What is a Line?
A line has length but no width, making it a one-dimensional shape. A line is made up of a collection of points that can be stretched indefinitely in opposite directions, which implies that a line has no endpoints. There are also collinear points, defined as points that are located on the same line.
What are the Properties of a Line?
- A line is a collection of points in a straight direction
- A line does not have end points
- Both sides of the line can be stretched to infinity
- It is a one dimensional figure, and it has only length
What is a Line Segment?
A line segment is a part of a line that includes two endpoints and all of the points between them.
Properties of a Line Segment
- It is a defined part of a line
- It has two endpoints
- It is a one dimensional figure which has only length as a measurable quantity
Solved Line and Line Segment Examples
Example 1: Name as many lines and line segments as you can from the image.
Solution:
In the image that is provided,
The line is:
- Line AC or \(\overline{AC} \)
The line segments are:
- Line segment AB
- Line segment BC
- Line segment AC
Example 2:
Label two line segments and lines from the given figure.
Solution:
The lines are:
- Line FD
- Line CE
The line segments are:
- Line segment AB
- Line segment CD
- Line segment AC
- Line segment AF
- Line segment AD
- Line segment CE
- Line segment FD
- Line segment BC
- Line segment AE
Example 3:
Renny was asked to deliver newspapers to four houses as shown in the map. He was thinking that if he had the ability to fly he could easily fly across these houses. What would the trajectories look like if Renny could fly, provided that he did not have to travel in the same order as given on the map.
Note: The starting point of Renny’s journey should be A.
Solution:
The other trajectories are:
Hence, the different trajectories Renny can take to reach the point D are as follows.
- AB, BC, CD
- AB, BD, DC
- AC, CB, BD
- AC, CD, DB
- AD, DB, BC
- AD, DC, CB
A line segment has two endpoints but a line does not. A line segment is a part of a line.
A ray is a part of a line that has one endpoint, and the other end can be extended till infinity.
The value of the length of a line can have units such as millimeters, centimeters, inches, feet, yards, meters, kilometers, or miles.