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Parallelogram Investigation by mtorres1

Parallelogram Investigation by mtorres1
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2016-02-17 23:57
PolygonTransformationGeometric Construction
In collections Investigating Parallelogram Sides and Angles
This example demonstrates the properties and exploration of a parallelogram. Key mathematical concepts include the definition and properties of a parallelogram, as well as similarity transformations. Using GeoGebra commands such as Segment, Line, and Point, a dynamic parallelogram can be constructed and its geometric features observed. 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. Distance(F, B) → distanceFB
  38. Distance(D, F) → distanceDF
  39. Distance(F, A) → distanceFA