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Translation Exploration

Translation Exploration
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2020-03-06 02:48
VectorTransformationGeometric Construction
This example provides a simple investigation into the basics of translation transformations, helping students understand what changes and what remains unchanged. Key mathematical concepts include the fundamental properties of translation. Using commands such as Polygon, Vector, and Translate, students can observe the positional effects of translation on geometric figures. Suitable for middle school and above students for geometric construction practice.

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