The perpendicular bisector of the straight line joining the two points.
circle
Points equidistant from AB lie on its perpendicular bisector. Points 5 inches from A lie on the circle with centre A and radius = 5 inches. You will have two points where the perp bisector and circle intersect.
That's a sphere whose radius is the constant equal distance.
Another circle midway between the originals.
No. A line is the locus of all points located between any two points.
I believe that is the definition of a straight line.
you dont
circle
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
angle bisector
It is the perpendicular bisector of AB, the line joining the two points.
The perpendicular bisector of the line joining the two points.
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).
a straight line ..
A plane midway between the two given planes and parallel to them.
The locus of all points that are the same distance from two given points is a perpendicular bisector of the line segment connecting those two points. This line is equidistant from each of the two points at all locations along its length.