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Translation Review

Translation Review
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2015-03-14 04:34
VectorFunctionTransformation
This example demonstrates how to use GeoGebra for graphical translation. Key mathematical concepts include vectors and translation transformations. Using commands like Polygon, Vector, and Translate, you can construct the translated shapes. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(C, D) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Vector(B, B') → v
  8. Vector(A, A') → w
  9. Polygon(E, F, G, H) → poly2, e, f, g, h
  10. Vector(E, I) → d
  11. Translate(E, d) → E'
  12. Translate(F, d) → F'
  13. Translate(G, d) → G'
  14. Translate(H, d) → H'
  15. Polygon(E', F', G', H') → poly2', e', f', g', h'
  16. Vector(F, F') → i
  17. Vector(G, G') → j
  18. Vector(H, H') → k
  19. Polygon(J, K, L, M, N) → poly3, j_1, k_1, l, m, n
  20. Vector(M, O) → p
  21. Translate(J, p) → J'
  22. Translate(K, p) → K'
  23. Translate(L, p) → L'
  24. Translate(M, p) → M'
  25. Translate(N, p) → N'
  26. Polygon(J', K', L', M', N') → poly3', j', k', l', m', n'
  27. Vector(L, L') → q
  28. Vector(K, K') → r
  29. Vector(J, J') → s
  30. Vector(N, N') → t
  31. Polygon(P, Q, R, S, T, U) → poly4, p_1, q_1, r_1, s_1, t_1, u_1
  32. Vector(S, V) → v_1
  33. Translate(P, v_1) → P'
  34. Translate(Q, v_1) → Q'
  35. Translate(R, v_1) → R'
  36. Translate(S, v_1) → S'
  37. Translate(T, v_1) → T'
  38. Translate(U, v_1) → U'
  39. Polygon(P', Q', R', S', T', U') → poly4', p', q', r', s', t', u'
  40. Vector(U, U') → w_1
  41. Vector(P, P') → a_1
  42. Vector(Q, Q') → b_1
  43. Vector(R, R') → c_1
  44. Vector(T, T') → d_1

AI Drawing Prompt Reference

Draw a triangle ABC, then translate it using vector CD to A'B'C'. Next, draw a quadrilateral EFGH and translate it using vector EI to E'F'G'H'. Then, draw a pentagon JKLMN and translate it using vector MO to J'K'L'M'N'. Finally, draw a hexagon PQRSTU and translate it using vector SV to P'Q'R'S'T'U'.
The prompt above was compiled from the original drawing commands and is for reference only.