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Construction of Perpendicular Bisector

Construction of Perpendicular Bisector
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2015-03-31 02:12
AngleTransformationGeometric Construction
In collections Circle Constructions
This example demonstrates how to construct a perpendicular bisector using GeoGebra. Key mathematical concepts include geometric construction and the properties of perpendicular bisectors. Using commands such as Segment, Circle, Intersect, Rotate, Angle, and CircleArc, the construction process is clearly illustrated. Suitable for students in middle school and above who are learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → c
  3. Circle(B, A) → d
  4. Intersect(c, d, 1) → C
  5. Intersect(c, d, 2) → D
  6. Rotate(B, (-t), A) → B'
  7. Angle(B', A, B) → α
  8. CircleArc(A, B', B) → e
  9. Rotate(A, (-t), B) → A'
  10. Angle(A', B, A) → β
  11. CircleArc(B, A', A) → f
  12. Segment(C, D) → b
  13. Circle(C, r) → g
  14. Intersect(g, b, 1) → E
  15. Segment(C, E) → h

AI Drawing Prompt Reference

Draw a line segment, then create two circles with the endpoints as centers. The intersection points of these circles define the perpendicular bisector. Connect these points to form the bisector. Finally, draw a circle with one intersection point as the center and find its intersection with the bisector to complete the construction.
The prompt above was compiled from the original drawing commands and is for reference only.