## Loci in Two Dimensions

 8.2 Loci in Two Dimensions
 Locus of points that are of constant distance from a fixed point: The locus of a point that is equidistant from a fixed point is a circle centered at that fixed point. Points marked at the same distance from a fixed point $$O$$ forms a circle. A point that always moves at the same distance from a fixed point forms a circle.
 Locus of points that are equidistant from two fixed points: The locus of a point that is equidistant from two fixed points is the perpendicular bisector of the line connecting the two fixed points. The two points of intersection are connected with a straight line.
 Locus of points that are of constant distance from a straight line: The locus of points that are of constant distance from a straight line is straight lines parallel to that straight line.
 Locus of points that are equidistant from two parallel lines: The locus of points that are equidistant from two parallel lines is a straight line parallel to and passes through the midpoints of the pair of parallel lines.
 Locus of points that are equidistant from two intersecting lines: The locus of points that are equidistant from two intersecting lines is the angle bisector of the angles formed by the intersecting lines.