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Perpendicular Bisector Construction with Feedback

Perpendicular Bisector Construction with Feedback
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2015-07-17 01:56
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to construct the perpendicular bisector of a line segment using GeoGebra, with real-time feedback. Core mathematical concepts include line segments, circles, intersections, and lines. The construction uses commands like Segment, Circle, Intersect, and Line, along with objects such as A, B, a_1, circle1, circle2, and zPoint. Suitable for middle school students and above to learn geometric constructions and spatial reasoning.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a_1
  2. Circle(A, B) → circle1
  3. Circle(B, A) → circle2
  4. Intersect(circle1, circle2, 1) → zPoint
  5. Intersect(circle1, circle2) → m1, m2, ,
  6. Segment(m1, m2) → zAnswer_1
  7. Line(m1, m2) → zAnswer
  8. Line(A, B) → a
  9. Segment(A, B) → b