1. Polygon Worksheet 1.
Concave Polygon
Convex Polygon

2. Classifying Polygons 2. Naming Polygons based on the number of sides:
Triangle (This is labled based on the number of angles.)
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon

3. Triangle - A polygon with three sides.
Polygons
Triangle - A polygon with three sides.

4. Quadrilateral - A polygon with four sides.
Polygons
Quadrilateral - A polygon with four sides.

5. Parallelogram - A quadrilateral with two pairs of parallel sides.
Polygons
Parallelogram - A quadrilateral with two pairs of parallel sides.

6. Trapezoid - A quadrilateral which has one pair of parallel sides.
Polygons
Trapezoid - A quadrilateral which has one pair of parallel sides.

7. Rectangle - a quadrilateral with four congruent angles (all 90°).
Polygons
Rectangle - a quadrilateral with four congruent angles (all 90°).

8. Rhombus - A parallelogram with four congruent sides.
Polygons
Rhombus - A parallelogram with four congruent sides.

9. Polygons
Square - a quadrilateral with four congruent sides and four congruent angles (all 90°).

10. Pentagon - A polygon with five sides.
Polygons
Pentagon - A polygon with five sides.

11. Hexagon - A polygon with six sides.
Polygons
Hexagon - A polygon with six sides.

12. Octagon - A polygon with eight sides.
Polygons
Octagon - A polygon with eight sides.

13. Decagon - A polygon with ten sides.
Polygons
Decagon - A polygon with ten sides.

14. Polygon Worksheet Sum of Interior Angles
3. How do you find the sum of the interior angles of an n-gon?
Sum of Interior Angles

15. 3. Find the sum of the interior angles of the following polygons.
Polygon Worksheet
3. Find the sum of the interior angles of the following polygons.
Hexagon: gon
Sum of Interior Angles
Hexagon
Sum of Interior Angles
22-gon

16. 3. What does “sum of the interior angles” mean?
Polygon Worksheet
3. What does “sum of the interior angles” mean?
The answer when I add up all of the angles on the INSIDE of a polygon.

17. 4. What is a regular polygon?
Polygon Worksheet
4. What is a regular polygon?
All of the angles are the congruent (same measure) and all of the sides are congruent (same length).

18. Measure of One Interior angle of a Regular n-gon
Polygon Worksheet
3. How do you find the measure of an (each/one) interior angle of a regular n-gon?
Measure of One Interior angle of a Regular n-gon

19. Polygon Worksheet Measure of one Interior Angle
3. Find the measure of each interior angle of the following polygons.
Hexagon: Nonagon
Hexagon
Nonagon
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle
Measure of one Interior Angle

20. 4. What is the sum of the exterior angles of any regular polygon?
Polygon Worksheet
4. What is the sum of the exterior angles of any regular polygon?
The sum of the measures of the exterior angles of any polygon is always
360

21. Measure of One Exterior angle of a Regular n-gon
Polygon Worksheet
4. How do you find the measure of one exterior angle of a regular polygon?
Measure of One Exterior angle of a Regular n-gon

22. Polygon Worksheet
6. Find the measure of an exterior angle of the following regular polygons.
Decagon
Pentagon
Measure of one Exterior Angle
Measure of one Exterior Angle
Measure of one Exterior Angle
Measure of one Exterior Angle
Measure of one Exterior Angle
Measure of one Exterior Angle

23. Polygon Worksheet The measure of each exterior angle is 30 degrees.
7. Find the number of sides for a regular polygon using the information given:
The measure of each exterior angle is 30 degrees.

24. Polygon Worksheet
7. Find the number of sides for a regular polygon using the information given:
b) The measure of each interior angle is 135 degrees.
*Complete on Board

25. Polygon Worksheet The measure of each exterior angle is 30 degrees.
7. Find the number of sides for a regular polygon using the information given:
The measure of each exterior angle is 30 degrees.
The measure of each interior angle is 135 degrees.