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Warm-Up: Copy and Complete

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. 1. Homework: p 386 #1-15, 23-33 odd. Concave Polygon.

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Warm-Up: Copy and Complete

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  1. 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

  2. Polygon classification 1. • Homework: p 386 #1-15, 23-33 odd Concave Polygon Convex Polygon

  3. 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

  4. Polygons Triangle - A polygon with three sides.

  5. Polygons Quadrilateral - A polygon with four sides.

  6. Polygons Parallelogram - A quadrilateral with two pairs of parallelsides.

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

  8. Polygons Rectangle - a quadrilateral with four congruentangles (all 90°).

  9. Polygons Rhombus - A parallelogram with four congruentsides.

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

  11. Polygons Pentagon - A polygon with five sides.

  12. Polygons Hexagon - A polygon with six sides.

  13. Polygons Octagon - A polygon with eight sides.

  14. Polygons Decagon - A polygon with ten sides.

  15. Bell Work 5 minutes

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

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

  18. 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.

  19. 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).

  20. 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

  21. Polygon practice 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

  22. 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

  23. 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

  24. Polygon practice 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

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

  26. 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.

  27. Polygon practice 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.

  28. Bell Work End

  29. Quiz Practice 1) Find “x” and “y”. 2) Find each angle

  30. A little more practice • 3) Find a, b and c. a b 30 c

  31. Exit Ticket • Name the polygon by the number of its sides. Then tell whether the polygon is regular or irregular, concave or convex. • Find the sum of the interior angle measures of a convex 11-gon. • Find the measure of each interior angle of a regular 18-gon. • Find the measure of each exterior angle of a regular 15-gon

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