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Translation Review Exercise 6

Translation Review Exercise 6
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2015-03-03 07:21
Vector
This example demonstrates the basic concepts and applications of translation. By using translation operations, a figure can be moved to another position. Key mathematical concepts include vectors and translation. It uses commands like Polygon, Vector, and Translate in GeoGebra. Suitable for middle or high school students for geometric construction practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Vector(D, F) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Translate(E, u) → E'
  8. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'
  9. Vector(C, C') → v
  10. Vector(B, B') → w
  11. Vector(A, A') → f
  12. Vector(E, E') → g
  13. Polygon(G, H, I, J, K) → poly2, g_1, h, i, j, k
  14. Vector(K, L) → l
  15. Translate(G, l) → G'
  16. Translate(H, l) → H'
  17. Translate(I, l) → I'
  18. Translate(J, l) → J'
  19. Translate(K, l) → K'
  20. Polygon(G', H', I', J', K') → poly2', g', h', i', j', k'
  21. Vector(G, G') → m
  22. Vector(J, J') → n
  23. Vector(H, H') → p
  24. Vector(I, I') → q
  25. Polygon(M, N, O, P, Q) → poly3, m_1, n_1, o, p_1, q_1
  26. Vector(P, R) → r
  27. Translate(M, r) → M'
  28. Translate(N, r) → N'
  29. Translate(O, r) → O'
  30. Translate(P, r) → P'
  31. Translate(Q, r) → Q'
  32. Polygon(M', N', O', P', Q') → poly3', m', n', o', p', q'
  33. Vector(Q, Q') → s
  34. Vector(M, M') → t
  35. Vector(N, N') → u_1
  36. Vector(O, O') → v_1