See Problem 2.

Determine whether each figure will tessellate a plane. Explain.

12. equilateral triangle
13. square
14. regular pentagon
15. regular heptagon
16. regular octagon
17. regular nonagon

See Problem 3.

List the types of symmetry each tessellation has.

B Apply

Use each figure to make a tessellation on dot paper.

22. 
23. 
    Image Long Description
24. 
    Image Long Description
25. Which puzzle piece can tessellate a plane using only translation images of itself?
    1. 
    2. 
    3. 
    4. 

Show how to tessellate with each figure described below. Try to draw two different tessellations. If you think that two are not possible, explain.

26. a scalene triangle
27. the pentagon below

    

28. a quadrilateral with no sides parallel or congruent
29. Writing A pure tessellation is a tessellation made up of congruent copies of one figure. Explain why there are three, and only three, pure tessellations that use regular polygons. (Hint: See Exercises 12−17.)

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