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Trapezoid Construction and Properties by Melissa Patti

Trapezoid Construction and Properties by Melissa Patti
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2015-10-30 07:32
PolygonAngleCoordinate GeometryGeometric Construction
This example dynamically demonstrates the construction and geometric properties of a trapezoid using GeoGebra. It involves core math concepts like polygons, angles, segment lengths, midpoints, angle bisectors, and reflections. Key GeoGebra commands and objects used include Line, Segment, Point, Polygon, LineBisector, Intersect, Mirror, Distance, Midpoint, and Angle. Suitable for high school geometry education to understand basic trapezoid attributes and transformations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Segment(A, C) → c
  4. Point(b) → D
  5. Segment(B, D) → d
  6. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  7. Segment(E, F) → e
  8. Line(G, e) → f
  9. LineBisector(e) → g
  10. Intersect(g, e) → H
  11. Point(f) → I
  12. Segment(E, I) → h
  13. Mirror(E, g) → E'
  14. Mirror(I, g) → I'
  15. Segment(E', I') → h'
  16. Polygon(E, F, I', I) → poly2, e_1, f_1, i', i
  17. Distance(E, I) → distanceEI
  18. Midpoint(E, I) →
  19. Distance(F, I') → distanceFI'
  20. Midpoint(F, I') →
  21. Segment(E, I') → j
  22. Segment(F, I) → k
  23. Distance(E, I') → distanceEI'
  24. Midpoint(E, I') →
  25. Distance(F, I) → distanceFI
  26. Midpoint(F, I) →
  27. Angle(I, E, F) → α
  28. Angle(E, F, I') → β
  29. Angle(F, I', I) → γ
  30. Angle(I', I, E) → δ
  31. Intersect(j, k) → J
  32. Distance(E, J) → distanceEJ
  33. Midpoint(E, J) →
  34. Distance(J, I') → distanceJI'
  35. Midpoint(J, I') →
  36. Distance(F, J) → distanceFJ
  37. Midpoint(F, J) →
  38. Distance(J, I) → distanceJI
  39. Midpoint(J, I) →
  40. Angle(C, A, B) → ε
  41. Angle(A, B, D) → ζ
  42. Angle(B, D, C) → η
  43. Angle(D, C, A) → θ