MathPlotAI Logo MathPlotAI

Rotations of Shapes around a Point not at the Origin

Rotations of Shapes around a Point not at the Origin
Loading the math board and drawing, please wait…
2019-08-30 11:16
AngleTransformationGeometric Construction
This example demonstrates the rotation of shapes around a point that is not the origin. It involves core mathematical concepts such as rotation, angle, and geometric transformation. The construction uses GeoGebra commands like Polygon, Rotate, Segment, Angle, and LaTeX. It is suitable for high school students learning about geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c, a, b
  2. Rotate(A, Counterclockwise, D) → A'
  3. Rotate(B, Counterclockwise, D) → B'
  4. Rotate(C, Counterclockwise, D) → C'
  5. Polygon(A', B', C') → t1', c', a', b'
  6. Rotate(A, (-Clockwise), D) → A'_1
  7. Rotate(B, (-Clockwise), D) → B'_1
  8. Rotate(C, (-Clockwise), D) → C'_1
  9. Polygon(A'_1, B'_1, C'_1) → t1'_1, c'_1, a'_1, b'_1
  10. Segment(D, A) → f
  11. Segment(D, A') → g
  12. Segment(D, A'_1) → h
  13. Angle(A, D, A') → γ
  14. Angle(A'_1, D, A) → δ
  15. LaTeX(A', true, true) → text1
  16. LaTeX(B', true, true) → text2
  17. LaTeX(C', true, true) → text3
  18. LaTeX(A'_1, true, true) → text4
  19. LaTeX(B'_1, true, true) → text5
  20. LaTeX(C'_1, true, true) → text6
  21. LaTeX(A, true, true) → text7
  22. LaTeX(C, true, true) → text8
  23. LaTeX(B, true, true) → text9