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Rhombus Construction and Properties by Anthony Nelson Irizarry Bonet

Rhombus Construction and Properties by Anthony Nelson Irizarry Bonet
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2015-02-20 04:06
PolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the construction of a rhombus and its geometric properties, including side lengths, angles, and diagonal relationships. Key math concepts involve polygons, coordinate geometry, angles, and distance calculations. The construction uses commands like Point, Segment, Line, Intersect, Distance, and Angle. Suitable for high school mathematics teaching or geometric construction learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 7]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 7]) → C
  4. Segment(A, C) → b
  5. Line(C, a) → c
  6. Line(B, b) → d
  7. Intersect(c, d) → D
  8. Segment(C, D) → e
  9. Segment(D, B) → f
  10. Segment(C, B) → g
  11. Segment(A, D) → h
  12. Intersect(g, h) → E
  13. Distance(C, E) → distanceCE
  14. Distance(A, E) → distanceAE
  15. Distance(B, E) → distanceBE
  16. Distance(D, E) → distanceDE
  17. Angle(A, C, E) → α
  18. Angle(E, C, D) → β
  19. Angle(C, D, E) → γ
  20. Angle(E, D, B) → δ
  21. Angle(D, B, E) → ε
  22. Angle(E, B, A) → ζ
  23. Angle(B, A, E) → η
  24. Angle(E, A, C) → θ
  25. Angle(D, E, C) → ι
  26. Angle(B, E, D) → κ
  27. Angle(A, E, B) → λ
  28. Angle(C, E, A) → μ