Maryland College and Career-Ready Standards
MD.MA.8.G. Geometry (G)
Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.1. Verify experimentally the properties of rotations, reflections, and translations.
8.G.1c. Parallel lines are taken to parallel lines.
8.G.1c.1. Ability to conduct experiments which show that rotations, reflections, and translations of parallel lines are rigid.
8.G.4. 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.
8.G.4.3. Ability to demonstrate that congruency is a special case of similarity (scale factor of 1).
Unit 2: Similarity, Proof, and Trigonometry
HSG-SRT.A. Understand similarity in terms of similarity transformations.
G.SRT.2. Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
G.SRT.2.1. Ability to make connections between the definition of similarity and the attributes of two given figures.
G.SRT.2.2. Ability to set up and use appropriate ratios and proportions.