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Translation Using Vectors

Translation Using Vectors
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2012-05-01 03:55
VectorTransformationGeometric Construction
This example demonstrates how to use vectors for translation, helping to revise vector concepts. By constructing vectors u and w, and using the Translate command, polygons can be translated. Key mathematical concepts include vectors and similarity transformations. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Vector(F, G) → u
  2. Vector(J, K) → w
  3. Vector(G, J) → v
  4. Translate(J, j) → J'
  5. Translate(K, j) → K'
  6. Vector(J', K') → k
  7. Polygon(A_1, B_1, C_1, D_1, E, H) → poly1, a, b, c, d, e, h_1
  8. Translate(A_1, u) → A'
  9. Translate(B_1, u) → B'
  10. Translate(C_1, u) → C'
  11. Translate(D_1, u) → D'
  12. Translate(E, u) → E'
  13. Translate(H, u) → H'
  14. Polygon(A', B', C', D', E', H') → poly1', a', b', c', d', e', h'
  15. Translate(A', v) → A''
  16. Translate(B', v) → B''
  17. Translate(C', v) → C''
  18. Translate(D', v) → D''
  19. Translate(E', v) → E''
  20. Translate(H', v) → H''
  21. Polygon(A'', B'', C'', D'', E'', H'') → poly1'', a'', b'', c'', d'', e'', h''
  22. Translate(A'', k) → A'''
  23. Translate(B'', k) → B'''
  24. Translate(C'', k) → C'''
  25. Translate(D'', k) → D'''
  26. Translate(E'', k) → E'''
  27. Translate(H'', k) → H'''
  28. Polygon(A''', B''', C''', D''', E''', H''') → poly1''', a''', b''', c''', d''', e''', h'''