Practice Solving Angles and Arcs of Chords, Secants, and Tangents in a Circle

GeoGebra Commands & Parameters

1. Circle(O, R) → c
2. Point(c) → A
3. Rotate(A, (-a_1), O) → B
4. Angle(B, O, A) → α
5. CircleArc(O, B, A) → d
6. Rotate(B, (-spacer), O) → C
7. Angle(C, O, B) → β
8. Rotate(C, (-a_2), O) → D
9. Angle(D, O, C) → γ
10. CircleArc(O, D, C) → e
11. Segment(C, A) → a
12. Segment(B, D) → b
13. Intersect(a, b) → E
14. Angle(D, E, C) → δ
15. AngularBisector(A, O, B) → f
16. Intersect(d, f, 1) → A_1
17. AngularBisector(D, E, C) → g
18. Intersect(e, g, 1) → A_2
19. Textfield(ans) → inputBox1
20. Angle(A, E, D) → ε
21. Angle(B, E, A) → ζ
22. Line(O, xAxis) → h
23. Intersect(c, h, 2) → hline
24. Rotate(hline, spacerD, O) → F
25. Angle(hline, O, F) → η
26. Rotate(F, d_1, O) → K
27. Angle(F, O, K) → θ
28. Circle(O, d_3) → k
29. Rotate(F, (-d_4), O) → G
30. Angle(G, O, F) → ι
31. Ray(F, G) → j
32. Intersect(k, j, 1) → H
33. Segment(K, H) → l
34. Intersect(c, l, 2) → J
35. Segment(F, H) → m
36. CircleArc(O, F, K) → p
37. Angle(J, O, G) → κ
38. Angle(F, H, K) → λ
39. CircleArc(O, J, G) → q
40. AngularBisector(G, O, J) → n
41. AngularBisector(F, O, K) → r
42. Intersect(p, r, 1) → D_6
43. Intersect(q, n, 1) → D_7
44. Tangent(F_1, c) → s, t
45. Intersect(c, t) → F_5
46. Rotate(F_5, (-f_1), O) → L'
47. Angle(L', O, F_5) → μ
48. Ray(F_1, L') → b_1
49. Intersect(c, b_1) → M, P
50. Angle(F_5, O, M) → f_2
51. Angle(L', F_1, F_5) → ξ
52. OrthogonalLine(F_5, b_1) → e_1
53. Intersect(c, e_1) → F_2, F_4
54. CircleArc(O, F_2, M) → g_1
55. CircleArc(O, L', F_2) → h_1
56. AngularBisector(F_2, O, M) → i_1
57. Intersect(g_1, i_1) → F_6, L
58. AngularBisector(F_2, O, P) → j_1
59. Intersect(h_1, j_1) → F_7,
60. Segment(F_1, F_2) → k_1
61. Segment(F_1, P) → l_1
62. Ray(F_1, F_2) → m_1