MathPlotAI Logo MathPlotAI

Rotation about the Origin by Joshua

Rotation about the Origin by Joshua
Loading the math board and drawing, please wait…
2017-02-07 09:32
Coordinate GeometryTransformationGeometric Construction
This example demonstrates rotation about the origin. Key mathematical concepts include rotation transformation. Using GeoGebra commands such as Point, Polygon, Intersect, Rotate, etc., the rotated shapes can be constructed. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, C) → poly1, c, a, b
  4. Intersect(xAxis, yAxis) → D
  5. Rotate(A, 90°, D) → A'
  6. Rotate(B, 90°, D) → B'
  7. Rotate(C, 90°, D) → C'
  8. Polygon(A', B', C') → poly1', c', a', b'
  9. Rotate(A, 180°, D) → A'_1
  10. Rotate(B, 180°, D) → B'_1
  11. Rotate(C, 180°, D) → C'_1
  12. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  13. Rotate(A, 270°, D) → A'_2
  14. Rotate(B, 270°, D) → B'_2
  15. Rotate(C, 270°, D) → C'_2
  16. Polygon(A'_2, B'_2, C'_2) → poly1'_2, c'_2, a'_2, b'_2
  17. Rotate(A, 360°, D) → A'_3
  18. Rotate(B, 360°, D) → B'_3
  19. Rotate(C, 360°, D) → C'_3
  20. Polygon(A'_3, B'_3, C'_3) → poly1'_3, c'_3, a'_3, b'_3