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Trapezoid Properties Investigation by Sara Anne Thomas

Trapezoid Properties Investigation by Sara Anne Thomas
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2015-10-20 04:49
PolygonAngleGeometric Construction
In collections Adv Geo: Kites, Trapezoids, and Isosceles Trapezoids Adv Geo: Kites, Trapezoids, and Isosceles Trapezoids
This example demonstrates the properties of trapezoids, including parallel sides, diagonals, angles, distances, and slopes. It uses GeoGebra commands like Line, OrthogonalLine, Point, Circle, Intersect, CircleArc, Segment, Angle, Distance, Slope, Midpoint. Suitable for middle school and above students for geometry learning and exploration.

GeoGebra Commands & Parameters

  1. Line(H, I) → q
  2. OrthogonalLine(H, q) → r
  3. OrthogonalLine(I, q) → s
  4. Point(q) → J
  5. Circle(H, J) → t
  6. Intersect(t, r, 2) → K
  7. CircleArc(H, J, K) → c_1
  8. Point(c_1) → L
  9. Line(L, q) → a_1
  10. Intersect(a_1, s) → M
  11. Segment(L, M) → b_1
  12. Point(b_1) → N
  13. Segment(H, L) → d_1
  14. Segment(L, N) → e_1
  15. Segment(N, I) → f_1
  16. Segment(H, I) → g_1
  17. Angle(N, I, H) → ν
  18. Angle(I, H, L) → ξ
  19. Angle(H, L, N) → ο
  20. Angle(L, N, I) → ρ
  21. Distance(H, L) → distanceHL
  22. Distance(L, N) → distanceLN
  23. Distance(N, I) → distanceNI
  24. Distance(I, H) → distanceIH
  25. Slope(e_1) → m_2
  26. Slope(g_1) → m_3
  27. Segment(L, I) → h_1
  28. Segment(N, H) → i_1
  29. Intersect(h_1, i_1) → O
  30. Angle(H, L, O) → υ
  31. Angle(O, L, N) → ϕ
  32. Angle(L, N, O) → χ
  33. Angle(N, I, O) → ψ
  34. Angle(O, N, I) → ω
  35. Angle(O, I, H) → α_1
  36. Angle(I, H, O) → β_1
  37. Angle(O, H, L) → γ_1
  38. Distance(L, O) → distanceLO
  39. Distance(O, N) → distanceON
  40. Distance(O, I) → distanceOI
  41. Distance(O, H) → distanceOH
  42. Distance(L, I) → distanceLI
  43. Distance(N, H) → distanceNH
  44. Angle(L, O, H) → δ_1
  45. Angle(N, O, L) → ε_1
  46. Slope(f_1) → m
  47. Slope(d_1) → m_1
  48. Midpoint(d_1) → A
  49. Midpoint(f_1) → B
  50. Segment(A, B) → f
  51. Distance(A, B) → distanceAB
  52. Slope(f) → m_4