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Transformation Identification Exercise

Transformation Identification Exercise
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2015-01-26 20:09
Coordinate GeometryTransformationGeometric Construction
This example demonstrates transformations including reflection, rotation, and translation. Using GeoGebra commands like Mirror, Rotate, and Translate, students can understand the basic principles of these transformations and their applications in geometric construction. Suitable for middle school and above students.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Polygon(C, D, E, F, G, H) → poly1, c_1, d_1, e, f, g, h
  3. Mirror(C, c) → C'
  4. Mirror(D, c) → D'
  5. Mirror(E, c) → E'
  6. Mirror(F, c) → F'
  7. Mirror(G, c) → G'
  8. Mirror(H, c) → H'
  9. Polygon(C', D', E', F', G', H') → poly1', c', d', e', f', g', h'
  10. Mirror(C, b) → C'_1
  11. Mirror(D, b) → D'_1
  12. Mirror(E, b) → E'_1
  13. Mirror(F, b) → F'_1
  14. Mirror(G, b) → G'_1
  15. Mirror(H, b) → H'_1
  16. Polygon(C'_1, D'_1, E'_1, F'_1, G'_1, H'_1) → poly1'_1, c'_1, d'_1, e'_1, f'_1, g'_1, h'_1
  17. Mirror(C, d) → C'_2
  18. Mirror(D, d) → D'_2
  19. Mirror(E, d) → E'_2
  20. Mirror(F, d) → F'_2
  21. Mirror(G, d) → G'_2
  22. Mirror(H, d) → H'_2
  23. Polygon(C'_2, D'_2, E'_2, F'_2, G'_2, H'_2) → poly1'_2, c'_2, d'_2, e'_2, f'_2, g'_2, h'_2
  24. Mirror(C, j) → C'_3
  25. Mirror(D, j) → D'_3
  26. Mirror(E, j) → E'_3
  27. Mirror(F, j) → F'_3
  28. Mirror(G, j) → G'_3
  29. Mirror(H, j) → H'_3
  30. Polygon(C'_3, D'_3, E'_3, F'_3, G'_3, H'_3) → poly1'_3, c'_3, d'_3, e'_3, f'_3, g'_3, h'_3
  31. Mirror(C, i) → C'_4
  32. Mirror(D, i) → D'_4
  33. Mirror(E, i) → E'_4
  34. Mirror(F, i) → F'_4
  35. Mirror(G, i) → G'_4
  36. Mirror(H, i) → H'_4
  37. Polygon(C'_4, D'_4, E'_4, F'_4, G'_4, H'_4) → poly1'_4, c'_4, d'_4, e'_4, f'_4, g'_4, h'_4
  38. Rotate(C, 90*°, A) → C'_5
  39. Rotate(D, 90*°, A) → D'_5
  40. Rotate(E, 90*°, A) → E'_5
  41. Rotate(F, 90*°, A) → F'_5
  42. Rotate(G, 90*°, A) → G'_5
  43. Rotate(H, 90*°, A) → H'_5
  44. Polygon(C'_5, D'_5, E'_5, F'_5, G'_5, H'_5) → poly1'_5, c'_5, d'_5, e'_5, f'_5, g'_5, h'_5
  45. Rotate(C, 180*°, A) → C'_6
  46. Rotate(D, 180*°, A) → D'_6
  47. Rotate(E, 180*°, A) → E'_6
  48. Rotate(F, 180*°, A) → F'_6
  49. Rotate(G, 180*°, A) → G'_6
  50. Rotate(H, 180*°, A) → H'_6
  51. Polygon(C'_6, D'_6, E'_6, F'_6, G'_6, H'_6) → poly1'_6, c'_6, d'_6, e'_6, f'_6, g'_6, h'_6
  52. Rotate(C, -90*°, I) → C'_7
  53. Rotate(D, -90*°, I) → D'_7
  54. Rotate(E, -90*°, I) → E'_7
  55. Rotate(F, -90*°, I) → F'_7
  56. Rotate(G, -90*°, I) → G'_7
  57. Rotate(H, -90*°, I) → H'_7
  58. Polygon(C'_7, D'_7, E'_7, F'_7, G'_7, H'_7) → poly1'_7, c'_7, d'_7, e'_7, f'_7, g'_7, h'_7
  59. Dilate(C, k, A) → C'_8
  60. Dilate(D, k, A) → D'_8
  61. Dilate(E, k, A) → E'_8
  62. Dilate(F, k, A) → F'_8
  63. Dilate(G, k, A) → G'_8
  64. Dilate(H, k, A) → H'_8
  65. Polygon(C'_8, D'_8, E'_8, F'_8, G'_8, H'_8) → poly1'_8, c'_8, d'_8, e'_8, f'_8, g'_8, h'_8
  66. Dilate(C, L, B) → C'_9
  67. Dilate(D, L, B) → D'_9
  68. Dilate(E, L, B) → E'_9
  69. Dilate(F, L, B) → F'_9
  70. Dilate(G, L, B) → G'_9
  71. Dilate(H, L, B) → H'_9
  72. Polygon(C'_9, D'_9, E'_9, F'_9, G'_9, H'_9) → poly1'_9, c'_9, d'_9, e'_9, f'_9, g'_9, h'_9
  73. Ray(A, G) → l
  74. Ray(A, C) → s
  75. Line(H, B) → t
  76. Line(D, B) → a_1

AI Drawing Prompt Reference

Draw a polygon and reflect it across the axes through its center to create three mirrored polygons. Then reflect it across another axis to create four mirrored polygons. Finally, rotate the original and all mirrored polygons 90 degrees and 180 degrees clockwise around the center point.
The prompt above was compiled from the original drawing commands and is for reference only.