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Trapezoids and Polygons Construction

Trapezoids and Polygons Construction
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2017-01-27 21:08
PolygonVectorTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction and properties of trapezoids, kites, and other polygons. It involves core math concepts like polygon definitions, vector operations, parametric equations, and piecewise functions for surface representation. GeoGebra commands such as Line, Intersect, Polygon, Point, Rotate, and Angle are used in the construction process. Suitable for high school mathematics education, helping students understand complex geometric figure construction and 3D vector applications.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Line(D, E) → h
  4. Line(F, G) → i
  5. Intersect(f, h) → H
  6. Intersect(g, h) → I
  7. Intersect(g, i) → J
  8. Intersect(f, i) → K
  9. Polygon(H, I, J, K) → poly1, h_1, i_1, j, k
  10. Line(L, M) → l
  11. Line(N, l) → m
  12. Point(l) → O
  13. Point(l) → P
  14. Rotate(P, (-(125°)), O) → P'
  15. Angle(P', O, P) → α
  16. Rotate(O, 125°, P) → O'
  17. Angle(O, P, O') → β
  18. Line(O, P') → n
  19. Line(P, O') → p
  20. Intersect(m, n) → Q
  21. Intersect(m, p) → R
  22. Polygon(Q, O, P, R) → poly2, q, o, p_1, r