Finding Area by Decomposing and Rearranging by GeoGebra Classroom Activities

GeoGebra Commands & Parameters

1. Point(Circle[A, 3]) → B
2. Segment(A, B) → f
3. Rotate(B, 90°, A) → B'
4. Angle(B, A, B') → α
5. Polygon(B, A, B') → poly1, b', b, a
6. Point(Circle[C, 3]) → D
7. Segment(C, D) → g
8. Rotate(C, 45°, D) → C'
9. Angle(C, D, C') → β
10. Rotate(D, (-(45°)), C) → D'
11. Angle(D', C, D) → γ
12. Segment(C, D') → h
13. Segment(D, C') → i
14. Segment(D, C) → j
15. Rotate(D, (-(135°)), C) → D'_1
16. Angle(D'_1, C, D) → δ
17. Segment(C, D'_1) → k
18. Intersect(h, i) → E
19. Point(Circle[G, 3]) → H
20. Segment(G, H) → m
21. Rotate(G, 45°, H) → G'
22. Angle(G, H, G') → ε
23. Rotate(H, (-(45°)), G) → H'
24. Angle(H', G, H) → ζ
25. Segment(G, H') → n
26. Segment(H, G') → p
27. Intersect(n, p) → I
28. Polygon(G, H, I) → poly3, i_1, g_1, h_1
29. Point(Circle[J, g_1]) → K
30. Segment(J, K) → q
31. Polygon(J, K, 4) → poly4, r, s, t, j_1, L, M
32. Point(Circle[N, g_1]) → O
33. Segment(N, O) → k_1
34. Rotate(O, 90°, N) → O'
35. Angle(O, N, O') → η
36. Polygon(O, O', N) → poly5, n_1, o, o'
37. Point(Circle[P, 6]) → Q
38. Segment(P, Q) → l_1
39. Point(Circle[R, 6]) → S
40. Segment(R, S) → m_1
41. Rotate(Q, 45°, P) → Q'
42. Angle(Q, P, Q') → θ
43. Rotate(S, 45°, R) → S'
44. Angle(S, R, S') → ι
45. Rotate(P, (-(45°)), Q) → P'
46. Angle(P', Q, P) → κ
47. Rotate(R, (-(45°)), S) → R'
48. Angle(R', S, R) → λ
49. Segment(P, Q') → p_1
50. Segment(Q, P') → q_1
51. Segment(S, R') → r_1
52. Segment(R, S') → s_1
53. Intersect(p_1, q_1) → T
54. Intersect(r_1, s_1) → U
55. Polygon(U, R, S) → poly6, s_2, u, r_2
56. Polygon(P, Q, T) → poly7, t_1, p_2, q_2
57. Polygon(C, E, D) → poly8, d_1, c_1, e_1
58. Circle(F, 3) → c
59. Point(c) → V
60. Rotate(V, (-(45°)), F) → V'
61. Segment(F, V') → l
62. OrthogonalLine(V, l) → d
63. Intersect(d, l) → W
64. Polygon(V, F, W) → poly2, w, v, f_1