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Exploring 180 Degree Rotation

Exploring 180 Degree Rotation
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2016-02-15 09:04
AngleTransformationGeometric Construction
In collections Geometry Transformations
This example demonstrates how to transform a figure by rotating it 180 degrees. Key mathematical concepts include rotation, angles, and geometric transformations. It uses commands like Polygon and Rotate in GeoGebra. Suitable for middle school and above students to learn about geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, E, D, C, B) → poly1, a, b, c, d, e
  2. Rotate(A, Angle°, F) → A'
  3. Rotate(E, Angle°, F) → E'
  4. Rotate(D, Angle°, F) → D'
  5. Rotate(C, Angle°, F) → C'
  6. Rotate(B, Angle°, F) → B'
  7. Polygon(A', E', D', C', B') → poly1', a', b', c', d', e'
  8. Rotate(A, 100°, G) → A'_2
  9. Rotate(E, 100°, G) → E'_1
  10. Rotate(D, 100°, G) → D'_1
  11. Rotate(C, 100°, G) → C'_2
  12. Rotate(B, 100°, G) → B'_2
  13. Polygon(A'_2, E'_1, D'_1, C'_2, B'_2) → poly1'_1, a'_1, b'_1, c'_1, d'_1, e'_1
  14. Rotate(A, 110°, H) → A'_3
  15. Rotate(E, 110°, H) → E'_3
  16. Rotate(D, 110°, H) → D'_3
  17. Rotate(C, 110°, H) → C'_3
  18. Rotate(B, 110°, H) → B'_3
  19. Polygon(A'_3, E'_3, D'_3, C'_3, B'_3) → poly1'_2, a'_2, b'_2, c'_2, d'_2, e'_2