Polygon Hierarchy Worksheet

The Polygon Hierarchy Worksheet is designed to provide a comprehensive review of the different types of polygons and their relationship to one another. If you are a student or teacher looking to deepen your understanding of polygons and their classification, this worksheet is the ideal resource for you.

  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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  Quadrilateral Hierarchy Chart

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What is a polygon?

A polygon is a two-dimensional closed shape with straight sides. It is made up of line segments that connect at their endpoints to form a single, enclosed figure. Examples of polygons include triangles, rectangles, pentagons, and hexagons.

How is a polygon classified based on the number of sides?

A polygon is classified based on the number of sides it has. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on. The classification of a polygon is determined by the specific number of sides it possesses.

What is a regular polygon?

A regular polygon is a polygon with all sides of equal length and all angles of equal measure.

What is an irregular polygon?

An irregular polygon is a polygon that does not have all sides of equal length and all angles of equal measure. In other words, it is a polygon with sides and angles that vary in size and measure, unlike regular polygons which have equal sides and angles.

What is a concave polygon?

A concave polygon is a polygon where at least one of its interior angles is greater than 180 degrees, causing the polygon to have at least one "dip" or indentation in its shape. This is in contrast to a convex polygon, where all interior angles are less than 180 degrees and the polygon does not have any "dips" in its shape.

What is a convex polygon?

A convex polygon is a polygon where all interior angles are less than 180 degrees and all line segments connecting any two points within the polygon lie entirely inside the polygon. This means that the polygon does not have any "dents" or indentations in its shape, and all its sides do not cross over each other.

Can a polygon have more than one classification? Provide an example.

Yes, a polygon can have more than one classification. For example, a rectangle is both a quadrilateral (as it has four sides) and a parallelogram (as it has opposite sides that are parallel and equal in length).

What is the difference between a quadrilateral and a parallelogram?

A parallelogram is a specific type of quadrilateral where opposite sides are parallel and equal in length. On the other hand, a quadrilateral is a broader classification of a shape with four sides. This means that all parallelograms are quadrilaterals, but not all quadrilaterals are parallelograms.

How are polygons named based on the number of sides?

Polygons are named based on the number of sides they have. For example, a polygon with 3 sides is called a triangle, a polygon with 4 sides is called a quadrilateral, a polygon with 5 sides is called a pentagon, a polygon with 6 sides is called a hexagon, and so on. The naming convention is based on the Greek numerical prefixes for the numbers of sides in the polygon.

What is the difference between a simple polygon and a complex polygon?

A simple polygon is a polygon with non-intersecting sides and does not have any holes, while a complex polygon can have intersecting sides or contain holes within its boundaries. In other words, a simple polygon is a single, closed shape with a clear boundary, while a complex polygon may have multiple boundaries or internal cutouts.