These worksheets will give your students a review of identifying and working with different polygons.

#### Polygons are two-dimensional planar figures that have at least three sides and angles. Polygons are made up for straight lines that are all connected. If a polygon has all equal sides and angles it is considered regular, otherwise it is termed irregular. Concave polygons have at least one angle pointing towards the center of the figure. Convex polygons have no inward angles. Simple polygons have a single boundary or a simple perimeter. If a polygon intersects itself, as if it were folded on itself it is called a complex polygon.

What are the 12 types of Polygons? A polygon is a two-dimensional shape that has 12 types. Lets discuss all of them one by one. 1) Regular Polygon: It has equal sides and the same interior angles. Its shape has: Six equal sides and interior angles that measure 120 degrees. 2) Irregular Polygon: This polygon is irregular because its sides and angles are unequal. 3) Convex Polygon: Its interior angle is less than 180 degrees, and vertices are apparent. 4) Concave Polygon: It's angle measures more than 180 degrees, and vertices are inwards and outwards. 5) Trigons: It has three sides. It has different categories that are: Scalene Triangle - all unequal sides, Isosceles Triangle - two fully equivalent sides, Equilateral Triangle - all equal sides and angle 60 degrees 6) Quadrilateral Polygon:It is a four-sided polygon or a quadrangle, and its types are: Square, Rectangle, Rhombus, Parallelogram 7) Pentagon Polygon: Its all five sides are equal in length. It can be a regular and irregular pentagon. 8) Hexagons: It has six equal sides, vertices, and angle measures. 9) Equilateral Polygons: This polygon's all sides are equal, like an equilateral triangle, a square, etc. 10) Equiangular Polygons: Its all the interior angles are equal, like a rectangle. 11) Hendecagon: It has eleven sides with the same length, and the interior angle measures 147.3 degrees. 12) Dodecagon: It has twelve sides. It is regular when sides and measures of angles are equal. It is irregular when sides and angles are not equal. These worksheets explain how to identify polygons based on their characteristics. Students will identify types of polygons, calculate sides and angles (both interior and exterior), and more. Questions range from beginner to intermediate.

# Print Polygons Worksheets

## Name the Shape Worksheet

Students will name the described shape. Ten problems are provided.

## Practice

Students will read each description and name the shape. Ten problems are provided.

## Identify the Shape Worksheet

Students will identify each picture by naming its shape. Ten problems are provided.

## Practice Worksheet

Students will label each shape. A sample problem is solved.

## Skill Drill

Students will write the name of each shape pictured. Six problems are provided.

## Identifying Polygons Lesson

This worksheet explains how to identify polygons. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will fill in the number of sides or angles for each shape. Ten problems are provided.

## Practice

Use the skills that you have learned to identify each shape by its picture. Ten problems are provided.

## Review and Practice

See how many different polygons you can name now that you understand the core skill. Six problems are provided.

## Class Quiz

Students will demonstrate their proficiency identifying polygons. Ten problems are provided.

## Skills Check

Students will identify the polygons. Three problems are provided, and space is included for students to copy the correct answer when given.

## Polygons Lesson

This worksheet explains how to determine how many angles you need to measure to identify corresponding angles. A sample problem is solved.

## Lesson and Practice

Into how many triangles can a regular pentagon be divided from a single point? How many degrees do each angle in a regular pentagon measure?

## Worksheet

Example problems: Point out two pairs of corresponding angle. The two triangles are (similar / congruent).

## Practice

You will break geometric shapes (polygons) into triangles and answer questions and find measures within the shape.

## Class Drill

Students will use the figures provided to find the requested measures. Eight problems are provided.

## Class Warm Up

Students will find the measure of angles of a polygon. Three problems are provided.

## Polygon Exterior Angles Lesson

This worksheet explains how to find the measure of each exterior angle of a pentagon. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will find the measure of the indicated exterior angles of a polygon. Ten problems are provided.

## Practice

Example problem: If the sum of the interior angles of a polygon equals 2340° , what is the measure of exterior angle of the given polygon?

## Review Worksheet

Students review how to find the measure of the exterior angles of a heptagon. This is a completely solved problem for you.

## Practice Problems

Example exercise: What is a polygon called if each exterior angle equals 45° ?

## Quiz

Students will demonstrate their proficiency with this ten problem quiz.

## Each Exterior Angle Check

Students will find the measure of the indicated exterior angles. Three problems are provided, and space is included for students to copy the correct answer when given.

## Polygon Interior Angles Lesson

This worksheet explains how to find the measure of the interior angles of a polygon. A sample problem is solved, and two practice problems are provided.

## Worksheet

What is the measure of a central angle each interior angle of the polygon is 540° ?

## Practice

If the measure of a central angle in a regular polygon is 30, what is the measure of each interior angle of the given polygon?

## Review and Practice

If the sum of the interior angles of a polygon equals 3060° , what is the measure of each interior angle of the given polygon?

## Quiz

How many degrees are there in the each interior angle of a seven sided polygon?

## Interior Skills Check

Students will find the measure of the interior angles of a polygon. Three problems are provided, and space is included for students to copy the correct answer when given.

## Lesson and Practice

This worksheet explains how to draw a polygon based on a description. A sample problem is solved, and two practice problems are provided.

## Drawing Polygons Worksheet

Students will learn how to compose give shapes based on the described specs. Ten problems are provided.

## How Many Degrees Practice

How many degrees are found in each angle of these shapes?

## Skill Drill

Draw a quadrilateral that fit the descriptions.

## Warm Up

Find the numbers of triangles, given polygons are divided into, and then find the angle sum.

## Forming Polygons Lesson

This worksheet explains how to determine the name of a polygon. The table on this lesson shows the name of the shapes and the number of sides that they have.

## Lesson and Practice

Imagine that you are putting any one of the 2 shapes with the bold side on another shape with the bolded side, such that the bolded sides are placed one over the other.

## Forming Worksheet

Students will name each polygon. Ten problems are provided.

## Practice Worksheet

For each figure provided, students will name the polygon. Ten problems are provided.

## Skill Drill

Students will name the shapes that are formed by putting the flat sides on each set of shapes. Eight problems are provided.

## Warm Up

Write the number of sides of the given polygons.

## Sum of the Interior Angles of a Polygon Lesson

This worksheet explains how to find the sum of the interior angles of a pentagon. A sample problem is solved, and two practice problems are provided.

## Worksheet

What is the measure of each exterior angle if the sum of its interior angles is 1440° ?

## Sum of the Interiors Practice

What is the measure of each exterior angle in 21 sided polygon?

## Review and Practice

Students review how to identify polygons based on the sum of their interior angles. Six problems are provided.

## Skills Quiz

Students will demonstrate their proficiency identifying shapes based on the sum of their interior angles. Ten problems are provided.

## Class Check

Example problem: What is the measure of each exterior angle in a regular dodecagon?