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How is a line properly defined in geometric terms?

Lines are represented by a dot and a capital letter.

Lines are geometric figures made up of two rays or two line segments that have the same endpoint.

A line is a flat surface that extends infinitely in all directions and has no thickness.

A line is a set of points that form a straight pathway extending infinitely in opposite directions.

A line is defined in geometric terms as a set of points that form a straight pathway extending infinitely in opposite directions. This definition captures the essential characteristics of a line in Euclidean geometry. It emphasizes that a line has no endpoints, extending infinitely in both directions, which is a fundamental property of lines. This infinite nature is what differentiates lines from line segments, which have defined lengths and endpoints.

The other options do not adequately describe what a line is. For instance, the choice suggesting that lines are represented by a dot and a capital letter refers to a naming convention rather than defining the geometric concept itself. The option relating to geometric figures made up of rays or line segments inaccurately describes lines, as those are actually definitions for segments or rays but not for a single line. Lastly, describing a line as a flat surface that extends infinitely does not apply, as that description pertains to planes rather than lines. Thus, the definition of a line as a set of points extending infinitely in both directions is the most accurate and widely accepted interpretation in geometry.

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