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Rhombus Exploration by Codsworth

Rhombus Exploration by Codsworth
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2016-03-17 21:42
PolygonAngleTransformation
This example demonstrates the properties of a rhombus. Key mathematical concepts include the definition of a rhombus, relationships between angles and sides. Using GeoGebra commands such as Circle, Intersect, Polygon, etc., dynamic exploration of the geometric properties of a rhombus is possible. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Circle(A, C) → c
  2. Circle(C, A) → d
  3. Intersect(d, c) → B, D, ,
  4. Polygon(A, D, C, B) → poly1, a, d_1, b, c_1
  5. Angle(A, D, C) → α
  6. Angle(D, C, B) → β
  7. Angle(B, A, D) → γ
  8. Angle(C, B, A) → δ
  9. Segment(A, C) → e
  10. Segment(B, D) → f
  11. Intersect(f, e) → E
  12. Distance(A, E) → distanceAE
  13. Distance(E, C) → distanceEC
  14. Distance(B, E) → distanceBE
  15. Distance(E, D) → distanceED
  16. Angle(E, A, D) → ε
  17. Angle(B, A, E) → ζ
  18. Angle(E, B, A) → η
  19. Angle(C, B, E) → θ
  20. Angle(E, C, B) → ι
  21. Angle(E, D, C) → κ
  22. Angle(A, D, E) → λ
  23. Angle(D, C, E) → μ
  24. Angle(B, E, C) → ν
  25. Angle(C, E, D) → ξ
  26. Slope(a) → m
  27. Slope(b) → m_1
  28. Slope(d_1) → m_2
  29. Slope(c_1) → m_3