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Animated Construction Of The Perpendicular Bissector

Animated Construction Of The Perpendicular Bissector
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2017-08-20 23:08
CircleAngleVectorCoordinate GeometryGeometric Construction
In collections Animated Geometric Constructions الإنشاءات الهندسية المُتحر
This example demonstrates how to construct a perpendicular bisector of a line segment through animation. Key math concepts involved include line segments, circles, intersections, angles, rotations, etc. The construction utilizes GeoGebra commands and objects such as Translate, Segment, Circle, Intersect, Angle, Rotate, CircleArc, Vector, Point, and LineBisector. Suitable for middle school students and above to learn geometric constructions and spatial reasoning.

GeoGebra Commands & Parameters

  1. Translate(P, Vector[(ll * Vector[P, Q])]) → P'
  2. Segment(A, B) → f
  3. Circle(A, B) → c
  4. Circle(B, A) → d
  5. Intersect(c, d) → C, D, ,
  6. Segment(C, D) → g
  7. Intersect(f, g) → E
  8. Angle(B, E, C) → α
  9. Rotate(B, (cc * t), A) → B'
  10. CircleArc(A, B, B') → e
  11. Rotate(A, (dd * t), B) → A'
  12. CircleArc(B, A, A') → h
  13. Vector(C, D) → u
  14. Translate(C, Vector[(ll * u)]) → C'
  15. Point(e) → F
  16. Segment(P, P') → i
  17. CircleArc(F, A, A') → k
  18. LineBisector(f) → j