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Sliding Trapezoids Activity by refeld

Sliding Trapezoids Activity by refeld
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2017-07-22 01:16
PolygonVectorCoordinate Geometry
This example demonstrates the dynamic transformation of a trapezoid sliding on a plane. Key math concepts include polygons, vectors, geometric transformations, and coordinate geometry. Construction highlights from the summary involve commands like Polygon, Intersect, Vector, Translate, and Segment using GeoGebra objects. Suitable for high school mathematics education to understand geometric transformations and parametric representations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Intersect(xAxis, yAxis) → E
  3. Vector(E, F) → u
  4. Translate(A, u) → A'
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Translate(D, u) → D'
  8. Polygon(A', B', C', D') → poly1', a', b', c', d'
  9. Segment(B, B') → f
  10. Segment(A, A') → g
  11. Segment(D, D') → h
  12. Segment(C, C') → i
  13. Vector(E, G) → v
  14. Translate(A, v) → A'_{1}
  15. Translate(B, v) → B'_{1}
  16. Translate(C, v) → C'_1
  17. Translate(D, v) → D'_1
  18. Polygon(A'_{1}, B'_{1}, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1
  19. Segment(A, A'_{1}) → j
  20. Segment(B, B'_{1}) → k
  21. Segment(C, C'_1) → l
  22. Segment(D, D'_1) → m