U.S. National Standards
N.3. Geometry (NCTM)
3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
3.1.3. Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationship.
3.3. Apply transformations and use symmetry to analyze mathematical situations.
3.3.1. Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling.
3.3.2. Examine the congruence, similarity, and line or rotational symmetry of objects using transformations.