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Translation of a Point by GreenMaths

Translation of a Point by GreenMaths
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2016-02-14 21:14
VectorCoordinate GeometryTransformation
This example demonstrates the translation of a point, linking to coordinate geometry. Using GeoGebra commands such as OrthogonalLine, Translate, Intersect, etc., one can visually understand the translation transformation. Suitable for students at junior high school level and above learning geometric transformations.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → d
  2. Translate(A, u) → A'
  3. OrthogonalLine(A', xAxis) → c
  4. Intersect(d, c) → B_1
  5. Segment(A, B_1) → b
  6. Segment(B, C) → a
  7. Segment(A, A') → f
  8. Point(f) → H
  9. Point(f) → I
  10. Vector(H, I) → z
  11. Point(a) → L
  12. Point(a) → M
  13. Vector(L, M) → v
  14. Vector(A, B_1) → w
  15. Vector(B_1, A') → e
  16. Segment(B_1, A') → g