Circle Through Three Points Construction

The simulation demonstrates the geometric fact that exactly one circle can be drawn through any three points that are not collinear. The centre of that circle is equidistant from all three points, so it lies on the perpendicular bisectors of the segments joining the points. By constructing these bisectors the unique centre and radius emerge naturally.

A step bar at the top lets students run the construction one step at a time, jump to any numbered step, or let it play automatically. The three defining points can be dragged at any moment, and all dependent lines, arcs and the circle update instantly, showing how the construction adapts.

Students explore how the position of the points affects the bisectors and the resulting circle, reinforcing concepts of loci, perpendicular bisectors, and the uniqueness of a circumcircle. The activity builds spatial reasoning and proof‑writing skills in geometry.