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Bisect an Angle by Jennifer Silverman

Bisect an Angle by Jennifer Silverman
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2014-08-22 20:59
CircleAngleGeometric Construction
In collections Constructions Crash Course for Teachers
This example demonstrates how to bisect an angle using GeoGebra tools. Key mathematical concepts include the properties of angles and geometric constructions. By using commands such as line segments, circles, and intersections, the angle bisector can be accurately constructed. Suitable for teachers learning basic geometric construction techniques.

GeoGebra Commands & Parameters

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

AI Drawing Prompt Reference

Draw an angle ABC, then draw two circles with center A and radii AB and AC, respectively, to find their intersection points D and E. Draw another circle with center A and radius AD or AE, and find its intersection with the first circle to get point F. Finally, draw a ray from A through F, which is the angle bisector of angle ABC.
The prompt above was compiled from the original drawing commands and is for reference only.