'
46. Rotate(pic5', (-α), O') → pic5''
47. Mirror(list5, h) → list5'
48. Translate(pic6, v) → pic6'
49. Rotate(pic6', (-α), O') → pic6''
50. Mirror(list6, h) → list6'
51. Translate(pic7, v) → pic7'
52. Rotate(pic7', (-α), O') → pic7''
53. Mirror(list7, h) → list7'
54. Translate(pic8, v) → pic8'
55. Rotate(pic8', (-α), O') → pic8''
56. Mirror(list8, h) → list8'
57. Translate(pic9, v) → pic9'
58. Rotate(pic9', (-α), O') → pic9''
59. Mirror(list9, h) → list9'
60. Translate(pic10, v) → pic10'
61. Rotate(pic10', (-α), O') → pic10''
62. Mirror(list10, h) → list10'
63. Translate(pic11, v) → pic11'
64. Rotate(pic11', (-α), O') → pic11''
65. Mirror(list11, h) → list11'
66. Translate(pic12, v) → pic12'
67. Rotate(pic12', (-α), O') → pic12''
68. Mirror(list12, h) → list12'
69. Translate(pic13, v) → pic13'
70. Rotate(pic13', (-α), O') → pic13''
71. Mirror(list13, h) → list13'
72. Translate(pic14, v) → pic14'
73. Rotate(pic14', (-α), O') → pic14''
74. Mirror(list14, h) → list14'
75. Translate(pic15, v) → pic15'
76. Rotate(pic15', (-α), O') → pic15''
77. Mirror(list15, h) → list15'
78. Translate(pic16, v) → pic16'
79. Rotate(pic16', (-α), O') → pic16''
80. Mirror(list16, h) → list16'