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Interactive Rhombus Demo by Yingxiang Xu

Interactive Rhombus Demo by Yingxiang Xu
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2019-11-28 10:15
PolygonAngleTrigonometryParametric EquationGeometric Construction
This example demonstrates the geometric properties and relationships of a rhombus interactively. It involves core math concepts like equal sides, perpendicular diagonals, angle bisectors, parametric curves, and loci. Construction highlights include commands like Point, Segment, Circle, Intersect, Angle, Distance, and objects such as A, B, C, α, β, etc. Suitable for high school mathematics education to explore rhombus connections with other shapes (trapezoids, cones) and parametric equations applications.

GeoGebra Commands & Parameters

  1. Point(Circle[A, (4 * cm)]) → B
  2. Segment(A, B) → f
  3. Point(Circle[A, (4 * cm)]) → C
  4. Segment(A, C) → g
  5. Circle(C, A) → c
  6. Circle(B, A) → d
  7. Intersect(c, d, 2) → D
  8. Segment(C, D) → h
  9. Segment(B, D) → i
  10. Angle(C, A, B) → α
  11. Angle(B, D, C) → β
  12. Angle(A, B, D) → γ
  13. Angle(D, C, A) → δ
  14. Distance(A, B) → distanceAB
  15. Distance(A, C) → distanceAC
  16. Distance(C, D) → distanceCD
  17. Distance(B, D) → distanceBD
  18. Segment(C, B) → j
  19. Segment(A, D) → k
  20. Angle(k, j) → ε