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], we should analyze each of the given options:
1. Distance:
- Distance refers to the measure of the space between two points. While it can be calculated using coordinates, it is not itself a location designated by coordinates.
2. Line:
- A line is made up of an infinite number of points extending in both directions. It is not represented by a single pair of coordinates but rather by a linear equation or two points through which it passes.
3. Plane:
- A plane is a flat, two-dimensional surface that extends infinitely in all directions. It is not defined by a single pair of coordinates but by three non-collinear points or an equation.
4. Point:
- A point represents a specific location in a coordinate plane, and it is designated by an ordered pair [tex]\((x, y)\)[/tex].
Given these analyses, the geometric term that is best described as a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex] is clearly:
Point.
So the correct answer is: Point.
