Curved lines and straight lines. This week’s post will teach you how to differentiate between open and closed curves.
The first item on our agenda is: Do you know what a curve is? A curve is a succession of points that constantly change direction, in other words, it isn’t straight.
The image below shows a succession of points that always go in the same direction. When the points are connected, they form a straight line.

In the image below, we can see a succession of points that constantly change their direction. When these points are connected, they form a curve.

Within curved figures, we can find open and closed curves.
Open curves are the ones where it is impossible to reach the starting point again if we were to follow the succession of points with a pencil, without lifting it from the paper.
This is an example of an open curved line:

The closed curves are the ones where we can return to the starting point if we were to follow the dots with a pencil, without lifting it from the paper.
This is an example of a closed curved line:

Here are some other examples of open and closed curves:
Open Curved Figures:

Closed Curved Figures:

It’s easy, right? If you enjoyed this post and learned how to distinguish between open and closed curves, share it with your friends and classmates so they can learn about them, too.
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Learn More:
- Elementary Geometry – Open Figures
- Learn More about Straight Lines
- How to Identify Open and Closed Polygonal Figures
- Lines: What They Are, Types, and Examples
- Geometric Figures and Straight Lines





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