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Rhombus and Incircle Demonstration with GeoGebra

Rhombus and Incircle Demonstration with GeoGebra
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2018-02-26 03:27
CirclePolygonAngleTransformationGeometric Construction
This example dynamically demonstrates the properties of a rhombus, particularly the construction of its incircle, using GeoGebra. It involves core mathematical concepts such as polygons, incircles, angles, and matrix transformations. The construction utilizes commands and objects like segments, circles, points, intersections, angles, rotations, and midpoints. Suitable for high school mathematics education to understand the geometric construction and properties of rhombuses and incircles.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Circle(B, A) → c
  3. Point(c) → C
  4. Circle(A, Radius[c]) → d
  5. Circle(C, Radius[c]) → e
  6. Intersect(d, e, 2) → D
  7. Segment(C, B) → g
  8. Segment(C, D) → h
  9. Segment(D, A) → i
  10. Angle(A, B, C) → α
  11. Angle(B, C, D) → β
  12. Angle(C, D, A) → γ
  13. Angle(D, A, B) → δ
  14. Circle(A', f) → k
  15. Point(k) → B'
  16. Circle(B', Radius[k]) → p
  17. Segment(A', B') → j
  18. Rotate(A', α, B') → C'
  19. Angle(A', B', C') → ε
  20. Segment(B', C') → l
  21. Circle(A', l) → q
  22. Circle(C', j) → r
  23. Intersect(q, r, 2) → D'
  24. Segment(C', D') → m
  25. Segment(D', A') → n
  26. Midpoint(A', C') → E
  27. Segment(A', E) → s
  28. Segment(E, B') → t
  29. Segment(E, C') → a
  30. Segment(E, D') → b
  31. Angle(E, A', B') → ζ
  32. Angle(A', B', E) → η
  33. Angle(E, B', C') → θ
  34. Angle(B', C', E) → ι
  35. Angle(E, C', D') → κ
  36. Angle(C', D', E) → λ
  37. Angle(E, D', A') → μ
  38. Angle(D', A', E) → ν
  39. Angle(B', E, A') → ξ