Transformations and SymmetrySimilarity

For rigid transformations, the image is always congruentlargersmaller to the original – but this is no longerstill true for dilations. Instead, we say that two shapes are similar. They have the same overall shape, but not necessarily the same size.

The symbol for similarity is ∼ (similar to the symbol for congruence, which was ≅). In this example, we would write A∼A’.