McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Question
Chapter 14.8, Problem 12CE
(a)
To determine
To find: The translational symmetry of the pattern.
(a)
Expert Solution
Answer to Problem 12CE
The pattern is not a translational symmetry.
Explanation of Solution
Given information:
The given pattern design is shown below.
Calculation:
A design can also have translation symmetry if there is a translation that maps the figure onto itself.
Translational symmetry occurs only in pattern that cover a plane. But the given pattern is asymmetrical in nature so it is not a translational symmetry.
Therefore, the pattern is not a translational symmetry.
(b)
To determine
To find: Line symmetry of the pattern.
(b)
Expert Solution
Answer to Problem 12CE
The given pattern is not a line symmetry.
Explanation of Solution
Given information:
The given pattern design shown below.
Calculation:
The line of symmetry is the imaginary line where fold the image and have both halves match exactly.
In the above pattern draw a line of axis then fold along that line the parts of object sides of the line not exactly coincide.
Hence the given pattern is not a line symmetry.
Therefore, the given pattern is not a line symmetry.
(c)
To determine
To find: Point symmetry of the pattern.
(c)
Expert Solution
Answer to Problem 12CE
The pattern is not a point symmetry.
Explanation of Solution
Given information:
The given pattern design shown below.
Calculation:
Point symmetry occurs when there exists a point on an object that splits the object into two parts in which each part has a matching part the same distance from the central point, and face different directions.
The given pattern is asymmetrical in nature , therefore the pattern is not a point symmetry.
Therefore, the pattern is not a point symmetry.
(d)
To determine
To find: The rotational symmetry of the pattern.
(d)
Expert Solution
Answer to Problem 12CE
The pattern is not a rotational symmetry.
Explanation of Solution
Given information:
The given pattern design is shown below.
Calculation:
A shape has a rotational symmetry when it still looks the same after some rotation.
The given pattern is not symmetry if rotated because the shape is asymmetrical.
