Certainly! Let's examine each of the geometric terms given in the question and identify which one correctly matches the description provided. The description states that the term is a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex].
1. Line:
- A line is an infinite set of points that extends in both directions without end.
- It is typically described by a linear equation in the form [tex]\(Ax + By = C\)[/tex].
- A line is not defined by a single pair of coordinates [tex]\((x, y)\)[/tex] but by a continuous set of such pairs.
2. Distance:
- Distance is a measure of how far apart two points are.
- It is a numerical value and is not represented as an ordered pair on the coordinate plane.
- Though distance may be calculated using coordinates, it itself is not a location on the plane.
3. Plane:
- A plane is a flat, two-dimensional surface that extends infinitely in all directions.
- It can be described by a coordinate system but is not limited to a single ordered pair [tex]\((x, y)\)[/tex].
- A plane provides a context for the coordinate system but is more than just a single location.
Considering the descriptions above, the term that fits the given definition—a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex]—is a point.
A point is specifically defined as an exact location on the coordinate plane and is represented by an ordered pair [tex]\((x, y)\)[/tex]. Therefore, the correct answer to the question is:
- Point (corresponds to number 1 in the list).
