Locus of Midpoints of All Chords Through a Point Inside a Circle

2015-03-25 17:46
This GeoGebra example demonstrates the locus formed by the midpoints of all chords passing through a fixed point inside a circle. As a chord rotates around the interior point, the collection of midpoints traces out a new circle whose diameter is the segment connecting the original circle's center to the fixed point. This interactive construction illustrates key geometric concepts including circle