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co-planar

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Q: What is it called when a point lies in the same plane?
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What are all of the point on a plane that are the same distance from a single point called the center?

That's called a "circle".


What is called when two lines are not in the same plane and do not intersect?

I believe this is possibly called a vector. They begin at the same point, however, they do not run on the same plane, nor do the intersect. As I said, they do begin at the same point and form a triangle.


What is if two lines lies in the same plane and have more then one point in common?

They must be the same identical line, otherwise it's impossible.


What is the set of points in a plane that are same from a givin point called the center?

This is the definition of a circle


How do you determine if a point lies on the same line?

A point lies on a line if the coordinates of the point satisfy the equation of the line.


What term applies to two lines in the same plane if they have no common plane?

If they are in the same plane, then they share a common plane. Did you mean to say common point. If that's the case where they are in the same plane, but do not share a common point, then they are parallel lines.


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 : )


What is a point that do not lie on the same plane?

a truthfull point


Point that lies on the same line?

ray


What are points in the same plane called?

Points that are within the same plane are called co-planer.


What term describes the collection of all the point in a plane that are the same distance from a given point on a plane?

A circle


What is a point that lie on the same plane?

Coplanar.