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They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.

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14y ago

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A set of points that are ALL THE same distance from a given point?

The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. Or, in 3 dimensional space, a sphere.


What is the set of all points a given distance from a fixed point?

The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.


The set of points in space that are a given distance from a given point is?

A spherical surface, with its center at the given point, and its radius equal to the given distance.


What is the set of points in a space that are a given distance from a given point?

They form the sphere whose center is the given point and whose radius is the given distance.


What are all points in a plane equidistant from a given point?

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.


What is the set of all points in a plane that are a given distance from a given point?

That's a "circle". The given distance is the circle's radius, and the given point is the circle's center.


The set points in space that are a given distance from a given point is?

In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.


Which geometric object is defined as the set if all points in a plane at a given distance at a given point?

A circle is the set of all points in a plane at a given distance FROM a given point, which is known as the circle's center.


What is the set of points in a plane that are given distance from a point?

That's a figure called a "circle". The given distance is the circle's radius, and the point is its center.


What is a shape consisting of all the points a given distance from a center point?

A circle.


Is a solid with all points the same distance from a given point called the center?

It is a sphere.


The set of all points in a plane that are the same distance from a given point?

circle, but the given end point is called the center of a circle : )