Final answer:
Collinear points are those that lie on the same straight line, an important concept in geometry for determining the arrangement of points.
Step-by-step explanation:
Collinear points are those points that lie on the same straight line. In geometry, when three or more points are described as collinear, it means they all share the characteristic of being positioned on a common line. This line is continuous and extends infinitely in both directions. Whether it's two points, three points, or more, if they are all on the same line, they are considered collinear.
The term "collinear" derives from the Latin words "co-" meaning "together" and "linearis" meaning "pertaining to a line." Therefore, collinear points share the same linear path and can be connected without any curves or angles between them, forming a single straight line. Understanding collinear points is fundamental in geometry as it helps determine relationships between points, lines, and shapes, facilitating the study and analysis of geometric figures in various mathematical contexts.