What Is a Locus in Geometry

A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in the plane equidistant from a given point is a circle, and the set of points in three-space equidistant from a given point is a sphere.

What is a locus of a circle?

In terms of the locus of point or loci, the locus of a circle is represented as the collection of all points which are equally distant from a fixed point.,where the fixed point is the center of the circle and the distance of the collection of points is from the center is the radius of the circle.

What is the locus of an angle?

If we are given an angle and a FIXED line segment XY, then the locus of the vertex is all points where point A can be located. This may be envisioned as moving the fixed angle so that each side slides along on end of the segment.