Difference between Line Segment and Line
When it comes to geometry, the terms line segment and line are often used interchangeably. However, they are not the same thing. Understanding the difference between a line segment and a line is important in several areas, from mathematics to graphic design.
What Is a Line?
A line is a geometric shape that extends infinitely in both directions. It is typically represented by a straight line. A line has no endpoints, and it can be thought of as an invisible connection between two points. A line can be defined by any two points on it, and it is commonly denoted by a lowercase letter in geometry.
Lines are used in various applications, such as in engineering, construction, and graphic design. An example of a line would be the horizon line in a landscape drawing or the lines used to create a floor plan for a building.
What Is a Line Segment?
A line segment, on the other hand, is a portion of a line. It has two endpoints and is also represented by a straight line. Unlike a line, a line segment has a finite length and is denoted by two capital letters with a line over it.
Line segments are commonly used in mathematical calculations and graphics. An example of a line segment would be a side of a triangle, a crosswalk on a street, or a segment of a power line.
The Key Differences Between Line Segment and Line
The main differences between a line segment and a line are:
1. Length: A line segment has a definite length, while a line has an indefinite length and extends infinitely in both directions.
2. Endpoints: A line segment has two endpoints that mark its beginning and end, while a line has no endpoints.
3. Notation: Line segments are typically denoted by two capital letters with a line over it, while lines are denoted by a lowercase letter.
4. Purpose: Line segments are used in geometric calculations and graphic design, while lines are used in various fields, such as engineering, construction, and mathematics.
The Bottom Line
In conclusion, the difference between a line segment and a line should be clear. A line is an infinite straight shape with no endpoints, while a line segment is a portion of a line with two endpoints for a definite length. Understanding their differences can help in various areas, from mathematical calculations to graphic design.
Table difference between line segment and line
| Line Segment | Line | |
|---|---|---|
| Pictorial representation | Has a starting and ending point | Has no definite starting and ending point |
| Length | Has a finite length | Has an infinite length |
| Mathematical notation | Denoted by AB or |AB|, where A and B are the two endpoints of the line segment | Denoted by AB or line AB, where A and B are any two points on the line |
| Equation | Does not have an equation | Has an equation in slope-intercept form (y = mx + b) or point-slope form ((y – y1) = m(x – x1)) |
| Intersection with another line or line segment | Can intersect another line or line segment at one point only | Can intersect another line or line segment at any number of points |