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Explore a Rhombus

Explore a Rhombus
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2015-11-09 08:57
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to construct a rhombus using GeoGebra and explore its properties. Core mathematical concepts include polygons, coordinate geometry, trigonometry, and geometric construction. Key construction steps involve commands like Segment, Midpoint, OrthogonalLine, Point, Line, Intersect, Polygon, Angle, and Distance. Suitable for high school mathematics teaching or student-led exploration of geometric properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Midpoint(a) → C
  3. OrthogonalLine(C, a) → b
  4. Point(b) → D
  5. Segment(D, B) → c
  6. Line(A, c) → d
  7. Intersect(d, b) → E
  8. Polygon(D, A, E, B) → poly1, d_1, a_1, e, b_1
  9. Segment(D, E) → f
  10. Angle(E, C, A) → α
  11. Angle(B, D, C) → β
  12. Angle(C, D, A) → γ
  13. Angle(D, A, C) → δ
  14. Angle(C, A, E) → ε
  15. Angle(A, E, C) → ζ
  16. Angle(C, E, B) → η
  17. Angle(C, B, D) → θ
  18. Angle(E, B, C) → ι
  19. Distance(C, A) → distanceCA
  20. Midpoint(C, A) →
  21. Distance(C, E) → distanceCE
  22. Midpoint(C, E) →
  23. Distance(C, D) → distanceCD
  24. Midpoint(C, D) →
  25. Distance(C, B) → distanceCB
  26. Midpoint(C, B) →