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Rhombus Diagonals Bisect Angles

Rhombus Diagonals Bisect Angles
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2017-01-14 05:25
PolygonAngleGeometric Construction
This example demonstrates the property of a rhombus where its diagonals bisect the interior angles. Key math concepts include rhombus properties, the perpendicular bisector relationship of diagonals, and the angle bisector theorem. Construction involves commands like Circle, Point, Intersect, Line, Segment, and Angle in GeoGebra. Suitable for middle school students and geometry education.

GeoGebra Commands & Parameters

  1. Circle(D, A) → d
  2. Circle(A, D) → c
  3. Point(c) → B
  4. Circle(B, A) → e
  5. Intersect(d, e, 2) → C
  6. Line(A, C) → f
  7. Segment(A, B) → g
  8. Segment(B, C) → h
  9. Segment(C, D) → i
  10. Segment(D, A) → j
  11. Segment(A, C) → k
  12. Segment(B, D) → l
  13. Intersect(k, l) → E
  14. Angle(l, k) → α
  15. Angle(A, D, C) → β
  16. Angle(A, B, C) → γ
  17. Angle(B, A, D) → δ
  18. Angle(B, C, D) → ε
  19. Angle(A, B, E) → ζ
  20. Angle(C, B, E) → η
  21. Angle(B, A, E) → θ
  22. Angle(A, D, E) → ι
  23. Angle(D, C, E) → κ
  24. Angle(E, A, D) → λ
  25. Angle(E, D, C) → μ
  26. Angle(E, C, B) → ν
  27. Angle(A, E, D) → ξ