In this post, we are going to discover what an open line is and how it is different from a closed line. We will also see different types of open lines.
Before we begin, take a look at this post about straight and curved lines to refresh your memory.
Open Lines
We know that a line is open because its endpoints do not connect.
In this picture, you can see that the line begins at one point and ends at another. Since they do not connect, we know that it is open.
Closed Lines
On the other hand, we can draw closed lines without lifting our pencil off the paper, starting and ending at the same point.
The answer is closed. Try and see if you can draw the shape without lifting your pencil off the page, starting and ending at the same point!
Types of Open Lines
They are classified according to their shapes. Let’s learn about some types of open lines and how to classify them:
Straight Open Line
It is a series of points that are lined up one after another, all in the same direction. It is also the shortest path between two points.
Curved Open Line
The points on the line are always changing direction.
Polygonal Open Line
It consists of more than one open straight line with points going in different directions. These lines have the following shape:
Mixed Open Line
It is a mixture of open curved and open straight lines.
Activity with Open Lines
Now that we know what an open line is, let’s test our knowledge! In this section, we will look at an activity from a Smartick tutorial to check what we’ve just learned.
Classify the Following Lines
I hope that you have had fun learning with us. If you would like to keep learning and practicing, log in to Smartick and try our method for free!
Answers:
Image 1: straight open
Image 2: polygonal open
Image 3: polygonal closed
Image 4: curved open
Image 5: curved closed
Learn More:
- Learn about Open and Closed Curves
- How to Identify Open and Closed Polygonal Lines
- Learn More about Straight Lines
- Lines: What They Are, Types, and Examples
- Geometric Figures and Straight Lines
A multidisciplinary and multicultural team made up of mathematicians, teachers, professors and other education professionals!
They strive to create the best math content possible.
- The Language of Functions and Graphs - 07/01/2024
- Educational Technology: The Christodoulou Test - 05/06/2024
- Multiplication Activities in Smartick - 04/09/2024