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Rotation Exploration by stampinpost

Rotation Exploration by stampinpost
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2013-03-02 02:44
TriangleCoordinate GeometryTransformation
In collections Rotations Rotations
This example demonstrates the rotation of a triangle around the origin. Key mathematical concepts include rotation transformations and triangle properties. Using GeoGebra commands such as Point, Polygon, and Rotate, students can observe the changes in the triangle before and after rotation. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 3.6055512754639896]) → B
  2. Polygon(C, B, A) → poly1, a, c, b
  3. Rotate(C, 90*°, D) → C'
  4. Rotate(B, 90*°, D) → B'
  5. Rotate(A, 90*°, D) → A'
  6. Polygon(C', B', A') → poly1', a', c', b'
  7. Rotate(C, 180*°, D) → C'_1
  8. Rotate(B, 180*°, D) → B'_1
  9. Rotate(A, 180*°, D) → A'_1
  10. Polygon(C'_1, B'_1, A'_1) → poly1'_1, a'_1, c'_1, b'_1
  11. Rotate(C, 270*°, D) → C'_2
  12. Rotate(B, 270*°, D) → B'_2
  13. Rotate(A, 270*°, D) → A'_2
  14. Polygon(C'_2, B'_2, A'_2) → poly1'_2, a'_2, c'_2, b'_2
  15. Rotate(C, 270*°, D) → C'_3
  16. Rotate(B, 270*°, D) → B'_3
  17. Rotate(A, 270*°, D) → A'_3
  18. Polygon(C'_3, B'_3, A'_3) → poly1'_3, a'_3, c'_3, b'_3

AI Drawing Prompt Reference

Draw a triangle rotating around the origin at 90°, 180°, 270°, and 360° clockwise, showing the shape and position of the triangle after each rotation, use different colors to distinguish the original triangle and the rotated triangles, clearly display the rotational symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.