Polygon Worksheet 1. Concave Polygon Convex Polygon.

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Presentation transcript:

Polygon Worksheet 1. Concave Polygon Convex Polygon

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

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

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

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

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

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

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

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

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

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

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

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

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

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: 22-gon Sum of Interior Angles Hexagon Sum of Interior Angles 22-gon

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.

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).

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

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

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

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

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

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.

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

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.