The goal of the lesson is for students to describe transformations in the coordinate plane, with a focus on identifying transformations as producing congruent or similar figures (or neither).

Students begin by using similar triangles to connect the coordinate rule to the geometric definition of a dilation. Students have the opportunity to notice and make use of structure (MP7) when they compare 2 triangles and draw a conclusion about the proportionality of all the pairs of corresponding sides. Next, students match transformation rules to graphs, then explain which of these transformations are taking figures to similar or congruent figures. This builds toward the next activity and the Cool-down, in which students will need to write their own rules for given transformations.