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Parallelogram and Rhombus Demo

Parallelogram and Rhombus Demo
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2016-04-01 20:50
PolygonAngleTrigonometryCalculusGeometric Construction
This example demonstrates the geometric relationships and properties of parallelograms and rhombuses. It involves core mathematical concepts such as parallelograms, rhombuses, intersections, derivatives, integrals, cosine theorem, and linear programming. The construction uses GeoGebra commands like Circle, Point, Segment, Line, Intersect, and Angle. Suitable for high school and above students to understand polygon properties and advanced mathematical applications.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(A, C) → a
  4. Segment(A, B) → b
  5. Line(C, b) → d
  6. Line(B, a) → e
  7. Intersect(d, e) → D
  8. Angle(A, B, D) → α
  9. Angle(B, D, C) → β
  10. Angle(C, A, B) → γ
  11. Angle(D, C, A) → δ
  12. Segment(A, D) → f
  13. Segment(C, B) → g
  14. Intersect(f, g) → E
  15. Segment(E, B) → h
  16. Segment(E, A) → i
  17. Segment(E, D) → j
  18. Segment(E, C) → k
  19. Angle(A, E, C) → ε