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What geometric figure is described as the set of points equidistant from a fixed point?

It could be a circle or a sphere


Briefly explain the focus and directrix of a parabola?

the set of points equidistant from a fixed point


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 the meaning of circle in math?

It is a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).


What is a point that is equidistant from all points on a circle?

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.)


What is the locus of points in a plane that are equidistant from two fixed points?

I believe that is the definition of a straight line.


A perfectly round shape with all points equidistant from a fixed point or center is what?

a sphere


What is a three-dimensional surface in which all points are equidistant from a fixed point?

A 'spherical' surface.


What 3-dimensional figures is made from a set of points in space that are equidistant from a fixed point?

Sphere


Is the set of all points in a plane that are equidistant from a fixed point of the plane called the center?

That set of points forms what is known as a "circle".


What is a plane that curves with each point on the curve of being equidistant from a fixed point at the center of the figure?

a globe.


How is the word 'sphere' defined?

A sphere is a solid figure in which every point is equidistant from a fixed point called the center.