A polygon is a closed figure made up of line segments. Each line segment is called a side, and each endpoint of a side is a vertex.

There are different types of polygons based on the number of sides they have:

**Triangle:**A polygon with 3 sides.**Quadrilateral:**A polygon with 4 sides.**Pentagon:**A polygon with 5 sides.**Hexagon:**A polygon with 6 sides.**Heptagon:**A polygon with 7 sides.**Octagon:**A polygon with 8 sides.**Nonagon:**A polygon with 9 sides.**Decagon:**A polygon with 10 sides.

Some important properties of polygons include:

**Interior Angles:**The sum of the interior angles of an n-sided polygon is given by the formula (n-2) * 180 degrees.**Exterior Angles:**The sum of the exterior angles of any polygon, whether convex or concave, is always 360 degrees.**Regular Polygon:**A polygon with all sides and angles equal.**Irregular Polygon:**A polygon with sides and/or angles that are not equal.

- How many sides does a hexagon have?
- What is the sum of the interior angles of a pentagon?
- Define a regular polygon.

- A hexagon has
**6 sides**. - The sum of the interior angles of a pentagon is
**540 degrees**. - A regular polygon has
**all sides and angles equal**.

Study GuidePolygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer key

Polygon Characteristics Worksheet/Answer keyPolygons Worksheet/Answer keyShape Up Vocabulary/Answer key

Polygon Characteristics

Geometry (NCTM)

Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.

Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.