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Parallelogram Problem

Parallelogram Problem
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2017-07-31 21:38
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the basic properties and related problems of a parallelogram. Key mathematical concepts include the definition of a parallelogram, area calculation, and symmetry. Using GeoGebra commands such as Line, Point, Segment, etc., one can construct a parallelogram and explore its geometric properties. Suitable for middle school and above students to learn geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Line(D, A) → a
  2. Line(C_1, a) → b
  3. Point(b) → C
  4. Line(D, C) → c
  5. Line(A, c) → d
  6. Segment(A, C) → e
  7. Intersect(b, d) → B
  8. Segment(C, B) → g
  9. Segment(B, A) → h
  10. OrthogonalLine(D, e) → j
  11. OrthogonalLine(B, e) → k
  12. Intersect(j, e) → F
  13. Segment(D, F) → l
  14. Intersect(k, e) → G
  15. Segment(B, G) → m
  16. Segment(D, G) → n
  17. Segment(F, B) → p
  18. Angle(D, A, C) → α
  19. Angle(C, A, B) → β
  20. Angle(F, B, C) → γ
  21. Angle(G, B, F) → δ
  22. Angle(A, B, G) → ε
  23. Angle(B, C, A) → ζ
  24. Angle(A, C, D) → η
  25. Angle(C, D, F) → θ
  26. Angle(F, D, G) → ι
  27. Angle(G, D, A) → κ
  28. Point(e) → H
  29. Point(n) → I
  30. Point(e) → J
  31. Point(m) → K
  32. Point(l) → L
  33. Point(e) → M
  34. Point(p) → N
  35. Point(e) → O
  36. Angle(H, G, I) → λ
  37. Angle(K, G, H) → μ
  38. Angle(I, G, J) → ν
  39. Angle(M, F, L) → ξ
  40. Angle(O, F, N) → ο
  41. Angle(N, F, M) → ρ
  42. Segment(D, A) → i
  43. Segment(C, D) → f
  44. Distance(D, C) → distanceAD
  45. Distance(A, B) → distanceBE
  46. Distance(D, A) → distanceAB
  47. Distance(C, B) → distanceDE
  48. Distance(D, A) → i_1
  49. Distance(C_1, C) → distanceCD
  50. Angle(F, C, D) → σ
  51. Angle(D, F, C) → τ