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Two points are collinear if there is a line going through them. A higher-dimensional counterpart to this is "coplanar": objects are coplanar if there is a plane that contains the objects. There's always a plane containing any three points, so you'd need at least four points (in at least three dimensions) for this distinction to be meaningful. However, it's also possible to discuss two or more coplanar lines, for example - if two lines are not coplanar, they are called skew. To visualize this, imagine a bridge crossing a river: the bridge and the river could be extended into lines that are not contained in any common plane. Beyond coplanar objects, it's possible to discuss "cospatial" objects that lie in the same three-dimensional space. However, you'd need at least four dimensions to even talk about this, since in three dimensions everything is cospatial, in a way. Another related concept to collinear is "concurrent." This refers to three or more lines (or circles) that all intersect at the same point.

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What is pyramid is to square as circle is to?

A pyramid is a three-dimensional shape with a square base, just as a circle is a two-dimensional shape. Therefore, the analogy can be completed with "sphere," as a sphere is the three-dimensional counterpart to a circle, much like a pyramid is to a square.


Which of these applies to form one-dimensional two-dimensional or three-dimensional?

two-dimensionalOn a+ the answer is three-dimensional


Two or more points are if they lie on the same line?

collinear


Is a triangle two dimensional or three dimensional?

Two-dimensional.


Who shapes be defined as two-dimensional?

Nobody shapes can be defined as two-dimensional. All people are three dimensional. Nobody shapes can be defined as two-dimensional. All people are three dimensional. Nobody shapes can be defined as two-dimensional. All people are three dimensional. Nobody shapes can be defined as two-dimensional. All people are three dimensional.


What does it mean for two points to be collinear?

"Collinear" means "on the same straight line".Two points are always collinear, because you can always draw a straight linebetween any two points. Three points may or may not be collinear.


Does a plane contain at least two collinear points?

Yes, a plane contains at least two collinear points. In geometry, a plane is defined as a flat, two-dimensional surface that extends infinitely in all directions. Since any two points can be connected by a straight line, it follows that there are always at least two points within a plane that are collinear.


Which of these applies to form one dimensional two dimensional or three dimensional?

three dimensional


What is the difference between collinear and non collinear?

In order for three or more points to be collinear, they must lie on the same line. Two points would always be collinear. Noncollinear are points that do not lie in the same line.


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Are three points always collinear?

No but they are always coplanar.


What are two or three points if they lie on the same line?

They are said to be collinear.

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