Similar Triangles 1

GeoGebra Commands & Parameters

1. Mirror(G, F) → G'
2. Ray(F, G') → l
3. Point(l) → J
4. Polygon(F, G, H) → poly2, h_1, f_1, g_1
5. Ray(A, B) → f
6. Ray(A, C) → g
7. Point(g) → D
8. Point(f) → E
9. Polygon(C, A, B) → poly1, b, c, a_2
10. Segment(D, A) → h
11. Segment(E, A) → i
12. Segment(D, E) → j
13. Mirror(H, F) → H'
14. Ray(F, H') → k
15. Segment(I, F) → m
16. Segment(F, J) → n
17. Segment(J, I) → p
18. Polygon(A, D, E) → poly3, e, a_1, d
19. Polygon(F, J, I) → poly4, i_1, f_2, j_1
20. Polygon(K, L, M) → poly5, m_1, k_1, l_1
21. Dilate(M, o, M) → M'
22. Dilate(K, o, Scale) → K'
23. Dilate(L, o, Scale) → L'
24. Dilate(M, o, Scale) → M'_1
25. Polygon(K', L', M'_1) → poly5', m'_1, k', l'
26. Segment(O, P) → q
27. Segment(O, Q) → r
28. Segment(P, Q) → s
29. Dilate(O, 1 / 3, Q) → O'
30. Line(O', s) → t
31. Intersect(q, t) → R
32. Segment(R, O') → n_1
33. Segment(O, O') → p_1
34. Segment(O', Q) → q_1
35. Segment(R, P) → r_1
36. Segment(R, O) → s_1
37. Line(A, C) → t_1
38. Line(A, B) → b_1
39. Line(F, p) → c_1
40. Line(G, m) → d_1
41. Intersect(d_1, c_1) → S
42. Segment(T, U) → e_1
43. Segment(U, V) → g_2
44. Segment(V, T) → h_2
45. OrthogonalLine(T, g_2) → i_2
46. Angle(T, U, V) → α
47. Angle(V, T, U) → β
48. Angle(U, V, T) → γ