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Closed Shape – Definition, Examples | EDU.COM

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Closed Shape – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Closed ShapeClosed Shape – Definition, ExamplesTable of ContentsClosed Shapes in Geometry Definition of Closed Shapes

In geometry, a closed shape can be defined as an enclosed shape or figure whose line segments and/or curves are connected or meet end to end. The key characteristic of a closed shape is that it starts and ends at the same point, creating a complete boundary with no gaps. The minimum number of sides required to form a closed shape is three, which creates a triangle.

Closed shapes in geometry come in many forms. The most basic polygon is a triangle, which has three sides and three vertices. Other examples include circles (which have one face and no sides or vertices), quadrilaterals like squares and rectangles (four sides and four vertices), and pentagons (five sides and five vertices). It's important to note that all polygons are closed shapes by definition, as their boundaries form complete loops.

Examples of Closed Shapes Example 1: Identifying an Octagon as a Closed Shape Problem:

How many sides does this shape have? Is the shape closed or open?

Identifying an Octagon as a Closed Shape

Step-by-step solution: Step 1, Count the number of straight lines in the shape. When we count carefully, we find there are eight straight lines connected to each other. Step 2, Identify the shape based on the number of sides. Since it has eight sides, this shape is an octagon. Step 3, Check if the shape is closed or open. We need to see if we can trace the outline without any gaps. Since we can trace around the entire octagon without lifting our pencil and return to the starting point, it is a closed shape. Example 2: Understanding Closed Shapes Without Straight Lines Problem:

Are straight lines necessary to make closed shapes?

Step-by-step solution: Step 1, Think about what makes a shape "closed." Remember that a closed shape is one where the boundary has no gaps and returns to the starting point. Step 2, Consider shapes with curves instead of straight lines. Shapes like ovals and circles have curved boundaries with no straight lines. Step 3, Look at mixed shapes like semicircles. A semicircle has one curved edge and one straight edge, but together they form a closed shape because there are no gaps in the boundary.

Understanding Closed Shapes Without Straight Lines

Step 4, Draw the conclusion. No, straight lines are not necessary to make a closed shape. Shapes can be closed using curved lines, straight lines, or a combination of both. Example 3: Distinguishing Between Open and Closed Shapes Problem:

Which of these figures are closed and open shapes?

Understanding Closed Shapes Without Straight Lines

Step-by-step solution: Step 1, Remember the definition of closed shapes. A closed shape has no gaps in its boundary and returns to its starting point. Step 2, Look at each shape carefully to check for gaps in the boundary. Step 3, Examine option C, which is a circle. The circle has a continuous boundary with no gaps. When you trace around it, you return to your starting point without lifting your pencil. Step 4, Look at the other options (A, B, and D). Each of these shapes has at least one gap in its boundary. These gaps mean you cannot trace around the shape without lifting your pencil. Step 5, Make your final decision. Option C (the circle) is a closed shape. All the other shapes (A, B, and D) are open shapes because they have gaps in their boundaries. Comments(6)MManagerPaulineNovember 5, 2025This glossary def of closed shape is great! I've used it to help my students grasp the concept. It makes learning geometry so much easier.

MCMs. CarterSeptember 17, 2025I’ve been helping my kids learn geometry, and this page made closed shapes so easy to understand! The examples were super clear, and now they can spot them everywhere. Great resource!

MHMs. HarperSeptember 10, 2025Loved how clear this definition of a closed shape is! I used it to help my 3rd grader understand the concept, and the examples made it super easy for her to visualize. Thanks for the great resource!

MCMs. CarterAugust 27, 2025I’ve been using this page to help my kids grasp geometry basics, and the way closed shapes are explained here is so clear! The examples make it easy for them to understand. Great resource!

NNatureLover75August 20, 2025I’ve been using this site to help my kids with geometry, and the Closed Shape definition was so clear! The examples made it easy for them to understand. Great resource for visual learners!

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