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Explore Transformations

Explore Transformations
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2018-07-20 07:31
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the transformation process of geometric shapes, including reflection, rotation, and translation. Key mathematical concepts include reflection, rotation, translation, and congruence. It uses commands such as Polygon, Vector, Translate, Line, Mirror, and Rotate in GeoGebra. Suitable for students at the middle school level and above to learn about geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Vector(E, F) → u
  3. Translate(A, u) → A'
  4. Translate(B, u) → B'
  5. Translate(C, u) → C'
  6. Translate(D, u) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Line(G, H) → f
  9. Mirror(A, f) → A'_1
  10. Mirror(B, f) → B'_1
  11. Mirror(C, f) → C'_1
  12. Mirror(D, f) → D'_1
  13. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1
  14. Mirror(A, I) → A'_2
  15. Mirror(B, I) → B'_2
  16. Mirror(C, I) → C'_2
  17. Mirror(D, I) → D'_2
  18. Polygon(A'_2, B'_2, C'_2, D'_2) → poly1'_2, a'_2, b'_2, c'_2, d'_2
  19. Rotate(A, (-α), J) → A'_3
  20. Rotate(B, (-α), J) → B'_3
  21. Rotate(C, (-α), J) → C'_3
  22. Rotate(D, (-α), J) → D'_3
  23. Polygon(A'_3, B'_3, C'_3, D'_3) → poly1'_3, a'_3, b'_3, c'_3, d'_3