• Geometry
8.G Understand congruence and similarity using physical models, transparencies, or geometry software.

MGSE8.G.1. Verify experimentally the congruence properties of rotations, reflections, and translations: lines are taken to lines and line segments to line segments of the same length; angles are taken to angles of the same measure; parallel lines are taken to parallel lines.

MGSE8.G.1a. Lines are taken to lines, and line segments to line segments of the same length.

MGSE8.G.1b. Angles are taken to angles of the same measure.

MGSE8.G.1c. Parallel lines are taken to parallel lines.

MGSE8.G.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

MGSE8.G.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

MGSE8.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.

•  Key Vocabulary

Alternate Exterior Angles • Alternate Interior Angles • Angle of Rotation • Congruent Figures • Corresponding Sides • Corresponding Angles • Dilation • Linear Pair • Reflection • Reflection Line • Rotation • Same-Side Interior Angles • Same-Side Exterior Angles • Scale Factor • Similar Figures • Transformation • Translation • Transversal