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Trapezoid and Kite Construction

Trapezoid and Kite Construction
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2020-01-24 01:19
PolygonAngleGeometric Construction
This example demonstrates the construction of trapezoids and kites. Key mathematical concepts include the properties of trapezoids and kites. Using GeoGebra commands such as Segment, Line, Distance, Circle, Intersect, and Angle, the construction of trapezoids and kites is illustrated. Suitable for middle and high school students learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(E, F) → k
  2. Line(F, G) → l
  3. Line(E, l) → n
  4. Distance(k, l) → a
  5. Distance(F, G) → distanceFG
  6. Circle(G, k) → c
  7. Intersect(c, n, 2) → H
  8. Segment(G, H) → p
  9. Segment(F, G) → q
  10. Segment(E, H) → r
  11. Angle(F, E, H) → α
  12. Angle(G, H, E) → β
  13. Angle(E, F, G) → γ
  14. Angle(H, G, F) → δ
  15. Intersect(c, r, 2) → I
  16. Segment(G, I) → s
  17. Circle(A, B) → d
  18. Circle(C, D) → e
  19. Intersect(d, e, 1) → J
  20. Intersect(d, e, 2) → K
  21. Segment(A, J) → f
  22. Segment(A, K) → g
  23. Segment(K, C) → h
  24. Segment(C, J) → i
  25. Segment(A, C) → j
  26. Segment(J, K) → m
  27. Intersect(j, m) → L
  28. Angle(A, K, C) → ε
  29. Angle(C, J, A) → ζ
  30. Angle(A, L, K) → η
  31. Segment(M, N) → t
  32. Segment(M, O) → b
  33. Line(N, b) → f_1
  34. Point(f_1) → P
  35. Segment(O, P) → g_1
  36. Segment(N, P) → h_1
  37. Angle(N, M, O) → θ
  38. Angle(M, O, P) → ι
  39. Angle(O, P, N) → κ
  40. Angle(M, N, P) → λ
  41. Segment(N, O) → i_1
  42. Segment(M, P) → j_1
  43. Segment(F, H) → k_1
  44. Segment(G, E) → l_1
  45. Intersect(k_1, l_1) → Q
  46. Angle(J, A, K) → μ
  47. Angle(K, C, J) → ν