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Sometimes, but only sometimes.
A straight line in two dimensional space will partition it into points on the line, on one side of it and those on the other side of it. The same will apply to some simple curves including simply closed curves. But it will not apply to any curve that crosses itself more than once, nor will it apply to lines in 3-dimensional space.
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When you Visualize 2 distinct points on a line. The points divide the line into separate regions. How many distinct regions is the line divided into?
It is divided into three regions.
Can three points determine space?
Three points can determine a plane but not 3-d space.
Any three points lie on a distinct line?
true
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
How many planes are determined by three distinct points that are not on the same line?
one
When you Visualize 2 distinct points on a line. The points divide the line into separate regions. How many distinct regions is the line divided into?
It is divided into three regions.
What is the maximum number of points of intersection when three distinct circles and four distinct lines?
discuss the possible number of points of interscetion of two distinct circle
Can three points determine space?
Three points can determine a plane but not 3-d space.
Any three points lie on a distinct line?
true
If three distinct points are not col-linear how many planes can possibly contain the three points?
Three non-co-linear points are sufficient to uniquely define a single plane.
A line and a point not on the line are never coplanar?
No, they always are From Wikipedia.org, "The World's Encyclopedia" when I searched coplanar In geometry, a set of points in space is coplanar if the points all lie in the same geometric plane. For example, three distinct points are always coplanar; but four points in space are usually not coplanar. Since 3 points are always coplanar. A point and line are always coplanar
How many planes are determined by three distinct points that are not on the same line?
one
Is it possible for three points to lie in two distinct planes?
Yes, of course it is.
How many points make a plane?
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
Are any three points coplanar?
In 3-dimensional space, yes, any three points are coplanar.
A set of three or more points not on the same line are points?
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).
How many points are necessary to define a line?
In Newtonian three dimensional space, two points can create a line, three to "define" it. In Einsteins "time-space", a minimum of four points are required.
