Coplanar
In mathematics, the term “coplanar” refers to a set of points or geometric figures that lie in the same plane
In mathematics, the term “coplanar” refers to a set of points or geometric figures that lie in the same plane. In a three-dimensional space, a plane is a two-dimensional flat surface that extends infinitely in all directions. Therefore, when we say that points or figures are coplanar, it means that they exist within the same flat surface.
For example, consider three points, A, B, and C, in three-dimensional space. If these points can be connected by a single plane, then they are coplanar. In other words, if there exists a flat surface that contains all three points, they are said to be coplanar. On the other hand, if the three points are not on the same plane and cannot be contained within a single flat surface, they are non-coplanar.
In addition to points, other geometric figures such as lines and polygons can also be coplanar. For instance, if two lines lie in the same plane, they are coplanar lines. Similarly, if three or more line segments or polygons lie in the same plane, they are coplanar as well.
Understanding the concept of coplanarity is useful in various fields of mathematics, particularly in geometry and spatial reasoning. It allows us to analyze and solve problems involving points, lines, and shapes located within a common plane.
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