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Copy a Shape

Copy a Shape
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2014-02-18 21:42
PolygonTransformationGeometric Construction
This example demonstrates how to copy a given shape using GeoGebra. The core concepts include geometric transformations, specifically copying. Commands like Polygon, Point, Segment are used to precisely copy the shape. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Point(Circle[D, c]) → E
  3. Segment(D, E) → d
  4. Angle(C, B, A) → α
  5. Angle(B, A, C) → β
  6. Rotate(E, β, D) → E'
  7. Angle(E, D, E') → γ
  8. Ray(D, E') → e
  9. Rotate(D, α, E) → D'
  10. Angle(D, E, D') → δ
  11. Ray(E, D') → f
  12. Circle(F, c) → g
  13. Line(F, xAxis) → h
  14. Intersect(g, h, 2) → G
  15. Segment(F, G) → i

AI Drawing Prompt Reference

Draw a triangle ABC, then take point E on circle D, connect DE, measure angles ABC and ACB, rotate E around angle ACB to get E', draw ray DE', then rotate D around angle ABC to get D', draw ray ED', next draw a circle with center C, intersect it with the x-axis at G, and draw line segment FG.
The prompt above was compiled from the original drawing commands and is for reference only.