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Reflection, Translation, and Rotation

Reflection, Translation, and Rotation
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2017-03-23 11:05
VectorTransformationGeometric Construction
This example demonstrates three basic geometric transformations: reflection, translation, and rotation. Key mathematical concepts include reflection, rotation, and translation. Using GeoGebra commands such as Polygon, Mirror, and Rotate, the transformed shapes can be constructed. Suitable for students at the junior high school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Mirror(A, yAxis) → A'
  3. Mirror(B, yAxis) → B'
  4. Mirror(C, yAxis) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Polygon(E, F, G) → poly2, g, e, f
  7. Rotate(E, 45°, G) → E'
  8. Rotate(F, 45°, G) → F'
  9. Rotate(G, 45°, G) → G'
  10. Polygon(E', F', G') → poly2', g', e', f'
  11. Rotate(E, 90°, G) → E'_1
  12. Rotate(F, 90°, G) → F'_1
  13. Rotate(G, 90°, G) → G'_1
  14. Polygon(E'_1, F'_1, G'_1) → poly2'_1, g'_1, e'_1, f'_1
  15. Rotate(E, 180°, G) → E'_2
  16. Rotate(F, 180°, G) → F'_2
  17. Rotate(G, 180°, G) → G'_2
  18. Polygon(E'_2, F'_2, G'_2) → poly2'_2, g'_2, e'_2, f'_2
  19. Rotate(E, 270°, G) → E'_3
  20. Rotate(F, 270°, G) → F'_3
  21. Rotate(G, 270°, G) → G'_3
  22. Polygon(E'_3, F'_3, G'_3) → poly2'_3, g'_3, e'_3, f'_3
  23. Polygon(H, I, J) → poly3, j, h, i
  24. Polygon(K, L, M) → poly4, m, k, l
  25. Polygon(N, J, O) → poly5, o, n, j_1
  26. Point(yAxis) → D
  27. Point(yAxis) → P
  28. Segment(D, P) → p

AI Drawing Prompt Reference

Draw a triangle ABC, then reflect it over the y-axis to get A'B'C', rotate it 45 degrees to get E'F'G', 90 degrees to get E'1F'1G'1, 180 degrees to get E'2F'2G'2, and 270 degrees to get E'3F'3G'3. Next, draw triangles HIJ, KLM, and NJO. Finally, draw a line segment p between two points D and P on the y-axis.
The prompt above was compiled from the original drawing commands and is for reference only.