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Locus of Fixed Distance to a Line Segment

Locus of Fixed Distance to a Line Segment
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2018-06-19 18:06
Coordinate GeometryGeometric ConstructionLocus
This example demonstrates the locus of a point that is at a fixed distance from a line segment. Key mathematical concepts include the concept of locus in coordinate geometry. Using GeoGebra commands such as Segment, Distance, and Midpoint, the construction of the locus is illustrated. Suitable for high school mathematics education, particularly in coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, C) → f
  2. Distance(B, f) → distanceBf
  3. Midpoint(B, ClosestPoint[f, B]) →

AI Drawing Prompt Reference

Draw a line segment AC, then place a point B such that the distance from B to AC remains constant. As you move point B, observe and plot all possible positions to form a specific locus. This locus represents all possible positions of point B when its distance to line segment AC is fixed.
The prompt above was compiled from the original drawing commands and is for reference only.