Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.6 - Symmetry and Transformations - Exercises - Page 111: 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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