Midpoints and Quadrilaterals

GeoGebra Commands & Parameters

1. Segment(A, B) → a
2. OrthogonalLine(B, a) → b
3. Circle(B, A) → c
4. Intersect(c, b, 2) → C
5. OrthogonalLine(C, b) → d
6. Circle(C, B) → e
7. Intersect(e, d, 2) → D
8. Segment(B, C) → f
9. Segment(D, C) → g
10. Segment(A, D) → h
11. Midpoint(a) → E
12. Midpoint(f) → F
13. Midpoint(g) → G
14. Midpoint(h) → H
15. Segment(A, F) → i
16. Segment(H, C) → j
17. Segment(E, D) → k
18. Segment(B, G) → l
19. Intersect(i, k) → I
20. Intersect(i, l) → J
21. Intersect(j, l) → K
22. Intersect(j, k) → L
23. Polygon(A, I, L, H) → poly1, a_1, i_1, l_1, h_1
24. Polygon(I, J, K, L) → poly2, i_2, j_1, k_1, l_2
25. Polygon(E, B, J, I) → poly3, e_1, b_1, j_2, i_3
26. Polygon(E, I, A) → poly4, a_2, e_2, i_4
27. Polygon(H, L, D) → poly5, d_1, h_2, l_3
28. Polygon(L, K, G, D) → poly6, l_4, k_2, g_1, d_2
29. Polygon(B, F, J) → poly7, j_3, b_2, f_1
30. Polygon(J, F, C, K) → poly8, j_4, f_2, c_1, k_3
31. Rotate(H, (-α), D) → H'
32. Rotate(L, (-α), D) → L'
33. Rotate(D, (-α), D) → D'
34. Polygon(H', L', D') → poly5', d', h', l'
35. Rotate(G, (-α), C) → G'
36. Rotate(K, (-α), C) → K'
37. Rotate(C, (-α), C) → C'
38. Polygon(G', K', C') → poly9', c', g', k'
39. Rotate(B, (-α), B) → B'
40. Rotate(F, (-α), B) → F'
41. Rotate(J, (-α), B) → J'
42. Polygon(B', F', J') → poly7', j', b', f'
43. Rotate(E, (-α), A) → E'
44. Rotate(I, (-α), A) → I'
45. Rotate(A, (-α), A) → A'
46. Polygon(E', I', A') → poly4', a', e', i'