Coplanar
In mathematics, objects are said to be coplanar if they all lie on the same plane
In mathematics, objects are said to be coplanar if they all lie on the same plane. A plane is a flat surface that extends infinitely in all directions. Therefore, when a set of points, lines, or shapes are coplanar, it means that they can all be contained within a single plane without any of them extending above or below it.
To understand coplanarity, imagine holding a sheet of paper and placing several dots or drawing several lines on it. If all the dots or lines remain on the surface of the paper and do not extend beyond it, they are coplanar. However, if any of the dots or lines extend above or below the paper, they are not coplanar.
In a more formal definition, a set of points are considered coplanar if there exists a flat plane that contains all of them. Similarly, a set of lines are coplanar if they all lie on the same plane, and a set of shapes (e.g., triangles, rectangles) are coplanar if all their points lie on the same plane.
The concept of coplanarity is important in geometry and various applications of mathematics, including architectural design, engineering, and computer graphics. Understanding whether objects are coplanar or not helps in visualizing and analyzing their spatial relationships.
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