Locus of Midpoints of Chords Passing Through a Fixed Point in a Circle

2013-12-04 07:49
This GeoGebra example demonstrates the locus of the midpoints of chords passing through a fixed point inside a circle. By constructing a circle, a fixed point, and a moving chord, the midpoint is determined using geometric properties like the perpendicular from the center to the chord. The Locus command generates the path of the midpoint. This visually illustrates a classic plane geometry problem,