Concept explainers
To proof: Congruence invariant under half-turning mapping.
Answer to Problem 14CE
Yes, under half-turn mapping congruence is invariant.
Explanation of Solution
Given information :
Half-turning about a point
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.
As per the given problem
A rotation about point
Hence,
Under half-turn mapping congruence is invariant.
Chapter 14 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Precalculus
A First Course in Probability
Elementary Statistics (13th Edition)
Elementary Algebra: Concepts and Applications (10th Edition)
Linear Algebra and Its Applications (5th Edition)
Calculus: Early Transcendentals (3rd Edition)
- 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