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Parallelogram Exploration by atreitman

Parallelogram Exploration by atreitman
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2016-01-25 23:47
PolygonAngleGeometric Construction
This example demonstrates the properties of a parallelogram. Key mathematical concepts include parallel lines, diagonals, side lengths, and angles. Using GeoGebra commands such as Segment, Line, and Point, dynamic construction and exploration of parallelogram properties are possible. Suitable for middle school and above students or 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) → m
  10. Slope(a) → m_1
  11. Slope(e) → m_2
  12. Slope(c) → m_3
  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. Midpoint(E, F) →
  38. Distance(F, B) → distanceFB
  39. Midpoint(F, B) →
  40. Distance(D, F) → distanceDF
  41. Midpoint(D, F) →
  42. Distance(F, A) → distanceFA
  43. Midpoint(F, A) →