Complementary and Supplementary Angles: Quick Recap

GeoGebra Commands & Parameters

1. Rotate(f, pi / 2 - α, E) → f'
2. OrthogonalLine(E, f) → i
3. Angle(i, f) → β
4. Ray(F, G) → n
5. Circle(F, 2) → p
6. Intersect(p, n, 1) → H
7. Rotate(H, α, F) → H'
8. CircleSector(F, H, H') → q
9. Ray(F, H') → r
10. Ray(I, J) → s
11. Circle(I, 2) → t
12. Intersect(t, s, 1) → K
13. Rotate(K, pi / 2 - α, I) → K'
14. Ray(I, K') → b
15. CircleSector(I, K, K') → c_1
16. Line(E, s) → g
17. Point(f) → A
18. Point(g) → B
19. Angle(A, E, B) → γ
20. Dilate(I, If[0 < a ≤ 1, 1 - a, 0], E) → I'
21. Vector(I, I') → u
22. Translate(c_1, u) → c
23. Rotate(c, If[0 < a ≤ 1, (a * ((2 * pi) - γ)), (2 * pi) - γ], I') → c'
24. Point(r) → D
25. Rotate(M, pi / 2 - α, E) → M'
26. Ray(E, M') → k
27. Point(r) → C
28. Angle(C, F, L) → δ
29. Dilate(F, If[1 < a ≤ 2, 2 - a, 0], E) → F'
30. Vector(F, F') → v
31. Translate(q, v) → q'
32. Rotate(q', If[1 < a ≤ 2, ((a - 1) * δ), δ], F') → q''
33. Circle(F, G) → d
34. Circle(I, J) → e
35. Intersect(e, b, 1) → N
36. Intersect(d, r) → O,
37. Vector(F, G) → w
38. Vector(F, O) → j
39. Vector(I, J) → l
40. Vector(I, N) → m
41. RotateText(text1, ((-pi)) / 4) → text2