- What Is the Difference Between a Line and a Line Segment?
- How Is a Line Different from a Line Segment?
- Difference Between a Line and a Line Segment: Chart
- Solved Examples on Difference Between Line Segment and Line
- Practice Problems on Difference Between Line Segment and Line
- Frequently Asked Questions on the Difference Between Line Segment and Line

## What Is the Difference Between a Line and a Line Segment?

**The difference between a line and a line segment is that a line segment has two ****endpoints**** (has a finite length), whereas a line does not have endpoints (extends infinitely in both directions).**

A line is a basic and simple shape in geometry. Look around, and you can see lines in different shapes and everyday objects! Every shape that we study in geometry is made by joining a number of lines.

A line can be extended infinitely in the opposite directions. A line segment is part of a line, and has two definite endpoints. It has length, but it does not have a width and depth.

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## Definition of Line

**A line is defined as a straight one-dimensional geometric shape that does not have a thickness, and it extends endlessly in both directions.**

A line has infinite length. We show it by drawing arrows at both ends. A line can be named by any two points lying on the line. We can also name a line using a single lowercase letter.

Take a look at the picture given below.

The notation for line AB is .

Here, we have a line m.

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## Definition of Line Segment

A line segment is defined as a section of a line bounded by two points or connecting two points. It is the shortest distance between two points that can be measured.

The notation of a line segment is given by two endpoints with the bar symbol $( \overline{} )$ on top.

If a line segment has endpoints P and Q, it can be written as $\overline{PQ}$. Note that line segment PQ is the same as line segment QP.

## How Is a Line Different from a Line Segment?

The key difference between a line and a line segment is that a line is extended in both directions infinitely. It has infinite length. We show it by drawing arrows on both sides. However, a line segment has two defined endpoints, thereby a definite length.

## Difference Between a Line and a Line Segment: Chart

Line vs. Line Segment | |

Line | Line Segment |

A straight path formed by a set of collinear points is called a line. | A line segment is a part of a line with two endpoints. |

Lines do not have a starting point or an endpoint. | Line segments do have a starting point and an endpoint. |

A line extends in both directions. | A line segment does not extend in both directions. |

The length of the line cannot be measured. It has infinite length. | The length of the line segment can be measured. It has finite length. |

Lines are long and continuous. | Line segments are short and basically a section of the line. |

Line AB is denoted as . | The line segment AB is denoted as AB. |

## Facts about the Difference between Line Segment and Line

- Euclid, a Greek mathematician—fondly known as the Father of Geometry—introduced the concept of a line. He defined it as “a breadthless length.”
- A ray is a geometric figure that has a starting point but no endpoint. It extends infinitely in one direction.
- A set of three or more points are called collinear points if they lie on the same line.
- Only one line can pass through two given points.
- A line and a line segment are one-dimensional shapes.

## Conclusion

In this article, we have learned about the definition of a line and a line segment and the differences between them. Let’s solve some examples to understand the concept better.

## Solved Examples on Difference Between Line Segment and Line

**1. Which of the following diagrams is a line segment ?**

**Solution: **

Diagram i) is a line segment as it has 2 definite endpoints.

Diagram ii) is a line as it extends endlessly in both the directions.

Diagram iii) is a ray since it has a starting point but no endpoint.

Diagram iv) is a point.

**2. Name the following figures.**

** (a) (b)**

**Solution: **

The figure (a) is a line segment. It is represented as AB.

The figure (b) is a line with points A and B lying on it. Line AB is denoted as .

**3. Write all the possible line segments in the given figure.**

**Solution: **

Here, we can find all the possible line segments by taking any two endpoints.

Line segment AB: AB

Line segment BC: BC

Line segment CD: CD

Line segment AD: AD

Line segment BD: BD

Line segment AC: AC

**4. Write whether the following statements are correct or incorrect. Correct the incorrect ones.**

**A. A line segment has one endpoint.**

**B. A line is a part of the line segment.**

**C. A line segment has a fixed length.**

**Solution:**

**A. A line segment has one endpoint.**

The given statement is incorrect.

A line segment has two endpoints.

**B. A line is a part of the line segment.**

The given statement is incorrect.

A line segment is a part of the line.

**C. A line segment has a fixed length.**

The given statement is correct.

## Practice Problems on Difference Between Line Segment and Line

## Difference Between Line and Line Segment – Definition, Examples

### A one-dimensional figure, which has length, but no width is called ________.

A one-dimensional figure, which has length but no width is called a line.

### ________ can be extended in both directions infinitely.

A line can be extended infinitely in both ends towards the opposite directions.

### Identify the name of the red part in the given figure.

A line segment is a section of a line formed by connecting two distinct points. Here, the red section is a part of the blue line. It connects two points, A and B.

### Which of these notations represent a line segment?

A line segment is usually represented by the bar symbol $(\overline{ })$ on top of the endpoints. Say, a line segment has endpoints P and Q, it can be denoted as $\overline{PQ}$.

### Which of the following is NOT TRUE ?

In geometry, a line is a one-dimensional figure.

## Frequently Asked Questions on the Difference Between Line Segment and Line

**What is a ray?**

A ray is a part of a line that has a fixed starting point but no endpoint. It can extend infinitely in one direction. Since a ray has no endpoint, we can’t measure its length.

A ray is denoted by drawing a small ray on top of the name of the ray.

**What are collinear points?**

Collinear means lying on the same line. Three or more points are said to be collinear if they lie on a single straight line.

**What is the difference between a line segment and a ray?**

Line Segment | Ray |
---|---|

A line segment is a part of a line with two endpoints. | A ray is a part of a line that has a fixed starting point but no endpoint. |

The length of a line segment is definite. So, it can be measured. | As a ray has no endpoint, its length cannot be measured. |

The line segment AB is denoted as AB. | When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. |

**What is the maximum number of points that a line can consist of?**

A line consists of an infinite number of points.

**What are some everyday examples of line segments ?**

We may find various examples of line segments surrounding us, such as the edge of tiles, the edges of rulers, the edge of a rectangular table, the edge of a book, etc.

**Is line AB the same as line BA? Can line AB be written as line BA?**

Yes, both notations denote the same line since a line extends infinitely on both sides.

**Is the length of the line segment PQ the same as the length of the line segment QP?**

Line segments PQ and QP represent the same segment since the endpoints are the same.