Coplanar
In mathematics, the term “coplanar” refers to a set of points or objects that lie on the same plane
In mathematics, the term “coplanar” refers to a set of points or objects that lie on the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. If a set of points or objects, such as lines, line segments, or shapes, are coplanar, it means they can all be contained within the same plane without any of them extending above or below the plane.
To determine if a set of points or objects are coplanar, you can imagine drawing a plane through them. If the plane can contain all the points or objects, then they are coplanar. For example, if you have three non-collinear points (points that do not lie on the same line), they are always coplanar because they can always lie on a plane. Similarly, if you have multiple lines or line segments, they are coplanar if they can all lie on the same plane.
It is important to note that coplanarity applies to objects in three-dimensional space. In two-dimensional space, all objects are by default coplanar because they lie on the same plane. However, in three-dimensional space, not all points or objects are coplanar unless they can be contained within the same plane.
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