Transforming a Kite into a Rectangle to Find Its Area

GeoGebra Commands & Parameters

1. Circle(A, B) → c
2. Circle(C, B) → d
3. Intersect(c, d, 2) → D
4. Polygon(A, B, C) → poly1, c_1, a, b
5. Segment(B, D) → e
6. Intersect(b, e) → E
7. Polygon(A, E, D) → poly2, d_1, a_1, e_1
8. Polygon(E, D, C) → poly3, c_2, e_2, d_2
9. OrthogonalLine(A, b) → f
10. OrthogonalLine(B, e) → g
11. Intersect(f, g) → F
12. Midpoint(c_1) → G
13. Midpoint(e_1) → H
14. Circle(H, D) → h
15. Circle(G, A) → k
16. Rotate(D, transform°, H) → D'
17. Rotate(A, -(transform°), G) → A'
18. Rotate(E, transform°, G) → E'
19. OrthogonalLine(D', e_1) → i
20. OrthogonalLine(A', c_1) → j
21. Segment(F, E) → l
22. OrthogonalLine(E', l) → m
23. Intersect(m, l) → I
24. Intersect(j, c_1) → J
25. Polygon(I, D', J) → poly4, j_1, i_1, d'
26. Intersect(i, e_1) → K
27. Polygon(J, I, K) → poly5, k_1, j_2, i_2
28. OrthogonalLine(C, g) → n
29. Intersect(g, n) → L
30. Midpoint(E, L) → M
31. Midpoint(D, C) → N
32. Circle(N, C) → p
33. Circle(M, C) → q
34. Segment(D, C) → r
35. Rotate(D, -(transform°), N) → D'_1
36. Rotate(C, transform°, M) → C'
37. Rotate(E, -(transform°), M) → E'_1
38. Segment(E, L) → s
39. OrthogonalLine(E'_1, s) → t
40. OrthogonalLine(D'_1, r) → b_1
41. OrthogonalLine(C', a) → f_1
42. Intersect(t, s) → O
43. Intersect(f_1, a) → P
44. Intersect(b_1, r) → Q
45. Polygon(P, O, Q) → poly6, q_1, p_1, o