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Translation Transformation Exploration

Translation Transformation Exploration
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2018-11-06 01:16
PolygonVectorTransformationGeometric Construction
This example demonstrates the movement规律 of shapes in a translation transformation, involving core math concepts like vectors, polygons, and geometric transformations. Constructed using GeoGebra commands Polygon, Intersect, Vector, Translate, and Segment, it illustrates the correspondence between pre-image and image under translation. Suitable for middle school and above students to understand the basic properties and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Vector(D, E) → u
  4. Translate(A, u) → A'
  5. Translate(B, u) → B'
  6. Translate(C, u) → C'
  7. Polygon(A', B', C') → poly1', c', a', b'
  8. Segment((0, 0), (x(E), 0)) → d
  9. Segment((0, 0), (0, y(E))) → e
  10. Segment(B', B) → f
  11. Segment(A', A) → g
  12. Segment(C', C) → h