College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 23 - Mirrors and Lenses - Learning Path Questions and Exercises - Exercises - Page 806: 9

Answer

The two triangles (with $d_{o}$ and $d_{i}$ as bases) are similar to each other, because all angles of one triangle are same as those of the other triangle due to the law of reflection. Furthermore, the triangles share same height, the common vertical side. Therefore, the two triangles are identical. Hence, $d_{0}=d_{i}$

Work Step by Step

The two triangles (with $d_{o}$ and $d_{i}$ as bases) are similar to each other, because all angles of one triangle are same as those of the other triangle due to the law of reflection. Furthermore, the triangles share same height, the common vertical side. Therefore, the two triangles are identical. Hence, $d_{0}=d_{i}$
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