Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.6 - Symmetry and Transformations - Exercises - Page 125: 27

Answer

(a) The Toyota logo is symmetric about a vertical line of symmetry drawn through the middle of the logo. (b) The Chevrolet logo shows rotational symmetry about a rotation of $180^{\circ}$. (c) The Volkswagen logo is symmetric about a vertical line of symmetry drawn through the middle of the logo.

Work Step by Step

(a) The Toyota logo is symmetric about a vertical line of symmetry drawn through the middle of the logo, since the left half and the right half of the logo are reflections of each other. (b) The Chevrolet logo is not symmetric about a vertical line or a horizontal line. However, this logo shows rotational symmetry about a rotation of $180^{\circ}$. If we rotate the logo by $180^{\circ}$, then the logo will look exactly the same. (c) The Volkswagen logo is symmetric about a vertical line of symmetry drawn through the middle of the logo, since the left half and the right half of the logo are reflections of each other.
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