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The set of all points in a plane equidistant from a given point?
a circle, centered at the given point.
The locus of all points in space equidistant from a given point?
That's a sphere whose radius is the constant equal distance.
What is the greatest number of planes that can pass through three collinear points?
The points are collinear, and there is an infinite number of planes that contain a given line. A plane containing the line can be rotated about the line by any number of degrees to form an unlimited number of other planes.If, on the other hand, the points are not collinear, then the plane has no wriggle room: it is stuck fast in one place - there can be only one plane containing all the points. Provided they are non-colinear, three points will define a plane.
What is a plane curve that is everywhere equidistant from a given fixed point its center?
A circle.
Does every line have an infinite number of lines parallel to the given line?
Yes it's quite possible if need be.
What is a set of points equidistant from a given point?
sphere
Set of points equidistant from a given point?
A circle
How many points may a line contain?
A line, ray, or line segment contains an infinite number of points.
Set of all points equidistant from a given point?
Circle!
All the points equidistant to a given point would form?
A circle.
Locus of all points in a plane equidistant from a given point?
A Circle.
The set of all points in a plane equidistant from a given point?
a circle, centered at the given point.
Is a geometric figure in which all points in a plane are equidistant from a given point?
Math
What is the set of points in a plane that are equidistant from a given point known as the center?
circle
A parabola is defined as all points equidistant from a given directrix and focus.?
true
Which name desrcribes the set of points equidistant from a given point in space?
Sphere?
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.
