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Rhombus and Circumcircle Construction

Rhombus and Circumcircle Construction
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2015-10-28 09:38
CirclePolygonGeometric Construction
This example demonstrates the geometric construction of a rhombus and its circumcircle using GeoGebra, analyzing related properties such as symmetry, circle construction, angle and slope relationships, and limit concepts. Key GeoGebra commands/objects used include Segment, Circle, Point, Line, Intersect, Polygon, and Angle. Suitable for high school mathematics teaching, this tool aids in geometric construction practice and concept deepening.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(A, C) → b
  5. Line(B, b) → d
  6. Line(C, a) → e
  7. Intersect(e, d) → D
  8. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  9. Segment(A, D) → f
  10. Segment(C, B) → g
  11. Angle(D, C, B) → α
  12. Intersect(g, f) → E
  13. Angle(E, C, A) → β
  14. Angle(C, A, E) → γ
  15. Angle(E, A, B) → δ
  16. Angle(E, B, A) → ε
  17. Angle(E, B, D) → ζ
  18. Angle(E, D, B) → η
  19. Angle(C, D, E) → θ
  20. Angle(C, E, D) → ι
  21. Angle(C, E, A) → κ
  22. Angle(A, E, B) → λ
  23. Angle(D, E, B) → μ