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Rhombus Properties by kjmillikan

Rhombus Properties by kjmillikan
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2014-12-06 05:21
PolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the properties of a rhombus. Key mathematical concepts include the definition of a rhombus, properties of diagonals, and area calculation. Construction highlights the use of Circle, Point, Intersect, Segment, Angle, and Distance commands. Suitable for middle school and above students for geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → D
  3. Circle(D, A) → d
  4. Circle(B, A) → e
  5. Circle(D, A) → f
  6. Intersect(e, d) → D_1, C, ,
  7. Segment(B, C) → a
  8. Segment(C, D) → b
  9. Segment(D, A) → g
  10. Segment(A, B) → h
  11. Segment(C, A) → i
  12. Segment(B, D) → j
  13. Intersect(i, j) → E
  14. Angle(B, C, D) → α
  15. Angle(A, B, C) → β
  16. Angle(D, A, B) → γ
  17. Angle(C, D, A) → δ
  18. Angle(D, E, C) → ε
  19. Angle(C, E, B) → ζ
  20. Angle(B, E, A) → η
  21. Angle(A, E, D) → θ
  22. Angle(B, C, E) → ι
  23. Angle(E, C, D) → κ
  24. Angle(E, B, C) → λ
  25. Angle(A, B, E) → μ
  26. Angle(E, A, B) → ν
  27. Angle(D, A, E) → ξ
  28. Angle(C, D, E) → ο
  29. Angle(E, D, A) → ρ
  30. Distance(C, D) → distanceCD
  31. Distance(B, C) → distanceBC
  32. Distance(B, A) → distanceBA
  33. Distance(A, D) → distanceAD
  34. Distance(C, E) → distanceCE
  35. Distance(D, E) → distanceDE
  36. Distance(B, E) → distanceBE
  37. Distance(A, E) → distanceAE
  38. Distance(C, A) → distanceCA
  39. Distance(B, D) → distanceBD