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Parallelogram Exploration by Amanda

Parallelogram Exploration by Amanda
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2016-01-28 02:54
PolygonVectorCoordinate Geometry
This example demonstrates the properties of a parallelogram. Key mathematical concepts include parallel lines, angles, distances, and vectors. Using GeoGebra commands such as Segment, Line, Point, and Intersect, dynamic construction and exploration of parallelogram properties are possible. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(C, a) → b
  3. Point(b) → D
  4. Segment(B, D) → c
  5. Line(A, c) → d
  6. Intersect(b, d) → E
  7. Segment(A, E) → e
  8. Segment(E, D) → f
  9. Slope(f) → mED
  10. Slope(a) → mAB
  11. Slope(e) → mEA
  12. Slope(c) → mBD
  13. Distance(E, A) → distanceEA
  14. Distance(A, B) → distanceAB
  15. Distance(B, D) → distanceBD
  16. Distance(D, E) → distanceDE
  17. Angle(B, A, E) → α
  18. Angle(A, E, D) → β
  19. Angle(E, D, B) → γ
  20. Angle(D, B, A) → δ
  21. Segment(E, B) → j
  22. Segment(D, A) → k
  23. Intersect(j, k) → F
  24. Angle(E, F, A) → ε
  25. Angle(A, F, B) → ζ
  26. Angle(B, F, D) → η
  27. Angle(D, F, E) → θ
  28. Angle(E, D, F) → ι
  29. Angle(F, E, D) → κ
  30. Angle(D, B, F) → λ
  31. Angle(F, D, B) → μ
  32. Angle(F, B, A) → ν
  33. Angle(B, A, F) → ξ
  34. Angle(F, A, E) → ο
  35. Angle(A, E, F) → ρ
  36. Distance(E, F) → distanceEF
  37. Distance(F, B) → distanceFB
  38. Distance(D, F) → distanceDF
  39. Distance(F, A) → distanceFA