Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, and dilations

What you'll learn

1. Define similarity using transformations: two figures are similar if one can be mapped to the other by a sequence of rotations, reflections, translations, and dilations
2. Distinguish between congruence and similarity by identifying which transformations are involved -- congruence uses rigid motions only, similarity adds dilation
3. Given two similar figures on the coordinate plane, describe a specific sequence of transformations that maps one onto the other
4. Verify similarity by checking that corresponding angles are equal and corresponding sides are proportional, connecting these measurements back to the transformation sequence
5. Use the similarity symbol (~) correctly to state that two figures are similar and identify corresponding vertices in the correct order

Prerequisites

• Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates