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Exploring Rotations by Molly Potter

Exploring Rotations by Molly Potter
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2016-11-01 05:12
PolygonCoordinate GeometryTransformationGeometric Construction
This example demonstrates the rotation transformation of polygons in a coordinate system around a center point. Core math concepts include rotation, coordinate geometry, similarity transformation, and vectors. Construction highlights involve GeoGebra commands like Polygon, Intersect, and Rotate. Suitable for high school geometry transformation teaching, helping students understand the properties and coordinate representation of rotations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a, j, b, c, d, e, f, g, h, i
  2. Intersect(xAxis, yAxis) → O
  3. Rotate(A, (-α), O) → A'
  4. Rotate(B, (-α), O) → B'_1
  5. Rotate(C, (-α), O) → C'_1
  6. Rotate(D, (-α), O) → D'_1
  7. Rotate(E, (-α), O) → E'_1
  8. Rotate(F, (-α), O) → F'_1
  9. Rotate(G, (-α), O) → G'_1
  10. Rotate(H, (-α), O) → H'_1
  11. Rotate(I, (-α), O) → I'_1
  12. Rotate(J, (-α), O) → J'_1
  13. Polygon(A', B'_1, C'_1, D'_1, E'_1, F'_1, G'_1, H'_1, I'_1, J'_1) → poly1', a', j', b', c', d', e', f', g', h', i'
  14. Rotate(A, (-α)) → D2
  15. Rotate(B, (-α)) → B'
  16. Rotate(C, (-α)) → C'
  17. Rotate(D, (-α)) → D'
  18. Rotate(E, (-α)) → E'
  19. Rotate(F, (-α)) → F'
  20. Rotate(G, (-α)) → G'
  21. Rotate(H, (-α)) → H'
  22. Rotate(I, (-α)) → I'
  23. Rotate(J, (-α)) → J'
  24. Rotate(B, (-α)) → D3
  25. Rotate(C, (-α)) → D4
  26. Rotate(D, (-α)) → D5
  27. Rotate(H, (-α)) → D9
  28. Rotate(G, (-α)) → D8
  29. Rotate(F, (-α)) → D7
  30. Rotate(E, (-α)) → D6
  31. Rotate(I, (-α)) → D10
  32. Rotate(J, (-α)) → D11