Math 157 Math for Elementary Teachers II
Week 5
CheckPoint: Ch. 11
Pg
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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
28
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
14
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
 Geometry, Total change, V+F

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