| ÖÇ1 | Relates affine space axioms to vector space axioms |
| ÖÇ2 | Gains knowledge about the types of certain automorphisms |
| ÖÇ3 | Relates affine transformations to other types of transformations |
| ÖÇ4 | Studies metric properties such as angle, orthogonality, and length in Euclidean spaces |
| ÖÇ5 | Develops geometric thinking through transformation |
| ÖÇ6 | Investigates and analyzes types of motion in the plane for sustainable engineering |
| ÖÇ7 | Learns that similarity transformations are those that map angles to angles |
| ÖÇ8 | Understands the relationship between similarity in geometry and other sciences |