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Parallelogram Investigations-PSG

Parallelogram Investigations-PSG
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2015-12-05 04:10
PolygonAngleGeometric Construction
This example demonstrates the investigation of parallelogram properties. Key mathematical concepts include geometric construction, angles, and segments. Using GeoGebra commands such as Line, Intersect, and Polygon, dynamic construction and analysis of parallelograms are possible. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(C, a) → b
  3. Line(A, C) → c
  4. Line(B, c) → d
  5. Intersect(b, d) → D
  6. Polygon(C, A, B, D) → poly1, c_1, a_1, b_1, d_1
  7. Segment(A, D) → AD
  8. Segment(C, B) → CB
  9. Segment(C, D) → CD
  10. Segment(D, B) → DB
  11. Segment(B, A) → BA
  12. Segment(A, C) → AC
  13. Segment(D, A) → g
  14. Segment(C, B) → h
  15. Angle(g, h) → α
  16. Segment(A, D) → j
  17. Segment(C, B) → k
  18. Angle(B, A, D) → β
  19. Angle(D, A, C) → γ
  20. Angle(A, C, B) → δ
  21. Angle(B, C, D) → ε
  22. Angle(C, D, A) → ζ
  23. Angle(A, D, B) → η
  24. Angle(D, B, C) → θ
  25. Angle(C, B, A) → ι
  26. Intersect(j, k) → E
  27. Segment(E, C) → EC
  28. Segment(E, D) → ED
  29. Segment(E, B) → EB
  30. Segment(E, A) → EA
  31. Line(C, A) → n
  32. Line(A, B) → p
  33. Line(B, D) → q
  34. Line(D, C) → r
  35. Polygon(F, G, H, I) → poly2, f_1, g_1, h_1, i_1
  36. Angle(poly1) → κ, λ, μ, ν