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Perpendicular bisector of a line segment by tmills19

Perpendicular bisector of a line segment by tmills19
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2015-10-21 09:38
Locus
This example demonstrates how to construct the perpendicular bisector of a line segment. Key mathematical concepts include the midpoint, perpendicularity, and geometric construction. The construction involves using GeoGebra commands such as Segment, Midpoint, Line, and Angle. It is suitable for middle or high school mathematics education to understand geometric symmetry and locus concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Point(a) → C
  3. Circle(A, Segment[A, C]) → c
  4. Circle(B, Segment[A, C]) → d
  5. Intersect(c, d, 2) → D
  6. Line(D, E) → b
  7. Angle(a, b) → α
  8. Intersect(b, a) → F
  9. Segment(E, A) → e
  10. Segment(E, B) → f
  11. Distance(F, A) → distanceFA
  12. Midpoint(F, A) →
  13. Distance(F, B) → distanceFB
  14. Midpoint(F, B) →

AI Drawing Prompt Reference

Draw a line segment. Pick a point on the segment. Using the distance from one endpoint to this point as radius, draw two circles centered at each endpoint. The circles intersect at two points; connect these intersection points with a line. This line crosses the original segment at its midpoint and is perpendicular to it. Then draw segments from the intersection point to both endpoints, and mark that the distances from the intersection to the endpoints are equal.
The prompt above was compiled from the original drawing commands and is for reference only.