5 Consider a ¹3 with vertices labeled as below. There are twelve symmetries of this object Six reflections) (six rotations and group regular hexagon 2 and taken together, form twelve elements, G. a with Call this group Q1] Regarding each of the twelve symmetries as an element of S6 (a permutation of the ver write the element in cycle notation cortices),
5 Consider a ¹3 with vertices labeled as below. There are twelve symmetries of this object Six reflections) (six rotations and group regular hexagon 2 and taken together, form twelve elements, G. a with Call this group Q1] Regarding each of the twelve symmetries as an element of S6 (a permutation of the ver write the element in cycle notation cortices),
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.6: Rotations And Symmetry
Problem 1C
Related questions
Question
I need help with question 1
![5
Consider a
3
Rotation by
0⁰
Clockuse rotation.
by 600
Clockwise rotation
hy 120°
Clockwise rotation
by 1800
Call this
group
Q1] Regarding each of the twelve symmetries as
an element of S6 (a permutation of the vertices),
write the element in cycle notation
Clockwise rotation
hу 2400
regular hexagon with vertices labeled as below.
There are twelve symmetries of this object
(six rotations and six reflections)
group
Clockwise rotation
hy 300⁰
2
and taken together, form
twelve elements,
G.
a
Rettection across the line.
connecting landy
Rettec Dion across the line
connecting 2ard 5
Reflection across the line
connecting 3 and 6
Reflection acro
line connecting the midports
of 12 and 45
Reflection across the
line connecting the midpoints.
of 23 and 50
with
Reflection across the
line connecting the midpoints.
of 34 and 61.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27b38c32-736b-4354-8263-82b5dd937d13%2F8f052528-c1fe-4fbb-86bf-8f8215cbb4c8%2F46jaemq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5
Consider a
3
Rotation by
0⁰
Clockuse rotation.
by 600
Clockwise rotation
hy 120°
Clockwise rotation
by 1800
Call this
group
Q1] Regarding each of the twelve symmetries as
an element of S6 (a permutation of the vertices),
write the element in cycle notation
Clockwise rotation
hу 2400
regular hexagon with vertices labeled as below.
There are twelve symmetries of this object
(six rotations and six reflections)
group
Clockwise rotation
hy 300⁰
2
and taken together, form
twelve elements,
G.
a
Rettection across the line.
connecting landy
Rettec Dion across the line
connecting 2ard 5
Reflection across the line
connecting 3 and 6
Reflection acro
line connecting the midports
of 12 and 45
Reflection across the
line connecting the midpoints.
of 23 and 50
with
Reflection across the
line connecting the midpoints.
of 34 and 61.
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