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Angle Bisector Construction by Marcinek, Tibor

Angle Bisector Construction by Marcinek, Tibor
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2013-12-05 11:52
CircleAngleGeometric Construction
In collections Elementary Constructions
This example demonstrates the construction of an angle bisector and related geometric elements using GeoGebra. It involves core mathematical concepts such as angles, circles, intersections, and vectors. Key GeoGebra commands and objects used include Ray, Angle, Circle, and Intersect. Suitable for middle school students and above for learning geometric constructions and for educational demonstrations.

GeoGebra Commands & Parameters

  1. Ray(V, B) → a
  2. Ray(V, A) → b
  3. Angle(A, V, B) → α
  4. Circle(V, A) → c
  5. Intersect(c, a, 1) → C
  6. Circle(A, C) → d
  7. Circle(C, A) → e
  8. Intersect(d, e, 2) → D
  9. Ray(V, D) → target

AI Drawing Prompt Reference

Draw two rays starting from a point and passing through two other points. Measure the angle between the rays and draw a circle centered at the vertex with a radius equal to the distance from the vertex to a point on one ray. Find the intersection of this circle with the first ray. Then draw two more circles, one centered at the vertex and passing through the intersection point, and another centered at the intersection point and passing through the vertex. Locate the intersection of these two circles. Finally, draw a ray from the vertex through this intersection point to complete the angle bisector.
The prompt above was compiled from the original drawing commands and is for reference only.