The present volume is Part II of Geometric Transformations by I.M. Yaglom. The English translation of Part I has already appeared in this series. In the original Russian edition (1955) the two parts were published together in a single volume, and Part III appeared as a separate volume. An English translation of Part III will appear presently.

This book is not a text in plane geometry; on the contrary, the author assumes that the reader already has some familiarity with the subject. Part II deals with similar figures and with transformations that preserve similarity.

As in Part I, the problems are the heart of the book. There are eighty three problems in all, and the reader should attempt to solve them for himself before turning to the solutions in the second half of the book. The numbering of the problems is not the same in the English edition as in the original Russian. In the Russian the problems were numbered consecutively from 1 to 106 (Problems 1–47 were in Part I, and 48–106 were in Part II). In the English translation the numbering has started over again in Part II. A chart comparing the numbering in the original and the translation has been included, since in Part I there are several references to problems in Part II, and these references used the problem numbers from the Russian original.

Those footnotes preceded by the usual symbols † or ‡ were taken over from the Russian edition (or were added by the author for the American edition), while those preceded by the symbol T have been added by the translator.