Acircle is the collection of points in a plane that are the same distance from a given point in the plane.

a. true

b. false

True - The above statement is true

A circle is the collection of points in a plane that are the same distance from a given point in the plane.

Step-by-step explanation:

A circle is the set of points in a plane that are a given distance from a given point in the plane. The given point is the center of the circle, and the given distance is the radius.In other words; A circle is the set of points in a plane that are equidistant from a given center point.  Therefore; the locus of points at a fixed distance, d, from the point, P is a circle with the given point P as its center and d as its radius.