Chapter 8 focused on two and three dimensional shapes and objects, their properties, and characteristics. Chapter 9 will look at both moving these shapes and objects and changing them in different ways, e.g., making them bigger or smaller. Children and perhaps yourselves, often find these ideas challenging. Nonetheless, movement and transformations are essential aspects and vital to understanding geometry. Another central topic of this chapter is constructions. However, these shapes are constructed with certain restrictions, e.g., a ruler is not allowed. These restrictions may seem unnecessary, but they are essential in developing geometry as a logical, well-defined enterprise. Constructions are like proofs.