Therefore, the pattern is not a rotational symmetry.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 14.1 - Prob. 1CECh. 14.1 - Prob. 2CECh. 14.1 - Prob. 3CECh. 14.1 - Prob. 4CECh. 14.1 - Prob. 5CECh. 14.1 - Prob. 6CECh. 14.1 - Prob. 7CECh. 14.1 - Prob. 8CECh. 14.1 - Prob. 9CECh. 14.1 - Prob. 10CE
Ch. 14.1 - Prob. 1WECh. 14.1 - Prob. 2WECh. 14.1 - Prob. 3WECh. 14.1 - Prob. 4WECh. 14.1 - Prob. 5WECh. 14.1 - Prob. 6WECh. 14.1 - Prob. 7WECh. 14.1 - Prob. 8WECh. 14.1 - Prob. 9WECh. 14.1 - Prob. 10WECh. 14.1 - Prob. 11WECh. 14.1 - Prob. 12WECh. 14.1 - Prob. 13WECh. 14.1 - Prob. 14WECh. 14.1 - Prob. 15WECh. 14.1 - Prob. 16WECh. 14.1 - Prob. 17WECh. 14.1 - Prob. 18WECh. 14.1 - Prob. 19WECh. 14.1 - Prob. 20WECh. 14.1 - Prob. 21WECh. 14.1 - Prob. 22WECh. 14.1 - Prob. 23WECh. 14.2 - Prob. 1CECh. 14.2 - Prob. 2CECh. 14.2 - Prob. 3CECh. 14.2 - Prob. 4CECh. 14.2 - Prob. 5CECh. 14.2 - Prob. 6CECh. 14.2 - Prob. 7CECh. 14.2 - Prob. 8CECh. 14.2 - Prob. 9CECh. 14.2 - Prob. 10CECh. 14.2 - Prob. 11CECh. 14.2 - Prob. 12CECh. 14.2 - Prob. 13CECh. 14.2 - Prob. 14CECh. 14.2 - Prob. 15CECh. 14.2 - Prob. 16CECh. 14.2 - Prob. 17CECh. 14.2 - Prob. 18CECh. 14.2 - Prob. 19CECh. 14.2 - Prob. 20CECh. 14.2 - Prob. 1WECh. 14.2 - Prob. 2WECh. 14.2 - Prob. 3WECh. 14.2 - Prob. 4WECh. 14.2 - Prob. 5WECh. 14.2 - Prob. 6WECh. 14.2 - Prob. 7WECh. 14.2 - Prob. 8WECh. 14.2 - Prob. 9WECh. 14.2 - Prob. 10WECh. 14.2 - Prob. 11WECh. 14.2 - Prob. 12WECh. 14.2 - Prob. 13WECh. 14.2 - Prob. 14WECh. 14.2 - Prob. 15WECh. 14.2 - Prob. 16WECh. 14.2 - Prob. 17WECh. 14.2 - Prob. 18WECh. 14.2 - Prob. 19WECh. 14.2 - Prob. 20WECh. 14.2 - Prob. 21WECh. 14.2 - Prob. 22WECh. 14.2 - Prob. 23WECh. 14.2 - Prob. 24WECh. 14.2 - Prob. 25WECh. 14.2 - Prob. 26WECh. 14.2 - Prob. 27WECh. 14.2 - Prob. 28WECh. 14.2 - Prob. 29WECh. 14.2 - Prob. 30WECh. 14.2 - Prob. 31WECh. 14.2 - Prob. 32WECh. 14.2 - Prob. 33WECh. 14.2 - Prob. 34WECh. 14.2 - Prob. 35WECh. 14.2 - Prob. 36WECh. 14.2 - Prob. 37WECh. 14.2 - Prob. 38WECh. 14.2 - Prob. 39WECh. 14.2 - Prob. 40WECh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.3 - Prob. 1CECh. 14.3 - Prob. 2CECh. 14.3 - Prob. 3CECh. 14.3 - Prob. 4CECh. 14.3 - Prob. 5CECh. 14.3 - Prob. 6CECh. 14.3 - Prob. 7CECh. 14.3 - Prob. 8CECh. 14.3 - Prob. 1WECh. 14.3 - Prob. 2WECh. 14.3 - Prob. 3WECh. 14.3 - Prob. 4WECh. 14.3 - Prob. 5WECh. 14.3 - Prob. 