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Translation Shape Demo

Translation Shape Demo
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2017-10-30 07:16
VectorCoordinate GeometryGeometric Construction
This example demonstrates the translation transformation of polygons in a coordinate system. It involves core math concepts like vectors, coordinate geometry, and geometric transformations. Key GeoGebra commands used include Polygon, Intersect, Vector, and Translate. Suitable for middle school and above students learning vectors and geometric transformations, or for math teaching demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h_2, i, C, D
  2. Polygon(D, C, 4) → poly2, j, k, l, m, E, F
  3. Polygon(F, E, 4) → poly3, n, p, q, r, G, H
  4. Polygon(H, G, 4) → poly4, s, t, a, b, I, J
  5. Polygon(J, I, 4) → poly5, c, d, e, f_1, K, L
  6. Polygon(K, I, 4) → poly6, g_1, h_1, i_1, j_1, M, N
  7. Polygon(N, M, 4) → poly7, k_1, l_1, m_1, n_1, O, P
  8. Polygon(G, E, 4) → poly8, p_1, q_1, r_1, s_1, Q, R
  9. Polygon(A, L, P, O, I, G, R, Q, E, B) → poly9, a_1, b_1, l_2, p_2, o, i_2, g_2, r_2, q_2, e_1
  10. Intersect(xAxis, yAxis) → S
  11. Vector(S, U) → u
  12. Vector(S, T) → u_1
  13. Translate(A, u_1) → A'
  14. Translate(L, u_1) → L'
  15. Translate(P, u_1) → P'
  16. Translate(O, u_1) → O'
  17. Translate(I, u_1) → I'
  18. Translate(G, u_1) → G'
  19. Translate(R, u_1) → R'
  20. Translate(Q, u_1) → Q'
  21. Translate(E, u_1) → E'
  22. Translate(B, u_1) → B'
  23. Polygon(A', L', P', O', I', G', R', Q', E', B') → poly9', a', b', l', p', o', i', g', r', q', e'
  24. Vector(S, V) → v_1
  25. Translate(A, u) → A''
  26. Translate(L, u) → L'_1
  27. Translate(P, u) → P'_1
  28. Translate(O, u) → O'_1
  29. Translate(I, u) → I'_1
  30. Translate(G, u) → G'_1
  31. Translate(R, u) → R'_1
  32. Translate(Q, u) → Q'_1
  33. Translate(E, u) → E'_1
  34. Translate(B, u) → B''
  35. Polygon(A'', L'_1, P'_1, O'_1, I'_1, G'_1, R'_1, Q'_1, E'_1, B'') → poly9'_1, a'_1, b'_1, l'_1, p'_1, o'_1, i'_1, g'_1, r'_1, q'_1, e'_1
  36. Translate(A, v_1) → A'''
  37. Translate(L, v_1) → L'_2
  38. Translate(P, v_1) → P'_2
  39. Translate(O, v_1) → O'_2
  40. Translate(I, v_1) → I'_2
  41. Translate(G, v_1) → G'_2
  42. Translate(R, v_1) → R'_2
  43. Translate(Q, v_1) → Q'_2
  44. Translate(E, v_1) → E'_2
  45. Translate(B, v_1) → B'''
  46. Polygon(A''', L'_2, P'_2, O'_2, I'_2, G'_2, R'_2, Q'_2, E'_2, B''') → poly9'_2, a'_2, b'_2, l'_2, p'_2, o'_2, i'_2, g'_2, r'_2, q'_2, e'_2
  47. Vector(A, A') → d_1
  48. Vector(A, A'') → t_1
  49. Vector(A, A''') → w_1