Warm-Up: Copy and Complete The last day to turn in ANY late or missing work is ______________________. All test re-takes must be taken ________________ or during PACK this week. Define Quadrilateral
Polygon classification Concave PolygonConvex Polygon 1. Homework: p 386 #1-15, odd
Classifying Polygons 2. Naming Polygons based on the number of sides: 3 sides = 4 sides = 5 sides = 6 sides = 7 sides = 8 sides = 9 sides = 10 sides = Triangle ( This label is based on the number of angles.) Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon
Polygons Triangle - A polygon with three sides.polygonsides
Polygons Quadrilateral - A polygon with four sides.polygonsides
Polygons Parallelogram - A quadrilateral with two pairs of parallel sides.quadrilateral parallelsides
Polygons Trapezoid - A quadrilateral which has one pair of parallel sides.quadrilateral
Polygons Rectangle - a quadrilateral with four congruent angles (all 90°).quadrilateralcongruent angles
Polygons Rhombus - A parallelogram with four congruent sides.parallelogramcongruent sides
Polygons Square - a quadrilateral with four congruent sides and four congruent angles (all 90°).quadrilateralcongruentangles
Polygons Pentagon - A polygon with five sides.polygonsides
Polygons Hexagon - A polygon with six sides.polygonsides
Polygons Octagon - A polygon with eight sides.polygonsides
Polygons Decagon - A polygon with ten sides.polygonsides
Bell Work 5 minutes
3. How do you find the sum of the interior angles of an n-gon? Sum of Interior Angles
Polygon Practice 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 Sum of Interior Angles
Polygon practice 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.
Polygon practice 4. What is a regular polygon? All of the angles are the congruent (same measure) and all of the sides are congruent (same length).
Polygon practice 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 practice 3. Find the measure of each interior angle of the following polygons. Hexagon:Nonagon Measure of one Interior Angle Hexagon Measure of one Interior Angle Nonagon
Polygon practice 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
Polygon practice 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 practice 6. Find the measure of an exterior angle of the following regular polygons. Measure of one Exterior Angle Decagon Measure of one Exterior Angle Pentagon Measure of one Exterior Angle
Polygon practice 7. Find the number of sides for a regular polygon using the information given: a)The measure of each exterior angle is 30 degrees.
Polygon practice 7. Find the number of sides for a regular polygon using the information given: b) The measure of each interior angle is 135 degrees.
Polygon practice 7. Find the number of sides for a regular polygon using the information given: a)The measure of each exterior angle is 30 degrees. b)The measure of each interior angle is 135 degrees.
Bell Work End
Quiz Practice 1) Find “x” and “y”.2) Find each angle
A little more practice 3) Find a, b and c. 30 a b c
Exit Ticket 1.Name the polygon by the number of its sides. Then tell whether the polygon is regular or irregular, concave or convex. 1.Find the sum of the interior angle measures of a convex 11-gon. 2.Find the measure of each interior angle of a regular 18-gon. 3.Find the measure of each exterior angle of a regular 15-gon