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Rotating Polygons 1

Rotating Polygons 1
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2013-04-03 02:48
PolygonTransformation
In collections Rotations Understanding Polygons
This example demonstrates how to rotate polygons using GeoGebra. Key mathematical concepts include rotation and plane geometry. Using commands like Polygon, Intersect, Rotate, Segment, and Angle, you can construct the rotated polygon. Suitable for students in middle school and above learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → O
  3. Rotate(A, -α, O) → A'
  4. Rotate(B, -α, O) → B'
  5. Rotate(C, -α, O) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Segment(B, O) → d
  8. Segment(B', O) → e
  9. Angle(B', O, B) → β

AI Drawing Prompt Reference

Draw a triangle ABC, then rotate it -α degrees counterclockwise around point O to form a new triangle A'B'C'. First, draw the intersection point O of the x-axis and y-axis, then draw triangle ABC, and finally rotate triangle ABC to get A'B'C'.
The prompt above was compiled from the original drawing commands and is for reference only.