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Vector Translation Visualization

Vector Translation Visualization
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2016-03-14 05:19
VectorCoordinate GeometryGeometric Construction
This example demonstrates vector translation in a coordinate system, showing how shapes move when adjusting the vector's start and end points dynamically. Core math concepts include vectors, coordinate transformations, and geometric translations. Constructed using GeoGebra commands like Line, Point, Polygon, Vector, Translate, OrthogonalLine, Intersect, and Segment. Suitable for high school students learning vector translation principles and applications.

GeoGebra Commands & Parameters

  1. Line(L1, L2) → a
  2. Point(a) → A
  3. Point(a) → B
  4. Polygon(A, B, C) → poly1, f, d, e
  5. Vector(X, Y) → u
  6. Translate(A, u) → A'_1
  7. Line(A'_1, a) → b
  8. Translate(B, u) → B'
  9. Translate(C, u) → C'
  10. Translate(A, u) → A'
  11. Vector(A, A') → v
  12. Translate(B, u) → E'_1
  13. Vector(B, E'_1) → w
  14. Translate(C, u) → F'_1
  15. Vector(C, F'_1) → c
  16. Polygon(A'_1, B', C') → poly2, f', d', e'
  17. Line(X, D) → g
  18. OrthogonalLine(Y, g) → h
  19. Intersect(g, h) → E
  20. Segment(X, E) → i
  21. Segment(Y, E) → j
  22. Line(A, i) → k
  23. OrthogonalLine(A', k) → l
  24. Intersect(k, l) → F
  25. Segment(A, F) → m
  26. Segment(A', F) → n