Visualizing the Difference of Two Line Segments

This GeoGebra example demonstrates how to visually construct the difference between two line segments using basic geometric tools. It shows the process of taking two given segments AB and CD, and through circle constructions and point intersections, obtaining a new segment whose length equals the difference of the two original lengths. The core mathematical concepts involve segment length measurement, geometric representation of differences, and classical straightedge-and-compass construction principles. The construction uses commands such as Segment to define the original segments, Circle to draw circles with radii equal to the segment lengths, and Point to mark intersection points, finally connecting relevant points to form the difference segment. This example is suitable for middle school geometry classes to help students understand how to construct segment differences, and can also serve as a dynamic demonstration tool in high school analytic geometry or math lab sessions.