The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.
4
2
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
the pair of lines bisecting the angles formed by the given lines
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.
2
4
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
circle
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
A Circle.
Lines intersecting at a point are known as co-linear.
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
Parallel lines, by definition, never meet or intersect, as they are always equidistant from each other. If lines do meet, they are not parallel. If two lines that are not parallel intersect at a single point, they are referred to as intersecting lines.