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Jack Hopping Rhombus Example

Jack Hopping Rhombus Example
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2017-09-23 02:05
PolygonTrigonometryCalculusGeometric ConstructionSlider Animation
This example demonstrates the dynamic process of generating triangles within a rhombus through hopping points. Core math concepts include rhombus properties, trigonometry, linear equations, and calculus concepts like limits and derivatives. Construction highlights involve GeoGebra commands such as Point, Segment, Line, Intersect, Distance, and Angle. Suitable for high school and above learners to explore geometric transformations and function graphs.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 8]) → B
  2. Segment(A, B) → f
  3. Point(Circle[B, 8]) → C
  4. Segment(B, C) → g
  5. Line(C, f) → h
  6. Line(A, g) → i
  7. Intersect(h, i) → D
  8. Segment(A, D) → j
  9. Segment(D, C) → k
  10. Distance(A, B) → distanceAB
  11. Distance(B, C) → distanceBC
  12. Distance(C, D) → distanceCD
  13. Distance(D, A) → distanceDA
  14. Angle(D, A, B) → α
  15. Angle(A, B, C) → β
  16. Angle(B, C, D) → γ
  17. Angle(C, D, A) → δ
  18. Segment(A, C) → l
  19. Segment(B, D) → m
  20. Intersect(l, m) → E
  21. Distance(A, E) → distanceAE
  22. Distance(C, E) → distanceCE
  23. Distance(B, E) → distanceBE
  24. Distance(D, E) → distanceDE
  25. Angle(A, E, D) → ε