6WECh. 14.3 - Prob. 7WECh. 14.3 - Prob. 8WECh. 14.3 - Prob. 9WECh. 14.3 - Prob. 10WECh. 14.3 - Prob. 11WECh. 14.3 - Prob. 12WECh. 14.3 - Prob. 13WECh. 14.3 - Prob. 14WECh. 14.3 - Prob. 15WECh. 14.3 - Prob. 16WECh. 14.3 - Prob. 17WECh. 14.3 - Prob. 18WECh. 14.3 - Prob. 19WECh. 14.3 - Prob. 20WECh. 14.3 - Prob. 21WECh. 14.3 - Prob. 22WECh. 14.3 - Prob. 23WECh. 14.4 - Prob. 1CECh. 14.4 - Prob. 2CECh. 14.4 - Prob. 3CECh. 14.4 - Prob. 4CECh. 14.4 - Prob. 5CECh. 14.4 - Prob. 6CECh. 14.4 - Prob. 7CECh. 14.4 - Prob. 8CECh. 14.4 - Prob. 9CECh. 14.4 - Prob. 10CECh. 14.4 - Prob. 11CECh. 14.4 - Prob. 12CECh. 14.4 - Prob. 13CECh. 14.4 - Prob. 14CECh. 14.4 - Prob. 15CECh. 14.4 - Prob. 1WECh. 14.4 - Prob. 2WECh. 14.4 - Prob. 3WECh. 14.4 - Prob. 4WECh. 14.4 - Prob. 5WECh. 14.4 - Prob. 6WECh. 14.4 - Prob. 7WECh. 14.4 - Prob. 8WECh. 14.4 - Prob. 9WECh. 14.4 - Prob. 10WECh. 14.4 - Prob. 11WECh. 14.4 - Prob. 12WECh. 14.4 - Prob. 13WECh. 14.4 - Prob. 14WECh. 14.4 - Prob. 15WECh. 14.4 - Prob. 16WECh. 14.4 - Prob. 17WECh. 14.4 - Prob. 18WECh. 14.4 - Prob. 19WECh. 14.4 - Prob. 20WECh. 14.4 - Prob. 21WECh. 14.4 - Prob. 22WECh. 14.4 - Prob. 23WECh. 14.4 - Prob. 24WECh. 14.4 - Prob. 25WECh. 14.4 - Prob. 26WECh. 14.4 - Prob. 27WECh. 14.4 - Prob. 28WECh. 14.4 - Prob. 29WECh. 14.4 - Prob. 30WECh. 14.4 - Prob. 31WECh. 14.4 - Prob. 32WECh. 14.4 - Prob. 33WECh. 14.4 - Prob. 34WECh. 14.4 - Prob. 35WECh. 14.4 - Prob. 36WECh. 14.4 - Prob. 37WECh. 14.4 - Prob. 38WECh. 14.4 - Prob. 39WECh. 14.4 - Prob. 1MRECh. 14.4 - Prob. 2MRECh. 14.4 - Prob. 3MRECh. 14.4 - Prob. 4MRECh. 14.4 - Prob. 5MRECh. 14.4 - Prob. 6MRECh. 14.4 - Prob. 7MRECh. 14.5 - Prob. 1CECh. 14.5 - Prob. 2CECh. 14.5 - Prob. 3CECh. 14.5 - Prob. 4CECh. 14.5 - Prob. 5CECh. 14.5 - Prob. 6CECh. 14.5 - Prob. 7CECh. 14.5 - Prob. 8CECh. 14.5 - Prob. 9CECh. 14.5 - Prob. 10CECh. 14.5 - Prob. 11CECh. 14.5 - Prob. 12CECh. 14.5 - Prob. 13CECh. 14.5 - Prob. 14CECh. 14.5 - Prob. 15CECh. 14.5 - Prob. 16CECh. 14.5 - Prob. 17CECh. 14.5 - Prob. 1WECh. 14.5 - Prob. 2WECh. 14.5 - Prob. 3WECh. 14.5 - Prob. 4WECh. 14.5 - Prob. 5WECh. 14.5 - Prob. 6WECh. 14.5 - Prob. 7WECh. 14.5 - Prob. 8WECh. 14.5 - Prob. 9WECh. 14.5 - Prob. 10WECh. 14.5 - Prob. 11WECh. 14.5 - Prob. 12WECh. 14.5 - Prob. 13WECh. 14.5 - Prob. 14WECh. 14.5 - Prob. 15WECh. 