The set of all points in the plane equidistant from one point in the plane is named a parabola.
a circle, centered at the given point.
parabola
All points equidistant from a center point.
True
EquidistantIt's called the center or origin of the circle. All points on a circle are equidistant from the center
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
A Circle.
Math
a circle, centered at the given point.
The center of the circle. That's how the circle is defined. (The collection of all points on a plane equidistant from a fixed point. The fixed point is the center and the fixed distance is the radius.)
That set of points forms what is known as a "circle".
All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center point.
A line.
parabola
In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
If your asking "What is ...?" Then, the answer is a circle. This is the definition of a circle!
I believe that's a circle...