What is the Difference Between Line and Line Segment?

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The main difference between a line and a line segment lies in their endpoints and extent. Here are the key differences:

  • Line: A line is a straight path on a plane that extends forever in both directions with no endpoints. It is a one-dimensional geometrical figure that extends indefinitely. A line can be represented using arrowheads at both ends, indicating that it goes on forever in both directions.
  • Line Segment: A line segment is part of a line that has two endpoints and is finite in length. It is a straight line that passes through two points, and it has a definite length. A line segment can be measured using a ruler or an inch scale.

In summary:

  • A line has no endpoints and extends infinitely in both directions.
  • A line segment has two endpoints and is finite in length.

Comparative Table: Line vs Line Segment

Here is a table highlighting the differences between a line and a line segment:

Feature Line Line Segment
Definition A line is a one-dimensional shape that extends infinitely in both directions. A line segment is a part of a line and is the shortest distance between two points.
Extent A line extends infinitely in both directions. A line segment has a defined beginning and ending point, and can be measured in length.
Endpoints A line has no starting or endpoint. A line segment has a starting point and an endpoint.
Measurement A line cannot be measured as it has no end and extends up to infinity. A line segment can be measured in length as it has two fixed endpoints.
Representation A line is denoted by any two points lying on the line. A line segment is denoted by two points with a bar symbol (e.g., (\bar{xy}) ) connecting them.

In summary, a line is a continuous, unbound shape that extends infinitely in both directions, while a line segment is a part of a line with defined beginning and ending points, and can be measured in length.