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Exploring Translations by Mr. Watson

Exploring Translations by Mr. Watson
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2016-02-16 01:51
VectorCoordinate GeometryTransformation
In collections Geometry Transformations
This example helps 8-10th grade students understand the concept of translation through geometric transformations on a coordinate grid. Using commands like Polygon, Vector, and Translate, students can observe how points and shapes change under translation. Suitable for beginners to learn the basics of 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