New York State Learning Standards and Core Curriculum
Understand congruence and similarity using physical models, transparencies, or geometry software.
NY-8.G.1a. Verify experimentally lines are mapped to lines, and line segments to line segments of the same length.
NY-8.G.1b. Verify experimentally angles are mapped to angles of the same measure.
NY-8.G.1c. Verify experimentally parallel lines are mapped to parallel lines.
NY-8.G.4. Know that a two-dimensional figure is similar to another if the corresponding angles are congruent and the corresponding sides are in proportion. Equivalently, two two-dimensional figures are similar if one is the image of the other after a sequence of rotations, reflections, translations, and dilations. Given two similar two-dimensional figures, describe a sequence that maps the similarity between them on the coordinate plane.