Geo_Book_Answers

CHAPTER 7 REVIEW
1. true 2. true
3. true 4. true
5. true 6. true
7. False; a regular pentagon does not create a
monohedral tessellation and a regular hexagon
does.
8. true 9. true
10. False; two counterexamples are given in
Lesson 7.5.
11. False; any hexagon with one pair of opposite
sides parallel and congruent will create a
monohedral tessellation.
12. This statement can be both true and false.
13. 6-fold rotational symmetry
14. translational symmetry
15. Reflectional; color arrangements will vary, but
the white candle must be in the middle.
16. The two towers are not the reflection (or
even the translation) of each other. Each tower
individually has bilateral symmetry. The center
portion has bilateral symmetry.
17. Answers will vary.
18. Answers will vary.
19. 3 6 3 2 .4.3.4; 2-uniform
20. 4.8 2 ; semiregular
21. y 1
2 x
y
x
22.
T H
23. Use a grid of squares. Tessellate by translation.
24. Use a grid of equilateral triangles. Tessellate by
rotation.
25. Use a grid of parallelograms. Tessellate by
glide reflection.
26. Yes. It is a glide reflection for one pair of sides
and midpoint rotation for the other two sides.
27. No.Because the shape is suitable for glide
reflection,the rows of parallelograms should
alternatethedirectioninwhichtheylean(row1
leans right,row 2 leans left,row 3 leans right,and
so on).
28.
ANSWERS TO EXERCISES 95
Answers to Exercises