14.5 - Prob. 16WECh. 14.5 - Prob. 17WECh. 14.5 - Prob. 18WECh. 14.5 - Prob. 19WECh. 14.5 - Prob. 20WECh. 14.5 - Prob. 21WECh. 14.5 - Prob. 22WECh. 14.5 - Prob. 23WECh. 14.5 - Prob. 24WECh. 14.5 - Prob. 25WECh. 14.5 - Prob. 26WECh. 14.5 - Prob. 27WECh. 14.5 - Prob. 28WECh. 14.5 - Prob. 1ST1Ch. 14.5 - Prob. 2ST1Ch. 14.5 - Prob. 3ST1Ch. 14.5 - Prob. 4ST1Ch. 14.5 - Prob. 5ST1Ch. 14.5 - Prob. 6ST1Ch. 14.5 - Prob. 7ST1Ch. 14.5 - Prob. 8ST1Ch. 14.5 - Prob. 9ST1Ch. 14.5 - Prob. 10ST1Ch. 14.5 - Prob. 11ST1Ch. 14.5 - Prob. 12ST1Ch. 14.5 - Prob. 13ST1Ch. 14.5 - Prob. 14ST1Ch. 14.5 - Prob. 15ST1Ch. 14.5 - Prob. 16ST1Ch. 14.5 - Prob. 17ST1Ch. 14.5 - Prob. 18ST1Ch. 14.6 - Prob. 1CECh. 14.6 - Prob. 2CECh. 14.6 - Prob. 3CECh. 14.6 - Prob. 4CECh. 14.6 - Prob. 5CECh. 14.6 - Prob. 6CECh. 14.6 - Prob. 7CECh. 14.6 - Prob. 8CECh. 14.6 - Prob. 9CECh. 14.6 - Prob. 10CECh. 14.6 - Prob. 11CECh. 14.6 - Prob. 12CECh. 14.6 - Prob. 1WECh. 14.6 - Prob. 2WECh. 14.6 - Prob. 3WECh. 14.6 - Prob. 4WECh. 14.6 - Prob. 5WECh. 14.6 - Prob. 6WECh. 14.6 - Prob. 7WECh. 14.6 - Prob. 8WECh. 14.6 - Prob. 9WECh. 14.6 - Prob. 10WECh. 14.6 - Prob. 11WECh. 14.6 - Prob. 12WECh. 14.6 - Prob. 13WECh. 14.6 - Prob. 14WECh. 14.6 - Prob. 15WECh. 14.6 - Prob. 16WECh. 14.6 - Prob. 17WECh. 14.6 - Prob. 18WECh. 14.6 - Prob. 19WECh. 14.6 - Prob. 20WECh. 14.6 - Prob. 21WECh. 14.6 - Prob. 22WECh. 14.6 - Prob. 23WECh. 14.6 - Prob. 24WECh. 14.6 - Prob. 25WECh. 14.6 - Prob. 26WECh. 14.6 - Prob. 27WECh. 14.6 - Prob. 28WECh. 14.6 - Prob. 29WECh. 14.6 - Prob. 30WECh. 14.7 - Prob. 1CECh. 14.7 - Prob. 2CECh. 14.7 - Prob. 3CECh. 14.7 - Prob. 4CECh. 14.7 - Prob. 5CECh. 14.7 - Prob. 6CECh. 14.7 - Prob. 7CECh. 14.7 - Prob. 8CECh. 14.7 - Prob. 9CECh. 14.7 - Prob. 10CECh. 14.7 - Prob. 11CECh. 14.7 - Prob. 12CECh. 14.7 - Prob. 13CECh. 14.7 - Prob. 14CECh. 14.7 - Prob. 15CECh. 14.7 - Prob. 16CECh. 14.7 - Prob. 17CECh. 14.7 - Prob. 18CECh. 14.7 - Prob. 19CECh. 14.7 - Prob. 20CECh. 14.7 - Prob. 21CECh. 14.7 - Prob. 22CECh. 14.7 - Prob. 23CECh. 14.7 - Prob. 24CECh. 14.7 - Prob. 1WECh. 14.7 - Prob. 2WECh. 14.7 - Prob. 3WECh. 14.7 - Prob. 4WECh. 14.7 - Prob. 5WECh. 14.7 - Prob. 6WECh. 14.7 - Prob. 7WECh. 14.7 - Prob. 8WECh. 14.7 - Prob. 9WECh. 14.7 - Prob. 10WECh. 14.7 - Prob. 11WECh. 14.7 - Prob. 12WECh. 14.7 - Prob. 