MathPlotAI Logo MathPlotAI

Perpendicular Bisector Definition by Tim Brzezinski

Perpendicular Bisector Definition by Tim Brzezinski
Loading the math board and drawing, please wait…
2016-06-03 06:13
CircleCoordinate GeometryGeometric Construction
In collections Geometry: Introductory Definitions, Postulates, Theorems
This example illustrates the definition of a perpendicular bisector. Key mathematical concepts include line segments, straight lines, and circles. Using GeoGebra commands such as Segment, Midpoint, LineBisector, and Circle, the construction of a perpendicular bisector is demonstrated. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Midpoint(f) → C
  3. LineBisector(f) → p
  4. Circle(C, (0.1 * f)) → c
  5. Intersect(c, f, 2) → D
  6. Intersect(c, p, 2) → E
  7. CircleSector(C, D, E) → d
  8. Dilate(A, If[0 < a ≤ 1, 1 - a, 0], C) → A'
  9. Segment(A, A') → h
  10. Dilate(C, If[1 < a ≤ 2, 2 - a, 0], B) → C'
  11. Segment(C, C') → i
  12. Rotate(A, If[2 < a ≤ 3, ((-(a - 2)) * π), (-π)], C) → A'_1
  13. Rotate(A', If[2 < a ≤ 3, ((a - 2) * π), π], C) → A''
  14. Segment(A'_1, A'') → h'
  15. Rotate(d, If[3 < a ≤ 4, ((a - 3) * π / 2), π / 2], C) → d'