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Sagot :
To determine which undefined geometric term can be described as a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex], let's analyze the given options:
1. Distance: Distance is a measure of how far apart two points are. It is not represented by a single ordered pair [tex]\((x, y)\)[/tex].
2. Line: A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line can be represented by an equation such as [tex]\(y = mx + b\)[/tex], but it is not described by a single ordered pair [tex]\((x, y)\)[/tex].
3. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. While a plane can contain numerous points, it is not described by a single ordered pair [tex]\((x, y)\)[/tex].
4. Point: A point is an exact location in space and has no dimensions. On a coordinate plane, a point is represented by an ordered pair [tex]\((x, y)\)[/tex].
Given these explanations, the term that correctly matches the description— a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex]—is a point.
Thus, the correct answer is:
point.
1. Distance: Distance is a measure of how far apart two points are. It is not represented by a single ordered pair [tex]\((x, y)\)[/tex].
2. Line: A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line can be represented by an equation such as [tex]\(y = mx + b\)[/tex], but it is not described by a single ordered pair [tex]\((x, y)\)[/tex].
3. Plane: A plane is a flat, two-dimensional surface that extends infinitely in all directions. While a plane can contain numerous points, it is not described by a single ordered pair [tex]\((x, y)\)[/tex].
4. Point: A point is an exact location in space and has no dimensions. On a coordinate plane, a point is represented by an ordered pair [tex]\((x, y)\)[/tex].
Given these explanations, the term that correctly matches the description— a location on a coordinate plane designated by an ordered pair [tex]\((x, y)\)[/tex]—is a point.
Thus, the correct answer is:
point.
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