To determine which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair [tex]\((x, y)\)[/tex], let us analyze the options provided:
1. Distance: Distance refers to the length between two points on a coordinate plane. It is a measurement rather than an actual location.
2. Line: A line in geometry is a straight one-dimensional figure that extends infinitely in both directions. It is typically defined by two points or an equation rather than a single ordered pair.
3. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. It is not designated by a single ordered pair but rather by multiple points or other geometric figures.
4. Point: A point is a fundamental concept in geometry that represents an exact location on a coordinate plane. It is designated by an ordered pair [tex]\((x, y)\)[/tex], corresponding to its coordinates on the plane.
Given these analyses, the correct term describing a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex] is:
[tex]\[ \boxed{\text{point}} \][/tex]
Therefore, the correct answer is point.
