Translation and Rotation

Translation and Rotation
Loading the math board and drawing, please wait…
2020-09-23 21:07
This example demonstrates the concepts of translation and rotation. Using Vector and Rotate commands, dynamic geometric figures can be created. The commands used include Vector, Translate, Polygon, Segment, Angle, and Point. Suitable for middle school and above students to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Vector(E, F) → a_{1}
  2. Vector(S, T) → u
  3. Vector(U, V) → v
  4. Vector(W, Z) → w
  5. Vector(A_1, B_1) → a
  6. Translate(pic4, a_{1}) → pic4'
  7. Translate(pic5, u) → pic5'
  8. Translate(pic3, v) → pic3'
  9. Translate(pic6, w) → pic6'
  10. Translate(pic8, a) → pic8'
  11. Translate(pic7, a) → pic7'
  12. Vector(W_{1}, Z_{1}) → w_{1}
  13. Translate(pic6_{1}, w_{1}) → pic6'_{1}
  14. Vector(A_{2}, B_{2}) → a_{2}
  15. Translate(pic8_{1}, a_{2}) → pic8'_{1}
  16. Translate(pic7_{1}, a_{2}) → pic7'_{1}
  17. Vector(U_{1}, V_{1}) → v_{1}
  18. Translate(pic3_{1}, v_{1}) → pic3'_{1}
  19. Vector(E_{1}, F_{1}) → a_{3}
  20. Translate(pic4_{1}, a_{3}) → pic4'_{1}
  21. Vector(S_{1}, T_{1}) → u_{1}
  22. Translate(pic5_{1}, u_{1}) → pic5'_{1}
  23. Polygon(C_1, D_1, G_1, H_1) → q1, c_1, d_1, g_1, h_1
  24. Polygon(C_{2}, D_{2}, G_{2}, H_{2}) → q1_{1}, c_{2}, d_{2}, g_{2}, h_{2}
  25. Segment(K_1, E') → cm
  26. Segment(A', B') → f
  27. Segment(C', B') → g
  28. Segment(P_1, Q_1) → i
  29. Segment(R_1, Q_1) → j
  30. Segment(E_2, F_2) → k
  31. Vector(I_2, J_2) → b
  32. Vector(I_1, J_1) → c
  33. Angle(R_1, Q_1, P_1) → α
  34. Translate(P_1, c) → L_1
  35. Translate(Q_1, c) → M_1
  36. Segment(L_1, M_1) → i'
  37. Translate(R_1, c) → N_1
  38. Translate(Q_1, c) → O_1
  39. Segment(N_1, O_1) → j'
  40. Segment(O_2, P_2) → h
  41. Point(h) → Q_2
  42. Point(h) → K_2
  43. Segment(O_{3}, P_{3}) → h_{3}
  44. Point(h_{3}) → Q_{3}
  45. Point(h_{3}) → K_{3}
  46. Translate(O_2, b) → L_2
  47. Translate(P_2, b) → M_2
  48. Translate(O_2, c) → N_2
  49. Translate(P_2, c) → R_2
  50. Segment(N_2, R_2) → h'
  51. Translate(Q_2, c) → S_2
  52. Translate(K_2, c) → T_2
  53. Angle(N_1, M_1, L_1) → β
  54. Polygon(U_2, V_2, W_2, Z_2) → q2, u_2, v_2, w_2, z_2

AI Drawing Prompt Reference

Draw a geometric figure that demonstrates translation and rotation. Start by creating basic points, then use vector and transformation commands to move and rotate them. Include translated and rotated versions of the figures, as well as new figures generated by these transformations. Ensure the relationships between objects are clear and the order of transformations is logical to illustrate the concepts of translation and rotation.
The prompt above was compiled from the original drawing commands and is for reference only.