What Is an Open Shape?
In geometry, open shapes are defined as shapes or figures with different starting and ending points. In other words, the ends of an open shape do not meet.
On the other hand, closed shapes are shapes or figures having the same starting and ending points.
Here are some open shape examples:
Recommended Games
Open Shapes Around You
Let’s find open shapes in things around us. Here are some examples:
Features of Open Shapes
Look at the given skipping rope. Do the ends of the rope meet?
Clearly, the ends don’t meet. This means the starting and the ending point of the rope are different. So, it is an open shape.
Also, observe that, since their ends do not meet, open shapes do not have a fixed area.
Let us try something exciting. Let’s drop a bunch of stones over the skipping rope.
Is stone A lying inside the rope, on it, or outside it? It is lying on the skipping rope. Similarly, stone E is also lying on it.
Now, stone B is not lying on the rope. So, is it lying inside it or outside it? We cannot say! Since the jumping rope does not have a fixed area, we cannot say whether stone B is lying inside or outside. Similarly, we cannot say whether stones C and D are lying inside or outside the shape.
Therefore, since the ends of an open shape do not meet, it does not have well-defined interior and exterior regions.
Open And Closed Shapes
Look at the figures below:
In figure A, there are no open ends. That is, it has the same starting and ending points. Therefore, it is a closed shape.
On the other hand, starting points and ending points are different in figure B. Therefore, it is an open shape.
Let us note a few more differences:
Let’s Revise
To sum up, there are two types of shapes: open and closed shapes.
Open shapes are figures or shapes that have different starting and ending points. Their ends are open, i.e., do not meet.
Since they have open ends, these shapes do not have a fixed area. Also, they do not have a well-defined interior and exterior region.
Solved Examples
Example 1: Give some examples of open-shaped letters of the English alphabet.
Solution: Some open-shaped letters of the English alphabet are C, M, U, W, N, etc.
Example 2: Is a semicircle an open shape or a closed shape?
Semicircle is an open shape as it has different starting and ending point.
3. Which of the following is not an open shape?
Solution: Clearly, shape d does not have any open ends, so it is a closed shape.
Practice Problems
Open Shape - Definition with Examples
Which of the following is not an open-shaped letter of the English alphabet?
The letter “O” is a closed shape as its starting and ending points are the same.
Which of the following is not a characteristic of an open shape?
Open shape do not have well-defined area because it does not have closed boundary.
Which of the following is an open shape?
Figure b has different starting and ending points. Therefore, it is an open shape.
Frequently Asked Questions
How can you make an open shape a closed one?
If we join the ends of an open shape, we will get a closed shape.
Is the line segment an open shape?
Yes, line segments is an open shape as it has different starting and ending point.
Do open shapes have a perimeter?
No, since the ends of an open shape do not meet, they do not have a well-defined boundary. Therefore, open shapes do not have a perimeter.
