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Q: Is a geometric figure in which all points in a plane are equidistant from a given point?
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This is a geometric figure in which all points in a plane are equidistant from a given point?

If your asking "What is ...?" Then, the answer is a circle. This is the definition of a circle!


Which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle?

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.


Which geometric object is defined as the set of all points in the plane that are equidistant from two points?

Parallel lines could fit the given criterior


Which geometric object is defind as the set of all points in a plane that are equidistant from the two sides of a given angle?

angle bisector


Which geometric object is defined as the set of all points in one plane that are equidistant from two points?

Parallel lines could fit the given criterior


A set of points all a given distance from a center point?

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


What is a space figure who set of all points on the surface are equidistant from the center?

A sphere would fit the given description.


What figure is the locus of all points that are equidistant from two fixed points?

A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points


What is a set of points equidistant from a given point?

sphere


Set of points equidistant from a given point?

A circle


Set of all points equidistant from a given point?

Circle!


Infinite number of points equidistant from a given point?

a circle?