1. Describe the transformations that can map the tessellation
onto itself. (The tessellation is made of congruent figures,
and it continues in all directions.) You may number figures
in the tessellation if you need to refer to them.
Tr,,tnrlatu F,flur< 4.
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2. The tessellation shown is made from regular hexagons.
Your friend says that a tessellation like this one can be
made by repeatedly translating a single hexagon. ls there
another transformation that can produce the tessellation?
Explain. You may number hexagons in the tessellation if
you need to refer to them.
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Use the given figure to create a tessellation.
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Determine whether the given regular polygon(s) can be used to form a
tessellation. lf so, draw the tessellation.
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Chapter 9
do
403
Lesson 5
Sue draws a regular hexagon and then uses it to create a tessellating
pattern. As shown, the pattern also includes equilateraltriangles.
1. Describe a way to make the pattern by
performing transformations on the hexagon.
You may number hexagons in the pattern if
you need to refer to them.
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b
Show how you can draw line segments
in Sue's pattern to make a pattern of
tessellating equilateral triangles.
Choose the best answer.
3.
4. Which is a true statement about figures
1 and 2 in the diagram below?
ln the diagram below, three congruent
pentagons form each hexagon. What
sequence of transformations could map
one of the pentagons onto two other
pentagons to form a hexagon?
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@rnurc1 is mapped onto figure 2 bY
a translation.
:
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Figure 1 is mapped onto figure 2
by a rotation.
H Figure 1 is mapped onto figure 2 bY
a rotation and a translation.
rotation around a vertex; a
-reflection
//MO"
(tzO'rotation
/
around a vertex; a
reflection
J Figure 1 is mapPed onto figure 2 bY
'60' rotation around a vertex; 60'
/6gotation around the same vertex
(o )lzo" rotation around a vertex;
a reflection.
p/eo"
rotation around the same
vertex
Chapter 9
404
Lesson 5
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