MathPlotAI Logo MathPlotAI

180 Degree Counterclockwise Rotation

180 Degree Counterclockwise Rotation
Loading the math board and drawing, please wait…
2017-04-05 22:24
VectorTransformationGeometric Construction
In collections Rotations
This example demonstrates a 180-degree counterclockwise rotation. Key mathematical concepts include rotation and vector. Using GeoGebra commands such as Rotate and Vector, the rotated figure can be constructed. Suitable for students at the junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Textfield(A) → InputBox1
  2. Segment(O, A) → f
  3. Midpoint(f) → B
  4. Rotate(A, 180°, O) → A'
  5. Segment(O, A') → g
  6. Midpoint(g) → C
  7. Semicircle(C, B) → c
  8. Point(c) → D
  9. Vector(D, C) → u

AI Drawing Prompt Reference

Draw point O and point A, then rotate A 180 degrees counterclockwise around O to get A'. Draw line segment OA and OA', find their midpoints B and B'. Use B' as the center and B as the radius to draw a semicircle, then pick a point D on the semicircle, and draw the vector from D to B'.
The prompt above was compiled from the original drawing commands and is for reference only.