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Copy an Angle by Jenna Anderson

Copy an Angle by Jenna Anderson
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2014-10-14 09:34
AngleCoordinate GeometryGeometric Construction
In collections Geometry Construction Project
This example demonstrates how to copy an angle. The key mathematical concept is the equality of angles. Using GeoGebra commands such as Ray, Point, Circle, and Intersect, you can construct a new angle that is congruent to the original one. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Ray(A, B) → a
  2. Ray(A, C) → b
  3. Ray(D, E) → c
  4. Point(a) → F
  5. Circle(A, F) → d
  6. Circle(D, Segment[A, F]) → e
  7. Intersect(e, c, 1) → G
  8. Intersect(d, b, 1) → H
  9. Circle(G, Segment[F, H]) → f
  10. Intersect(e, f, 1) → I
  11. Ray(D, I) → g

AI Drawing Prompt Reference

Draw two rays to form an angle, then draw another ray as the side of a new angle. With a point on the first ray as the center, draw a circle intersecting the new ray. Then, with the vertex of the new angle as the center, draw another circle using the segment to the intersection point. Connect the vertex to the new intersection point to form a congruent angle.
The prompt above was compiled from the original drawing commands and is for reference only.