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Perpendicular Bisector Construction by Caribou Contests

Perpendicular Bisector Construction by Caribou Contests
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2015-08-26 11:55
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to construct the perpendicular bisector of a line segment using GeoGebra. Key math concepts include line segments, circles, intersections, and polygons. Construction steps involve commands like Segment, Circle, Intersect, and Polygon. Suitable for middle school students and above learning geometric constructions and coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Circle(A, B) → circle1
  3. Circle(B, A) → circle2
  4. Intersect(circle1, circle2, 1) → M_1
  5. Intersect(circle1, circle2) → m1, m2, ,
  6. Segment(m1, m2) → zAnswer
  7. Segment(A, B) → b
  8. Circle(A, B) → c
  9. Circle(B, A) → d
  10. Intersect(c, d, 1) → C
  11. Intersect(c, d, 2) → D
  12. Polygon(C, B, A) → poly1, a_1, c_1, b_1
  13. Polygon(B, D, A) → poly2, a_2, b_2, d_1
  14. Segment(C, D) → e
  15. Intersect(b, c_1) → E
  16. Intersect(b, c_1) → F
  17. Intersect(c_1, e) → M