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Exploring Translations by Mr. Watson (5)

Exploring Translations by Mr. Watson (5)
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2016-02-15 11:12
VectorTransformationGeometric Construction
In collections Geometry Transformations
This example demonstrates the concept of translation. By observing the preimage point A and the corresponding image point A', you can understand the distance and direction of the movement. Commands used include Polygon, Vector, and Translate. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Vector(E, F) → u
  3. Translate(A_1, u) → G
  4. Translate(B_1, u) → H
  5. Translate(C_1, u) → I
  6. Translate(D_1, u) → J
  7. Vector(E, K) → v
  8. Translate(A_1, v) → L
  9. Translate(B_1, v) → M
  10. Translate(C_1, v) → N
  11. Translate(D_1, v) → O
  12. Vector(E, P) → w
  13. Translate(A_1, w) → Q
  14. Translate(B_1, w) → R
  15. Translate(C_1, w) → S
  16. Translate(D_1, w) → T
  17. Translate(A, u) → A'_1
  18. Translate(B, u) → B'_1
  19. Translate(C, u) → C'_1
  20. Translate(D, u) → D'_1
  21. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1', a', b', c', d'
  22. Translate(A_1, u) → U
  23. Translate(B_1, u) → V
  24. Translate(C_1, u) → W
  25. Translate(D_1, u) → Z
  26. Polygon(U, V, W, Z) → poly2, u_1, v_1, w_1, z
  27. Translate(A, v) → A'_2
  28. Translate(B, v) → B'_2
  29. Translate(C, v) → C'_2
  30. Translate(D, v) → D'_2
  31. Polygon(A'_2, B'_2, C'_2, D'_2) → poly1'_1, a'_1, b'_1, c'_1, d'_1
  32. Translate(A_1, v) → E_1
  33. Translate(B_1, v) → F_1
  34. Translate(C_1, v) → G_1
  35. Translate(D_1, v) → H_1
  36. Polygon(E_1, F_1, G_1, H_1) → poly3, e_1, f_1, g_1, h_1
  37. Translate(A, w) → A'_3
  38. Translate(B, w) → B'_3
  39. Translate(C, w) → C'_3
  40. Translate(D, w) → D'_3
  41. Polygon(A'_3, B'_3, C'_3, D'_3) → poly1'_2, a'_2, b'_2, c'_2, d'_2
  42. Translate(A_1, w) → I_1
  43. Translate(B_1, w) → J_1
  44. Translate(C_1, w) → K_1
  45. Translate(D_1, w) → L_1
  46. Polygon(I_1, J_1, K_1, L_1) → poly4, i_1, j_1, k_1, l_1
  47. Translate(A'_3, Vector[(0, 0)]) → A''
  48. Polygon(A_4, B_4, C_4, D_4) → poly1_2, a_2, b_2, c_2, d_2
  49. Polygon(A_3, B_3, C_3, D_3) → poly1_3, a_3, b_3, c_3, d_3
  50. Polygon(A_5, B_5, C_5, D_5) → poly1_4, a_4, b_4, c_4, d_4
  51. Polygon(A_6, B_6, C_6, D_6) → poly1_5, a_5, b_5, c_5, d_5