What defines coplanar points?

Coplanar points are defined as points that lie on the same plane. This means that they can all be located within a flat, two-dimensional surface, and you could draw a plane that passes through all of these points without any of them being above or below that plane.

This concept is fundamental in geometry, as understanding the relationships between points, lines, and planes is key to studying shapes and their properties. When points are coplanar, it opens up possibilities for defining lines and shapes that rely on the concept of a flat surface, like triangles or quadrilaterals.

In contrast to other choices, points that lie on the same line indicate that they are collinear rather than coplanar. Points on different planes would imply they cannot be coplanar since they exist in separate surfaces. Lastly, points that are not connected do not provide any specific information regarding their spatial arrangement in relation to a plane. Therefore, identifying coplanar points focuses specifically on the condition that they all exist within a singular plane.