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Isosceles Trapezoid Properties

Isosceles Trapezoid Properties
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2019-06-27 04:13
PolygonAngleGeometric Construction
This example demonstrates the geometric properties of an isosceles trapezoid, including congruent diagonals and base angles. It involves commands like Circle, Line, Intersect, Segment, Distance, Midpoint, and Angle to construct the figure. Suitable for high school students to explore and verify theorems about isosceles trapezoids and enhance understanding of polygon properties.

GeoGebra Commands & Parameters

  1. Circle(A_1, B) → c
  2. Circle(A_1, C) → d
  3. Line(A_1, B) → a
  4. Line(A_1, C) → b
  5. Intersect(c, b, 1) → A
  6. Segment(A, B) → e
  7. Intersect(d, a, 1) → D
  8. Segment(A, D) → f
  9. Segment(D, C) → g
  10. Segment(C, B) → h
  11. Distance(A, B) → distanceAB
  12. Midpoint(A, B) →
  13. Distance(B, C) → distanceBC
  14. Midpoint(B, C) →
  15. Distance(C, D) → distanceCD
  16. Midpoint(C, D) →
  17. Distance(A, D) → distanceAD
  18. Midpoint(A, D) →
  19. Angle(D, A, B) → α
  20. Angle(A, B, C) → β
  21. Angle(B, C, D) → γ
  22. Angle(C, D, A) → δ
  23. Segment(D, B) → k
  24. Segment(A, C) → l
  25. Distance(B, D) → distanceBD
  26. Midpoint(B, D) →
  27. Distance(A, C) → distanceAC
  28. Midpoint(A, C) →
  29. Intersect(k, l) → E
  30. Distance(A, E) → distanceAE
  31. Midpoint(A, E) →
  32. Distance(B, E) → distanceBE
  33. Midpoint(B, E) →
  34. Distance(C, E) → distanceCE
  35. Midpoint(C, E) →
  36. Distance(D, E) → distanceDE
  37. Midpoint(D, E) →
  38. Segment(A, C) → n
  39. Segment(B, D) → p
  40. Intersect(n, p) → F
  41. Angle(A, F, B) → ε
  42. Angle(B, F, C) → ζ
  43. Angle(A, D, F) → η
  44. Angle(F, D, C) → θ
  45. Angle(D, A, F) → ι
  46. Angle(F, A, B) → κ
  47. Angle(A, B, F) → λ
  48. Angle(F, B, C) → μ
  49. Angle(B, C, F) → ν
  50. Angle(D, C, F) → ξ