Polygons vs Non Polygons Worksheet

📆 Updated: 1 Jan 1970
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🔖 Category: Other

Are you teaching a geometry lesson and in need of a practical way to assess your students' understanding of polygons and non-polygons? Look no further, as we have just the solution for you! Our brand new "Polygons vs Non Polygons Worksheet" is designed to help your students distinguish between these two geometric entities with ease. This worksheet is perfect for educators who want to provide clear and concise exercises tailored to their students' needs.



Table of Images 👆

  1. Complex Polygon Shapes
  2. Concave and Convex Figures
  3. Convex Heptagon That Is Not
Complex Polygon Shapes
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Concave and Convex Figures
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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Convex Heptagon That Is Not
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What is a polygon?

A polygon is a two-dimensional shape with straight sides that are connected to form a closed figure. The sides of a polygon do not intersect, and each vertex where the sides meet is a corner. Examples of polygons include triangles, rectangles, pentagons, and hexagons.

How is a polygon different from a non-polygon shape?

A polygon is a closed shape with straight sides and angles, while a non-polygon shape may have curved sides or be open. Polygons must have at least three sides and the angles between them must add up to 360 degrees. Non-polygon shapes can include circles, ovals, and irregular shapes that do not meet the criteria of a polygon.

What are some characteristics of polygons?

Polygons are closed shapes with straight sides, formed by connecting three or more points. They have a fixed number of sides, vertices, and angles. The interior angles of a polygon always add up to a specific total depending on the number of sides. Polygons can be classified based on the number of sides they have such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), and so on.

Can a polygon have curved sides?

No, a polygon by definition is a closed shape with straight sides. Curved sides would create a different type of shape, such as a circle or ellipse.

How many sides does a triangle have?

A triangle has three sides.

Give an example of a non-polygon shape.

A circle is an example of a non-polygon shape, as it does not have straight sides or angles like polygons do.

Can a non-polygon shape have straight sides?

No, a non-polygon shape cannot have straight sides by definition. A polygon is a closed two-dimensional shape with straight sides. If a shape has curved sides or is not closed, it is considered a non-polygon shape. A shape with straight sides but not meeting the criteria of a polygon is not possible.

What is the sum of the interior angles of a polygon?

The sum of the interior angles of a polygon can be found using the formula: (n-2) * 180 degrees, where n represents the number of sides in the polygon.

Are all regular polygons also convex?

Yes, all regular polygons are also convex. A regular polygon is defined as having equal side lengths and equal angles, and in this case, all the interior angles of a regular polygon are less than 180 degrees. This means that the polygon does not contain any inward-pointing angles, making it a convex polygon.

What does it mean for a shape to be concave?

A shape is considered concave if it has at least one indentation or "dip" inward, creating a surface that caves inwards. This means the shape curves inward towards its interior. Concave shapes have at least one interior angle greater than 180 degrees, distinguishing them from convex shapes.

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