coplanar
In mathematics, coplanar refers to a geometric concept where points, lines, or shapes lie in the same plane
In mathematics, coplanar refers to a geometric concept where points, lines, or shapes lie in the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. If a set of points, lines, or shapes are all contained within the same plane, they are considered to be coplanar.
To understand this concept, let’s consider a simple example. Imagine you have three points, A, B, and C. If all of these points lie on the same flat surface or plane, they are coplanar. However, if you were to place point D slightly above or below this plane, it would no longer be coplanar with points A, B, and C.
Similarly, if you have three lines that are all contained within the same plane, they are coplanar. However, if any of these lines deviates from the plane, they are not coplanar anymore.
In summary, coplanar refers to points, lines, or shapes that lie in the same plane. It is an important concept in geometry and is often used when studying figures and their relationships.
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