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Math 157 Math for Elementary Teachers II
Week 5
CheckPoint: Ch. 11
Pg
#
Problem
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Equation Editor.
Section 11.1
66
9
8
Rotation, around an imaginary point below the images
10
Translation, since the image stays in the same orientation.
24
a.
There are 8 triangles
°
=
÷
45
8
360
b.
Four rotations
°
=
÷
°
90
4
360
c.
24 triangles
°
=
÷
15
24
360
d.
No rotational symmetry
e.
With color, no rotational symmetry
f.
5 repeating points
°
=
÷
72
5
360
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Section 11.2
68
6
4
There will be 4 rectangles at each point.
The angle in a corner of a rectangle is 90 degrees,
and a circle around a point is 360, allowing for 4 rectangles.
10
The sum of the interior angles is 540 degrees, and there is no way to fit that into 360 degrees,
which is required for tessellation
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The angles of the polygons that meet at a point must be 360 degrees in total, and once you are
past a six sided polygon, this cannot happen.
For more than 6 sides, the interior angles are
less than 60 degrees each
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 Spring '09
 JULIEHAUX

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