Kite Area Formula Demonstration

GeoGebra Commands & Parameters

1. Segment(A, B) → AB
2. LineBisector(AB) → b
3. Point(b) → C
4. Point(b) → D
5. Segment(C, A) → c
6. Segment(D, A) → d
7. Segment(B, D) → e
8. Segment(C, B) → f
9. Intersect(b, AB) → E
10. Polygon(C, E, A) → poly1, a_1, c_1, e_1
11. Polygon(C, E, B) → poly2, b_1, c_2, e_2
12. Polygon(A, E, D) → poly3, d_4, a_2, e_3
13. Polygon(E, B, D) → poly4, d_3, e_4, b_2
14. Midpoint(C, A) → F
15. Midpoint(C, B) → G
16. Midpoint(A, D) → H
17. Midpoint(D, B) → I
18. Rotate(A, rotateΔ, H) → A'
19. Rotate(E, rotateΔ, H) → E'
20. Rotate(D, rotateΔ, H) → D'
21. Polygon(A', E', D') → poly3', d', a', e'
22. Rotate(C, rotateΔ, F) → C'
23. Rotate(E, rotateΔ, F) → E'_1
24. Rotate(A, rotateΔ, F) → A'_1
25. Polygon(C', E'_1, A'_1) → poly1', a'_1, c', e'_1
26. Rotate(C, rotateΔ, G) → C'_1
27. Rotate(E, rotateΔ, G) → E'_2
28. Rotate(B, rotateΔ, G) → B'
29. Polygon(C'_1, E'_2, B') → poly2', b', c'_1, e'_2
30. Rotate(E, rotateΔ, I) → E'_3
31. Rotate(B, rotateΔ, I) → B'_1
32. Rotate(D, rotateΔ, I) → D'_1
33. Polygon(E'_3, B'_1, D'_1) → poly4', d'_1, e'_3, b'_1
34. Segment(D, C) → CD
35. Midpoint(A, E) → J
36. Midpoint(D, C) → K
37. Angle(C, E, A) → α
38. Midpoint(E, B) → L
39. Segment(A, E) → a
40. Segment(E, B) → g
41. Segment(C, E) → i
42. Segment(D, E) → j
43. Polygon(D, C, A) → poly5, a_3, d_5, c_3
44. Polygon(D, C, B) → poly6, b_3, d_6, c_4