ATOM Volume XII: Transformational Geometry

This book is intended for secondary students with some experience in school geometry. It is assumed that they have had enough elementary Euclidean geometry to cover theorems about congruences of triangles, properties of isosceles and right triangles, basic area theorems for triangles and quadrilaterals, properties of circles and concyclic quadrilaterials. It is expected that the reader would have been introduced to the definitions of translations, rotations and reflections, but has not used them as a tool for solving geometric problems. Many of the solutions are attributed to secondary students who participated in correspondence programs and provided a different perspective on the problems and solutions.