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 13CE
a.
To determine
To find the planes of symmetry of the given
a.
Expert Solution
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 determine
To find the planes of symmetry of the given solid.
b.
Expert Solution
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 determine
To find the planes of symmetry of the given solid.
c.
Expert Solution
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
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 - 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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 - Prob. 18CTCh. 14 - Prob. 19CTCh. 14 - Prob. 20CTCh. 14 - Prob. 21CTCh. 14 - Prob. 22CTCh. 14 - Prob. 23CTCh. 14 - Prob. 24CTCh. 14 - Prob. 25CTCh. 14 - Prob. 1CURCh. 14 - Prob. 2CURCh. 14 - Prob. 3CURCh. 14 - Prob. 4CURCh. 14 - Prob. 5CURCh. 14 - Prob. 6CURCh. 14 - Prob. 7CURCh. 14 - Prob. 8CURCh. 14 - Prob. 9CURCh. 14 - Prob. 10CURCh. 14 - Prob. 11CURCh. 14 - Prob. 12CURCh. 14 - Prob. 13CURCh. 14 - Prob. 14CURCh. 14 - Prob. 15CURCh. 14 - Prob. 16CURCh. 14 - Prob. 17CURCh. 14 - Prob. 18CURCh. 14 - Prob. 19CURCh. 14 - Prob. 20CURCh. 14 - Prob. 1MCECh. 14 - Prob. 2MCECh. 14 - Prob. 3MCECh. 14 - Prob. 4MCECh. 14 - Prob. 5MCECh. 14 - Prob. 6MCECh. 14 - Prob. 7MCECh. 14 - Prob. 8MCECh. 14 - Prob. 9MCECh. 14 - Prob. 10MCECh. 14 - Prob. 11MCECh. 14 - Prob. 1CPECh. 14 - Prob. 2CPECh. 14 - Prob. 3CPECh. 14 - Prob. 4CPECh. 14 - Prob. 5CPECh. 14 - Prob. 6CPECh. 14 - Prob. 7CPECh. 14 - Prob. 8CPECh. 14 - Prob. 9CPECh. 14 - Prob. 10CPECh. 14 - Prob. 11CPECh. 14 - Prob. 12CPECh. 14 - Prob. 13CPECh. 14 - 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