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Rotating Points on a Line

Rotating Points on a Line
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2014-02-18 05:52
FunctionCoordinate Geometry
This example demonstrates dragging a red point on a line and rotating it 90 degrees. Key mathematical concepts include rotation and plane geometry. It uses commands such as Point, Intersect, Rotate, Line, OrthogonalLine, Segment, and Textfield in GeoGebra. Suitable for middle school and above students learning plane geometry and transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → x_1
  2. Intersect(xAxis, yAxis) → O
  3. Rotate(B_1, α, O) → y_1
  4. Line(O, y_1) → a
  5. OrthogonalLine(y_1, a) → b
  6. OrthogonalLine(x_1, xAxis) → c
  7. Intersect(b, c) → A
  8. Segment(x_1, A) → d
  9. Segment(A, y_1) → e
  10. Textfield(f) → inputBox1
  11. Point(xAxis) → B
  12. Point(xAxis) → C
  13. Line(B, C) → g
  14. Line(D, E) → h

AI Drawing Prompt Reference

Draw a horizontal line and a vertical line in a coordinate system, intersecting at the origin. Drag a point on the horizontal line and draw a line from the origin through this point. Rotate the point 90 degrees around the origin to get a new point, and connect the original and new points with a line segment. Then, draw two perpendicular lines through the two points, intersecting the horizontal line. Connect the intersection points with the rotated point using line segments.
The prompt above was compiled from the original drawing commands and is for reference only.