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Topic 14 Final Answer

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Mathematics
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Homework
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Problem 1: Classify each wallpaper pattern as p111, p1m1, p1g1, or c1m1. Label enough
lines of reflection in the patterns to support you answer. Use a black dotted line to
designate the lines of reflection of reflections and a red dotted line to designate the
lines of reflection of glide reflections.
a)
Smallest Rotation Angle: 0°
Reflection: No
Glide Reflection: Yes
Pattern: p1g1
b)
Pattern: c1m1
Smallest Rotation Angle: 0°
Reflection: Yes
Glide Reflection Parallel to the Reflection: Yes

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c)
Smallest Rotation Angle: 0°
Reflection: No
Glide Reflection: No
Pattern: p111
d)
Smallest Rotation Angle: 0°
Reflection: Yes
Glide Reflection Parallel to the Reflection: No
Pattern: p1m1

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Problem 1: Classify each wallpaper pattern as p111, p1m1, p1g1, or c1m1. Label enough lines of reflection in the patterns to support you answer. Use a black dotted line to designate the lines of reflection of reflections and a red dotted line to designate the lines of reflection of glide reflections. a) Smallest Rotation Angle: 0° Reflection: No Glide Reflection: Yes Pattern: p1g1 b) Pattern: c1m1 Smallest Rotation Angle: 0° Reflection: Yes Glide Reflection Parallel to the Reflection: Yes c) Smallest Rotation Angle: 0° Reflection: No Glide Reflection: No Pattern: p111 d) Smallest Rotation Angle: 0° Reflection: Yes Glide Reflection Parallel to the Reflection: No Pattern: p1m1 Problem 2: Classify each wallpaper pattern as p211, p2mm, p2mg, p2gg, or c2mm. Label enough lines of reflection and centers of rotation in the patterns to support you answer. Use a black dotted line to designate the lines of reflection of reflections and a red dotted line to designate the lines of reflection of glide reflections. Use a “∘” to designate a 180° rotation. a) Smallest Rotation Angle: 180° Reflection: Yes Two Reflections: Yes Rotation Centers on Reflection Lines: Yes Pattern: p2mm b) Smallest Rotation Angle: 180° Reflection: No Glide Reflection: Yes Pattern: p2gg c) Smallest Rotation Angle: 180° Reflection: No Glide Reflection: No Pattern: p211 d) Smallest Rotation Angle: 180° Reflection: Yes Two Reflections: Yes Rotation Centers on Reflection Lines: No Pattern: ...
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