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Concept explainers
a.
To draw: Coordinate grid with origin
a.
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Answer to Problem 32WE
Coordinate grid with origin
Explanation of Solution
Given:
Coordinate
Concept Used:
2D cartesian coordinate grid where coordinates are represented as
Calculation:
As per the given problem
Hence,
Coordinate grid with origin
b.
To find: To plot image of
b.
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Answer to Problem 32WE
Explanation of Solution
Given:
Coordinate
Concept Used:
A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.
Calculation:
As per the given problem
Coordinate
Hence,
c.
To compare: Slopes of
c.
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Answer to Problem 32WE
Both line
Explanation of Solution
Given:
Coordinate
Concept Used:
A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.
Calculation:
As per the given problem
Slope: -
Product of slopes shows that both line
Hence,
Both line
d.
To proof: Theorem
d.
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Answer to Problem 32WE
Explanation of Solution
Given:
Concept Used:
A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.
Calculation:
As per the given problem
Since translation in as isometry.
For reference
Hence,
e.
To compare: Area of
e.
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Answer to Problem 32WE
Area of
Explanation of Solution
Given:
Concept Used:
A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.
Calculation:
As per the given problem
We know rotation preserves distance i.e. invariant.
Since all sides of
Hence,
Area of
f.
To find: Image of
f.
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Answer to Problem 32WE
Explanation of Solution
Given:
Coordinate
Concept Used:
A rotation is a transformation suggested by rotating a paddle wheel. When wheel stops, new position of a paddle referred as the image of initial position.
Calculation:
As per the given problem
Hence,
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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