1 / 25

Go over quiz

Go over quiz. 3.4 Polygon Angle Sum Theorems. 10/28 with practice on 10/29. Learning Targets. I can name and classify a polygon given the number of sides and vertices. I can find the interior angles of a polygon using the Polygon Angle Sum Theorem

jdutcher
Download Presentation

Go over quiz

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. Go over quiz

  2. 3.4 Polygon Angle Sum Theorems 10/28 with practice on 10/29

  3. Learning Targets • I can name and classify a polygon given the number of sides and vertices. • I can find the interior angles of a polygon using the Polygon Angle Sum Theorem • I can find the exterior angle of a polygon using the Polygon Exterior Angle Sum Theorem

  4. Polygon : a polygon is a closed plane figure with at least three sides that are segments. The sides intersect only at their endpoints.

  5. To name a polygon, you must name the vertices consecutively • EX:

  6. Convex polygon: Has no diagonals with points outside the polygon. • Concave polygon: Has at least one diagonal with points outside the polygon. • EX

  7. Part a is Convex part b is Concave

  8. Polygon Classification • 3 sides- • 4 sides- • 5 sides- • 6 sides-

  9. Polygon Classification(cont’d) • 7 sides - • 8 sides - • 9 sides - • 10 sides - • 12 sides - • N sides -

  10. Polygon Angle Sum Theorem: The sum of the measures of the interior angles of any polygon is (n – 2)180, where n is the number of sides.

  11. Ex. What is the sum of the measures of angles of a Decagon? Pentagon?

  12. In your groups • Find the sum of the measures of angles of an octagon

  13. Find x

  14. In your groups • The sum of the measures of the interior angles is 720. How many sides does it have? • Hint: Work backwards

  15. Polygon Exterior Angle Sum Theorem: The sum of the exterior angles of a polygon is 360 degrees. ALWAYS!

  16. An Equilateral polygon has all sides congruent. • An Equiangular polygon has all angles congruent. The following is SUPER IMPORTANT!!! • A regular polygon has all equal angles and equal sides.

  17. In your groups • What is the measure of an exterior angle of a regular hexagon? • What is the measure of an interior angle of a regular dodecagon?

  18. In your groups • The following is a regular polygon, find the missing measures

  19. In a regular polygon, the sum of an interior angle and exterior angle is 180

  20. Homework • In packet 3-4

  21. Day 2 for 3.4 • Warmup – Grab your book • For a regular nonagon • What is the measure of an interior angle? • What is the measure on an exterior angle?

  22. Go over 3-4 Packet.

  23. P.147 #16-21

  24. 3-4 worksheet practice

More Related