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Construction of the Perpendicular Bisector of a Segment

Construction of the Perpendicular Bisector of a Segment
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2012-12-25 05:09
TriangleCircleGeometric Construction
In collections Geometry Constructions Geometry CK12 CH01 Basics
This example demonstrates the construction of the perpendicular bisector of a segment. Key mathematical concepts include segments, circles, intersections, and lines. Using GeoGebra commands such as Segment, Circle, Intersect, Line, and Angle, the construction process is clearly illustrated. Suitable for students at the junior high school level and above for geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, a) → c
  3. Circle(B, a) → d
  4. Intersect(c, d) → C, D, ,
  5. Line(C, D) → b
  6. Intersect(b, a) → E
  7. Angle(C, E, A) → α

AI Drawing Prompt Reference

Draw a line segment AB, then draw two circles with A and B as centers and AB as radius. The intersection points C and D of these two circles lie on the perpendicular bisector of AB. Connect C and D to form the perpendicular bisector line, which intersects AB at point E. Finally, measure the angle CAE.
The prompt above was compiled from the original drawing commands and is for reference only.