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Transferring an Angle

Transferring an Angle
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2013-12-05 10:46
CircleAngleGeometric Construction
In collections Elementary Constructions
This example demonstrates how to transfer an angle on a plane by constructing auxiliary circles and rays to achieve an exact copy of the angle. Core math concepts involved include angles, circles, intersection, and rotation. Construction highlights use of GeoGebra commands/objects like Ray, Circle, Intersect, and Angle. Suitable for middle school students and above to learn geometric constructions and assist in teaching demonstrations and proofs.

GeoGebra Commands & Parameters

  1. Ray(V, B) → a
  2. Ray(V, A) → b
  3. Ray(X, Y) → c
  4. Circle(V, B) → d
  5. Circle(X, Segment[V, B]) → e
  6. Intersect(d, b, 1) → C
  7. Intersect(e, c, 1) → D
  8. Circle(D, Segment[B, C]) → f
  9. Intersect(e, f, 1) → E
  10. Ray(X, E) → target
  11. Angle(B, V, A) → α

AI Drawing Prompt Reference

Draw an angle α. Then draw a circle with center V and radius B. Draw a ray c from X to Y, and draw another circle d with center V and radius B. Mark the intersection of circle d and ray b as point C, and the intersection of circle d and ray c as point D. Draw a circle e with center D and radius B, and mark the intersection of circle e and circle d as point E. Finally, draw a ray from X to E as the target ray.
The prompt above was compiled from the original drawing commands and is for reference only.