Which Defines a Line Segment?
In geometry, a line segment is a part of a line that has two distinct endpoints. It is a one-dimensional figure, meaning that it has length but no width or height.
Which defines a line segment?
There are two main properties that define a line segment:
- End points: A line segment has two distinct endpoints. These endpoints are the only points that are on the line segment.
- Length: A line segment has a fixed length. This length is the distance between the two endpoints.
Questions related to which defines a line segment:
- What is the difference between a line segment and a line?
A line segment is a part of a line, while a line is an infinite set of points that extends in both directions. A line segment has two endpoints, while a line has no endpoints.
- What are the different types of line segments?
There are three main types of line segments:
* **Closed line segment:** A closed line segment includes both endpoints. * **Open line segment:** An open line segment excludes both endpoints. * **Half-open line segment:** A half-open line segment includes exactly one of the endpoints. - How do you find the length of a line segment?
The length of a line segment can be found using the distance formula. The distance formula states that the distance between two points is equal to:
d = √(x1 - x2)^2 + (y1 - y2)^2 where:
- d is the distance between the two points
- x1 and x2 are the x-coordinates of the two points
- y1 and y2 are the y-coordinates of the two points
Examples of line segments:
- A ruler is a straight object with a fixed length. It is an example of a line segment.
- The side of a triangle is an example of a line segment.
- The edge of a piece of paper is an example of a line segment.
Conclusion
A line segment is a one-dimensional figure that has two distinct endpoints and a fixed length. It is a fundamental concept in geometry that is used in many different mathematical applications.
