1. DO NOW
Page 442
Numbers 6-8
Numbers 11 and 12

2. Chapter 10 Lesson 7 Polygons and Tessellations Objective:
Classify polygons and determine which polygons can form a tessellation

3. A simple, closed figure formed by three or more straight lines.
Polygon
A simple, closed figure formed by three or more straight lines.

4. Circle the polygons

5. Pentagon
5 sides

6. Hexagon
6 sides

7. Heptagon 7 sides

8. Octagon 8 sides

9. Nonagon: 9 sides

10. Decagon 10 sides

11. A polygon that has all sides congruent and all angles congruent.
Regular Polygon
A polygon that has all sides congruent and all angles congruent.

12. Name the regular polygons

13. Name the regular polygon

14. Name the regular polygon

15. Name the regular polygon

16. Name the regular polygon

17. Answer: The figure is not a polygon since it has a curved side.
Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why.
Answer: The figure is not a polygon since it has a curved side.
Example 7-1a

18. Answer: polygon, not regular
Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why.
Answer: polygon, not regular
Example 7-1b

19. Determine whether the figure is a polygon
Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why.
Answer: This figure has 6 sides which are not all of equal length. It is a hexagon that is not regular.
Example 7-2a

20. Answer: not a polygon, sides overlap
Determine whether the figure is a polygon. If it is, classify the polygon and state whether it is regular. If it is not a polygon, explain why.
Answer: not a polygon, sides overlap
Example 7-2b

21. QUILTING Emily is making a quilt using fabric pieces shaped as equilateral triangles. Can Emily tessellate the quilt with these fabric pieces?
Answer: Yes, they can be arranged in a way that the angles where the vertices meet make 360.
Example 7-4b

22. Various other sided figures
Sides Name
11 Undecagon,
13 Tridecagon,
14 Tetradecagon,
15 Pentadecagon,
16 Hexadecagon,
17 Heptadecagon,
18 Octadecagon,
19 Enneadecagon,
20 Icosagon
30 Triacontagon
40 Tetracontagon
50 Pentacontagon
60 Hexacontagon
70 Heptacontagon
80 Octacontagon
90 Enneacontagon
100 Hectogon,
1,000 Chiliagon
10,000 Myriagon