1 / 28

Do Now

Do Now. Take out your calculator. Take a protractor from the front. In your notebook answer the following questions: How many sides does a pentagon have? Draw a hexagon. What shape has 7 sides?. Compton Jr. Posse. Polygon Sum Conjecture. Today’s Objectives.

istas
Download Presentation

Do Now

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Do Now • Take out your calculator. • Take a protractor from the front. • In your notebook answer the following questions: • How many sides does a pentagon have? • Draw a hexagon. • What shape has 7 sides?

  2. Compton Jr. Posse

  3. Polygon Sum Conjecture

  4. Today’s Objectives • Discover the sum of the angle measures in a polygon • Write formulas for the measure of the interior angle of an equiangular polygon. • Use problem solving skills

  5. Polygons • Triangle • Quadrilateral • Pentagon • Hexagon • Heptagon • Octagon • Nonagon • Decagon • 11—gon • Dodecagon • 13—gon • N-gon

  6. Investigation • Draw the polygon. Carefully measure all the interior angles, then find the sum. • Share your results with your group. If you measured carefully, you should all have the same sum! If your answers aren’t exactly the same, find the average. • Copy the table. Repeat steps 1 and 2 for different polygons.

  7. Quadrilateral sum Conjecture • The sum of the measures of the four interior angles of any quadrilateral is _____. • 360o .

  8. Pentagon sum Conjecture • The sum of the measures of the five interior angles of any pentagon is _____. • 540o .

  9. Polygon Sum Conjecture • How many sides? • How many triangles? • How many degrees?

  10. Polygon sum Conjecture • The sum of the measures of the n interior angles of any n—gon is _____. • 180o(n—2) .

  11. Regular Polygons • Regular Polygons—Equilateral and equiangular • Equilateral—all n sides are congruent. • Equiangular—all n interior angles are congruent.

  12. Regular polygons. • Find the measure of each interior angle.

  13. Polygon sum Conjecture • In a regular polygon, the measure of each interior angle of any n—gon is _____. • 180o(n—2) . n

  14. Practice

  15. Practice

  16. Practice

  17. Practice

  18. Practice

  19. Practice

  20. Practice

  21. Practice

  22. Practice

  23. Practice

  24. Practice

  25. Practice

  26. Today’s Objectives • Discover the sum of the angle measures in a polygon • Write formulas for the measure of the interior angle of an equiangular polygon. • Use problem solving skills

  27. Exit Slip In each problem, show your work AND explain your reasoning. • How many degrees are in a 45-gon? Include in your explanation what each part of the formula represents. • What is the measure of each angle of a regular octagon? • Find the measure of x.

  28. Honors Exit Slip In each problem, show your work AND explain your reasoning. • How many degrees are in a 45-gon? Include in your explanation what each part of the formula represents. • What is the measure of each angle of a regular octagon? • Find the measure of w, x, y, and z.

More Related