New York State Learning Standards and Core Curriculum
Understand congruence and similarity using physical models, transparencies, or geometry software.
NY-8.G.1. Verify experimentally the properties of rotations, reflections, and translations.
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.2. Know that a two-dimensional figure is congruent to another if the corresponding angles are congruent and the corresponding sides are congruent. Equivalently, two two-dimensional figures are congruent if one is the image of the other after a sequence of rotations, reflections, and translations. Given two congruent figures, describe a sequence that maps the congruence between them on the coordinate plane.