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Angle Bisector Construction by SOMU

Angle Bisector Construction by SOMU
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2015-07-07 09:15
CircleAngleGeometric Construction
This example demonstrates the geometric construction and properties of an angle bisector. It involves core mathematical concepts such as angles, line segments, circles, intersections, and angle bisectors. The construction uses GeoGebra commands and objects like Line, Angle, Circle, Intersect, and AngularBisector as outlined in the summary. Suitable for high school mathematics education to understand the definition, construction method, and applications of angle bisectors.

GeoGebra Commands & Parameters

  1. Line(A, C) → a
  2. Line(C, B) → b
  3. Angle(B, C, A) → α
  4. Angle(A, C, B) → β
  5. Circle(C, D) → c
  6. Intersect(c, a, 1) → E
  7. Intersect(c, b, 2) → F
  8. Intersect(c, b, 1) → G
  9. Intersect(c, a, 2) → H
  10. AngularBisector(Line[A, C], Line[B, C]) → d, e
  11. Circle(Intersect[c, a, 1], l * Length[Segment[Intersect[c, a, 1], Intersect[c, b, 2]]]) → f
  12. Circle(Intersect[c, b, 2], l * Length[Segment[Intersect[c, b, 2], Intersect[c, a, 1]]]) → g
  13. Line(Intersect[f, g, 1], Intersect[f, g, 2]) → h