McDougal Littell Jurgensen Geometry: Student Edition Geometry
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
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Chapter 14, Problem 12CR

(a)

To determine

To find: The image of (3,1) under the transformation RxRy .

(a)

Expert Solution
Check Mark

Answer to Problem 12CR

The image of (3,1) is (3,1) .

Explanation of Solution

Given information: The point is (3,1) and transformation is RxRy .

Calculation:

If the line of reflection is x -axis then the reflection is as follows:

  Rx:(x1,y1)(x1,y1)

If the line of reflection is y -axis then the reflection is as follows:

  Ry:(x1,y1)(x1,y1)

The transformation of the point if the line of reflection is y -axis, then

  Ry:(3,1)(3,1)

Now, the image of Ry:(3,1)(3,1) if the line of reflection is x -axis is:

  RxRy:(3,1)(3,1)

Therefore, the coordinates of the image point is (3,1) .

(b)

To determine

To find: The image of (3,1) under the transformation RyHO .

(b)

Expert Solution
Check Mark

Answer to Problem 12CR

The image of (3,1) is (3,1) .

Explanation of Solution

Given information: The point is (3,1) and transformation is RyHO .

Calculation:

If the line of reflection is y -axis then the reflection is as follows:

  Ry:(x1,y1)(x1,y1)

The image of a point for half-turn about the origin is:

  HO:(x1,y1)(x1,y1)

The image of given point for half-turn about the origin is:

  HO:(3,1)(3,1)

Now, the image of (3,1) if the line of reflection is y -axis is:

  RyHO:(3,1)(3,1)

Therefore, the coordinates of the image point is (3,1) .

(c)

To determine

To find: The image of (3,1) under the transformation RxO,90 .

(c)

Expert Solution
Check Mark

Answer to Problem 12CR

The image of (3,1) is (1,3) .

Explanation of Solution

Given information: The point is (3,1) and transformation is RxO,90 .

Calculation:

The rotation of a point about the center O is:

  O,90:(3,1)(1,3)

If the line of reflection is x -axis then the reflection is as follows:

  Rx:(x1,y1)(x1,y1)

The image of point (1,3) if the line of reflection is x -axis is:

  RxO,90:(3,1)(1,3)

Therefore, the coordinates of the image point is (1,3) .

Chapter 14 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

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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Prob. 14CPECh. 14 - Prob. 15CPECh. 14 - Prob. 16CPECh. 14 - Prob. 17CPECh. 14 - Prob. 18CPECh. 14 - Prob. 19CPECh. 14 - Prob. 20CPECh. 14 - Prob. 21CPECh. 14 - Prob. 1ASNECh. 14 - Prob. 2ASNECh. 14 - Prob. 3ASNECh. 14 - Prob. 4ASNECh. 14 - Prob. 5ASNECh. 14 - Prob. 6ASNECh. 14 - Prob. 7ASNECh. 14 - Prob. 8ASNECh. 14 - Prob. 9ASNECh. 14 - Prob. 10ASNECh. 14 - Prob. 11ASNECh. 14 - Prob. 12ASNECh. 14 - Prob. 13ASNECh. 14 - Prob. 14ASNECh. 14 - Prob. 15ASNECh. 14 - Prob. 16ASNECh. 14 - Prob. 17ASNECh. 14 - Prob. 1CTECh. 14 - Prob. 2CTECh. 14 - Prob. 3CTECh. 14 - Prob. 4CTECh. 14 - Prob. 5CTECh. 14 - Prob. 6CTECh. 14 - Prob. 7CTECh. 14 - Prob. 8CTECh. 14 - Prob. 1PECh. 14 - Prob. 2PECh. 14 - Prob. 3PECh. 14 - Prob. 4PECh. 14 - Prob. 5PECh. 14 - Prob. 6PECh. 14 - Prob. 7PE

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