1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Attend to precision. 6. Look for and make use of structure. 7. Look for and express regularity in repeated reasoning. 8. Angles are taken to angles of the same measure. 9. Parallel lines are taken to parallel lines. 10. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 11. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. 12. 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, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.