circle
Yes. This is also seen in conic sections.
A circle, or arc thereof.
Congruent. If the two points are an equal distance from a third point, then those two points are congruent to each other, in respect to the third point. This is a true statement, but it may not be what the question is looking for.
Bisector of an angle, is defined as the set of all points in a plane that are equidistant from the two sides of a given angle.
sphere
A circle
a circle, centered at the given point.
circle
Sphere?
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
the set of points equidistant from a fixed point
You can define a circle as the locus (set) of all points equidistant from a given point.
sphere
The set of all points in the plane equidistant from one point in the plane is named a parabola.
equidistant, the circumference of a circle is formed by equidistant points from the center of the circle. It could also be the surface of a sphere if you are not limited to two dimensions.
They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.