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a.
To find the planes of symmetry of the given
a.
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Answer to Problem 13CE
The rectangular solid have three planes of symmetry.
Explanation of Solution
Given information:
A figure of a rectangular solid.
A plane of symmetry divides a 3-dimensional shape into two congruent halves that are mirror images to each other.
A figure in the plane has symmetry if there is an isometry, other than the identity that maps the figure onto itself.
Therefore,
Therectangular solid have three planes of symmetry.
b.
To find the planes of symmetry of the given solid.
b.
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Answer to Problem 13CE
The solid sphere has infinite number of planes of symmetry.
Explanation of Solution
Given information:
A figure of a sphere.
A plane of symmetry divides a 3-dimensional shape into two congruent halves that are mirror images to each other.
A figure in the plane has symmetry if there is an isometry, other than the identity that maps the figure onto itself.
Therefore,
The solidsphere hasinfinite number of planes of symmetry.
c.
To find the planes of symmetry of the given solid.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 13CE
The rectangular square pyramid has four planes of symmetry.
Explanation of Solution
Given information:
A figure of a regular square pyramid.
A plane of symmetry divides a 3-dimensional shape into two congruent halves that are mirror images to each other.
A figure in the plane has symmetry if there is an isometry, other than the identity that maps the figure onto itself.
Therefore,
The rectangular square pyramid hasfour planes of symmetry.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
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