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Rhombus Exploration by lfletcher

Rhombus Exploration by lfletcher
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2016-02-19 17:29
PolygonAngleVector
This example demonstrates the geometric properties and characteristics of a rhombus. It involves core mathematical concepts such as polygon, vector, angle, inequality, and geometric construction. Key GeoGebra commands used include Circle, Point, Midpoint, Mirror, Polygon, Angle, and Segment. Suitable for high school mathematics teaching or exploration by geometry enthusiasts.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Midpoint(B, C) → D
  4. Mirror(A, D) → E
  5. Polygon(A, C, E, B) → poly1, a, c_1, e, b
  6. Polygon(A, C, E, B) → poly2, a_1, c_2, e_1, b_1
  7. Angle(B, A, C) → α
  8. Angle(A, C, E) → β
  9. Angle(C, E, B) → γ
  10. Angle(E, B, A) → δ
  11. Segment(A, E) → d
  12. Segment(C, B) → f
  13. Midpoint(B, C) → F
  14. Segment(F, A) → g
  15. Segment(F, C) → h
  16. Segment(F, E) → i
  17. Segment(F, B) → j
  18. Midpoint(B, C) → G
  19. Segment(G, A) → k
  20. Segment(G, C) → l
  21. Segment(G, E) → m
  22. Segment(G, B) → n
  23. Angle(C, G, A) → ε
  24. Angle(A, G, B) → ζ
  25. Angle(B, G, E) → η
  26. Angle(E, G, C) → θ
  27. Segment(E, A) → p
  28. Segment(B, C) → q
  29. Angle(B, A, E) → ι
  30. Angle(E, A, C) → κ
  31. Angle(C, B, A) → λ
  32. Angle(E, B, C) → μ
  33. Angle(C, E, A) → ν
  34. Angle(A, E, B) → ξ
  35. Angle(A, C, B) → ο
  36. Angle(B, C, E) → ρ