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Line Segment, Parametric Curves, and Theorems Demo

Line Segment, Parametric Curves, and Theorems Demo
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2015-11-03 06:03
TrigonometryParametric EquationGeometric Construction
This example demonstrates line segment construction, distance calculation, and parametric curves within a trapezoid, involving core concepts like line segments, parametric equations, trapezoids, and polynomial functions. It uses commands such as Segment, Distance, Point, Angle, OrthogonalLine, Intersect, and Midpoint in GeoGebra for geometric construction and calculations, making it suitable for high school mathematics education to explore the connection between geometric theorems and parametric equations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Distance(A, B) → distanceAB
  3. Point(Circle[A, 2.6]) → C
  4. Segment(A, C) → b
  5. Distance(A, C) → distanceAC
  6. Segment(B, D) → c
  7. Distance(B, D) → distanceBD
  8. Point(Circle[C, 3.53]) → E
  9. Segment(C, E) → d
  10. Segment(B, C) → e
  11. Segment(A, E) → f
  12. Distance(C, E) → distanceCE
  13. Angle(f, e) → α
  14. Segment(F, G) → g
  15. Segment(G, H) → h
  16. Segment(H, F) → i
  17. OrthogonalLine(F, h) → j
  18. Angle(h, j) → β
  19. Intersect(j, h) → I
  20. Distance(G, I) → distanceGI
  21. Midpoint(G, I) →
  22. Distance(I, H) → distanceIH
  23. Midpoint(I, H) →
  24. Segment(J, K) → k