Name ________________________________________ Date __________________ Class__________________
LESSON
17-3
Practice A
Tessellations
Fill in the blanks to complete each definition.
1. A _____________________ is a repeating pattern that completely covers a
plane with no gaps or overlaps.
2. A regular tessellation is formed by congruent _____________________.
3. A pattern with _____________________ coincides with its image after
a glide reflection.
4. A _____________________ tessellation is formed by two or more different
regular polygons, with the same number of each polygon occurring in the same
order at every vertex.
Tell whether each pattern has translation symmetry, glide reflection symmetry,
or both.
5.
6.
________________________
7.
_________________________
________________________
8. Trace the triangle on a blank sheet of paper and cut it out. Trace around
the cut-out triangle several times to create a tessellation on this page.
Classify each tessellation as regular, semiregular, or neither.
9.
10.
________________________
11.
_________________________
________________________
Determine whether the given regular polygon(s) can be used to form a tessellation.
Remember that the angles at any vertex have to be able to add up to 360° to
make a tessellation.
12.
13.
________________________
14.
_________________________
________________________
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417
Holt McDougal Coordinate Algebra
5.
6.
7.
8.
2. yes
3. yes; 120°; 3
4. yes; 180°; 2
17-3 TESSELLATIONS
Practice A
1. tessellation
Review for Mastery
2. regular polygons
3. glide reflection symmetry
1. yes; one line of symmetry
4. semiregular
5. both
6. glide reflection symmetry
7. translation symmetry
8.
2. no
3. yes; 180°; order: 2
4. yes; 90°; order: 4
5. both
9. neither
6. plane symmetry
7. neither
8. both
Challenge
10. regular
11. semiregular
12. no
13. yes
14. yes
Practice B
1. TVRG
2. THVRG
1. translation symmetry
3. T
4. TV
2. both
5. THG
6. TR
3. glide reflection symmetry
7. Patterns will vary.
4.
8. Answers will vary.
9. For all integers n,
­ x 12n, where 12n 2 d x d 12n 2
°2, where 12n 2 d x d 12n 4
°
f(x) ®
° x 12n 6, where 12n 4 d x d 12n 8
°¯2, where 12n 8 d x d 12n 10
5.
Problem Solving
1. yes
2. yes; 180°; order: 2
3. both
4. rotational symmetry of order 2
5. D
6. H
7. D
8. H
6. regular
7. semiregular
8. neither
9. no
10. yes
11. no
Practice C
Reading Strategies
1. 15-gon
1. no
2. The tiling uses a nonagon, a triangle, and
an 18-gon; possible answer: Each angle
© Houghton Mifflin Harcourt Publishing Company
A97
Holt McDougal Coordinate Algebra