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Animated Angle Bisector Construction

Animated Angle Bisector Construction
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2017-08-20 23:02
AngleGeometric Construction
In collections Animated Geometric Constructions الإنشاءات الهندسية المُتحر
This example demonstrates the dynamic construction of an angle bisector. It involves core mathematical concepts such as angles, segments, circles, and intersections. The construction utilizes GeoGebra commands and objects like Rays, Rotations, CircleArcs, Circles, Intersections, Translations, and Segments. Suitable for middle school and above students to learn geometric construction techniques.

GeoGebra Commands & Parameters

  1. Ray(A, C) → b_1
  2. Ray(A, B) → a
  3. Rotate(D, (a1 * t), A) → D'
  4. CircleArc(A, D, D') → c
  5. Circle(A, D) → d
  6. Intersect(d, b_1) → E,
  7. Rotate(E, (a2 * t), D) → E'
  8. CircleArc(D, E, E') → e
  9. Circle(D, E) → f
  10. Rotate(D, (a3 * t), E) → D''
  11. CircleArc(E, D, D'') → g
  12. Intersect(g, f) → F, G, ,
  13. Translate(A, Vector[(b * Vector[A, G])]) → A'
  14. Segment(A, A') → h
  15. Angle(C, A, G) → α
  16. Angle(G, A, B) → β

AI Drawing Prompt Reference

Draw a dynamic angle bisector construction, showing the relationship between the two sides of an angle and the angle bisector. Start by drawing the two sides of the angle, then draw two circles centered at the vertex of the angle. Find their intersection points, draw circles centered at these points, and locate their intersections with the angle bisector. Finally, connect the vertex to the intersection points to show the dynamic construction of the angle bisector.
The prompt above was compiled from the original drawing commands and is for reference only.