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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 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 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.


Point A lies outside of plane P. How many planes can be drawn parallel to plane P that pass through point A?

There is exactly one plane that can be drawn parallel to plane P that passes through point A. Since parallel planes share the same orientation and direction, any plane that is parallel to plane P must maintain the same angle and distance from the points on plane P. Therefore, the plane through point A will be uniquely defined and parallel to plane P.


Point A lies outside of plane P how many lines can be drawn parallel to plane P that pass through point A?

Only one line can be drawn parallel to plane P that passes through point A. This line will be oriented in the same direction as the plane, remaining equidistant from it. All other lines passing through point A will either intersect the plane or be skew to it.


What is two lines in the same plane called?

Two lines in the same plane are called "coplanar lines." If they do not intersect, they are referred to as "parallel lines." If they intersect at a single point, they are simply called "intersecting lines."


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.


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 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.


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

a truthfull point


Point that lies on the same line?

ray