MathPlotAI Logo MathPlotAI

Euclidean Rotation

Euclidean Rotation
Loading the math board and drawing, please wait…
2017-11-22 05:09
Coordinate GeometryMatrixTransformation
This example demonstrates the rotation of points in Euclidean space. It involves core mathematical concepts like rotation, matrix transformations, and coordinate geometry. Key GeoGebra commands used include Rotate, Sequence, and Segment. Suitable for high school and above students to learn spatial geometric transformations.

GeoGebra Commands & Parameters

  1. Rotate(A, α, C) → A'
  2. Sequence(Segment[(n, 0), (n, j)], n, 1, j) → xgrid
  3. Sequence(Segment[(0, n), (j, n)], n, 0, j) → ygrid
  4. Rotate(ygrid, α, F_1) → ygrid'
  5. Rotate(xgrid, α, F_1) → xgrid'
  6. Rotate(D, α, F_1) → D'
  7. Rotate(E, α, F_1) → E'
  8. Segment((0, 0), (0, 10)) → f
  9. Rotate(f, α, F_1) → f'
  10. Rotate(F, α) → F'
  11. Segment(D, E) → g
  12. Segment(E, F) → h
  13. Segment(F, D) → i
  14. Segment(D', E') → k
  15. Segment(E', F') → l
  16. Segment(F', D') → m