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Construction of Perpendicular Bisector of Line Segment

Construction of Perpendicular Bisector of Line Segment
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2015-11-09 09:51
CircleGeometric Construction
This example demonstrates the construction of the perpendicular bisector of a line segment. Key mathematical concepts include line segments, circles, and geometric construction. Using GeoGebra commands such as Intersect, Point, and Segment, the construction process is clearly illustrated. Suitable for math education from middle school and above.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, a]) → B
  3. Segment(A, B) → b
  4. Circle(A, (0.6 * a)) → c
  5. Circle(B, (0.6 * a)) → d
  6. Point(c) → C
  7. Point(c) → D
  8. CircleArc(A, C, D) → e
  9. Point(c) → E
  10. Point(c) → F
  11. CircleArc(A, E, F) → f
  12. Point(d) → G
  13. Point(d) → H
  14. CircleArc(B, G, H) → g
  15. Point(d) → I
  16. Point(d) → J
  17. CircleArc(B, I, J) → h
  18. Intersect(c, d, 1) → K
  19. Intersect(c, d, 2) → L
  20. Line(L, K) → i
  21. Point(i) → M
  22. Point(i) → N
  23. Segment(M, N) → j