Fixed Distance from a Line Segment: Locus of Points

① This example demonstrates the locus of points that maintain a constant distance from a given line segment, showing the shape formed by all such points. ② Core mathematical concepts include the definition of distance from a point to a segment, parallel lines, circular arcs, and locus construction, involving geometric transformations and coordinate geometry. ③ Construction highlights: using GeoGebra commands such as Intersect, Point, Segment, and Angle, the example creates segment AB, a moving point P, and auxiliary objects; dragging P reveals the locus when the distance is fixed, possibly with a slider to adjust the distance value. ④ Suitable for middle and high school geometry classes to explore distance concepts, locus generation, and dynamic geometry, also useful for extensions in geometric transformations and sequences.