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Rhombus Exploration by Annie

Rhombus Exploration by Annie
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2016-01-11 10:13
PolygonAngleTrigonometryGeometric Construction
This example demonstrates the geometric properties and calculations of a rhombus, involving core concepts like quadrilaterals, perimeter, diagonals, area, sine and cosine laws, and vectors. It is constructed using GeoGebra commands such as Segment, Circle, Point, Intersect, Slope, Angle, and Distance. Suitable for high school mathematics teaching or geometric exploration.

GeoGebra Commands & Parameters

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