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Translating Trapezoids

Translating Trapezoids
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2015-09-06 09:22
PolygonVectorTrigonometrySolid GeometryGeometric Construction
This example demonstrates the translation of a trapezoid in three-dimensional space. It involves core mathematical concepts such as trapezoids, vectors, 3D geometry, trigonometric functions, and orthocenters. The construction utilizes GeoGebra commands like Intersect, Ray, Vector, Polygon, and Translate. It is suitable for high school and above students learning about 3D geometric transformations and vector applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → E
  2. Ray(E, F) → a
  3. Vector(E, F) → u
  4. Vector(E, F) → v
  5. Polygon(B, A, D, C) → poly1, b, a_1, d, c
  6. Translate(B, v) → B'
  7. Translate(A, v) → A'
  8. Translate(D, v) → D'
  9. Translate(C, v) → C'
  10. Polygon(B', A', D', C') → poly1', b', a', d', c'