13WECh. 14.7 - Prob. 14WECh. 14.7 - Prob. 15WECh. 14.7 - Prob. 16WECh. 14.7 - Prob. 17WECh. 14.7 - Prob. 18WECh. 14.7 - Prob. 19WECh. 14.7 - Prob. 20WECh. 14.7 - Prob. 21WECh. 14.7 - Prob. 22WECh. 14.7 - Prob. 23WECh. 14.7 - Prob. 24WECh. 14.7 - Prob. 25WECh. 14.7 - Prob. 26WECh. 14.7 - Prob. 27WECh. 14.7 - Prob. 28WECh. 14.7 - Prob. 29WECh. 14.7 - Prob. 30WECh. 14.7 - Prob. 31WECh. 14.8 - Prob. 1CECh. 14.8 - Prob. 2CECh. 14.8 - Prob. 3CECh. 14.8 - Prob. 4CECh. 14.8 - Prob. 5CECh. 14.8 - Prob. 6CECh. 14.8 - Prob. 7CECh. 14.8 - Prob. 8CECh. 14.8 - Prob. 9CECh. 14.8 - Prob. 10CECh. 14.8 - Prob. 11CECh. 14.8 - Prob. 12CECh. 14.8 - Prob. 13CECh. 14.8 - Prob. 14CECh. 14.8 - Prob. 15CECh. 14.8 - Prob. 1WECh. 14.8 - Prob. 2WECh. 14.8 - Prob. 3WECh. 14.8 - Prob. 4WECh. 14.8 - Prob. 5WECh. 14.8 - Prob. 6WECh. 14.8 - Prob. 7WECh. 14.8 - Prob. 8WECh. 14.8 - Prob. 9WECh. 14.8 - Prob. 10WECh. 14.8 - Prob. 11WECh. 14.8 - Prob. 12WECh. 14.8 - Prob. 13WECh. 14.8 - Prob. 14WECh. 14.8 - Prob. 15WECh. 14.8 - Prob. 16WECh. 14.8 - Prob. 17WECh. 14.8 - Prob. 18WECh. 14.8 - Prob. 19WECh. 14.8 - Prob. 20WECh. 14.8 - Prob. 21WECh. 14.8 - Prob. 22WECh. 14.8 - Prob. 23WECh. 14.8 - Prob. 25WECh. 14.8 - Prob. 26WECh. 14.8 - Prob. 27WECh. 14.8 - Prob. 28WECh. 14.8 - Prob. 29WECh. 14.8 - Prob. 1CCh. 14.8 - Prob. 2CCh. 14.8 - Prob. 1ST2Ch. 14.8 - Prob. 2ST2Ch. 14.8 - Prob. 3ST2Ch. 14.8 - Prob. 4ST2Ch. 14.8 - Prob. 5ST2Ch. 14.8 - Prob. 6ST2Ch. 14.8 - Prob. 7ST2Ch. 14.8 - Prob. 8ST2Ch. 14.8 - Prob. 9ST2Ch. 14.8 - Prob. 10ST2Ch. 14.8 - Prob. 11ST2Ch. 14.8 - Prob. 1ECh. 14.8 - Prob. 2ECh. 14.8 - Prob. 3ECh. 14.8 - Prob. 4ECh. 14.8 - Prob. 5ECh. 14.8 - Prob. 6ECh. 14.8 - Prob. 7ECh. 14.8 - Prob. 8ECh. 14.8 - Prob. 9ECh. 14.8 - Prob. 10ECh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Prob. 12CRCh. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 18CRCh. 14 - Prob. 19CRCh. 14 - Prob. 20CRCh. 14 - Prob. 1CTCh. 14 - Prob. 2CTCh. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - Prob. 5CTCh. 14 - Prob. 6CTCh. 14 - Prob. 7CTCh. 14 - Prob. 8CTCh. 14 - Prob. 9CTCh. 14 - Prob. 10CTCh. 14 - Prob. 11CTCh. 14 - Prob. 12CTCh. 14 - Prob. 13CTCh. 14 - Prob. 14CTCh. 14 - Prob. 15CTCh. 14 - Prob. 16CTCh. 14 - Prob. 17CTCh. 14 - 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