1. CCSS G-CO 9: Prove theorems about lines and angles. G-CO 10: Prove theorems about triangles. G-CO 11: Prove theorems about parallelograms. Lesson Goals  Identify, name, and describe polygons. ESLRs: Becoming Effective Communicators, Competent Learners and Complex Thinkers

2. The measure of each interior angle of a regular polygon is

3. Find the measure of one interior angle of a regular polygon with 15 sides.

4. The measure of each interior angle of a regular polygon is 165 o. How many sides does the polygon have?

5. The sum of the measures of the exterior angles of a convex polygon (one angle at each vertex) is 360 o. 1 2 3 4 5 6

6. Knott’s Berry Farm A portable ferris wheel in England

8. Austria - Vienna: Riesenrad - the Giant Wheel at the Prater

9. What is the sum of the measures of the interior angles of a decagon?

10. What is the measure of one interior angle of a regular decagon?

11. The measure of each interior angle of a regular polygon is 156 o. How many sides does the polygon have?

12. Would it be possible for a regular polygon to have interior angles with the angle measure 130 o ? No, a polygon cannot have 7.2 sides.

13. What is the sum of the measures of the exterior angles of a decagon?

14. What is the sum of the measures of the interior angles of a heptagon?

15. What is the measure of one interior angle of a regular heptagon?

16. What is the sum of the measures of the exterior angles of a heptagon?

17. What is the sum of the measures of the exterior angles of a polygon with 45 sides?

18. What is the sum of the measures of the exterior angles of a polygon with 27 sides?

19. Find the value of y. 2yo2yo yoyo 2yo2yo yoyo

20. The measure of each exterior angles of a regular polygon

21. Find the value of x. xoxo

22. The Regular Interior Angle Corollary extends the Polygon Regular Interior Angle Sum Theorem by __________________. Polygon Exterior Angle Theorem shows that a polygon becomes closer to a _____ as the _____ of sides ______ because ________. The Regular Polygon Exterior Angle Corollary extends the Polygon Exterior Angle Theorem by _____________.

23. p. 665: 1, 5, 22 – 25, 29 – 37 o, 41, 51, 53