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Rhombus Properties Demo by Michael Rach

Rhombus Properties Demo by Michael Rach
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2018-11-01 20:27
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a rhombus, including side lengths, angles, and diagonal relationships. It involves core math concepts like polygons, triangles, trigonometry, and coordinate geometry. Construction highlights include using GeoGebra commands such as Circle, Point, Intersect, Polygon, Angle, Segment, Distance, Midpoint, and PointIn to build and analyze the rhombus. Suitable for high school mathematics teaching or geometric construction learning.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Circle(B, A) → d
  4. Circle(C, A) → e
  5. Intersect(d, e, 2) → D
  6. Polygon(A, C, D, B) → q1, a, c_1, d_1, b
  7. Angle(C, D, B) → α
  8. Angle(D, B, A) → β
  9. Angle(B, A, C) → γ
  10. Angle(A, C, D) → δ
  11. Segment(C, B) → f
  12. Segment(D, A) → g
  13. Intersect(f, g) → E
  14. Angle(B, E, D) → ε
  15. Angle(B, A, E) → ζ
  16. Angle(E, A, C) → η
  17. Angle(A, C, E) → θ
  18. Angle(E, C, D) → ι
  19. Angle(C, D, E) → κ
  20. Angle(E, D, B) → λ
  21. Angle(D, B, E) → μ
  22. Angle(E, B, A) → ν
  23. Distance(A, E) → distanceAE
  24. Midpoint(A, E) →
  25. Distance(E, D) → distanceED
  26. Midpoint(E, D) →
  27. Distance(E, C) → distanceEC
  28. Midpoint(E, C) →
  29. Distance(E, B) → distanceEB
  30. Midpoint(E, B) →
  31. PointIn(q1) → Pointq1