All Virginia Standards of Learning for Geometry are included in this course. Proof Geometries Course Content I. Fundamental Concepts Benchmark Students examine concepts fundamental to the study of geometry in two and three dimensions. Through investigations they draw conclusions about relationships involving points, lines, planes, and angles. Indicators Identify, draw, and label points, lines, planes, line segments, rays, and angles in space, using correct symbolic notation. Transformations and Symmetry Benchmark Students investigate and apply symmetries, isometries, and dilations through geometric movement.
Indicators Apply vocabulary and symbolic notation for mappings and various transformations.
Create and compare preimages and images for reflections, translations, glide reflections, rotations, and dilations on plane figures. Relate isometries to congruence and dilations to similarity. Create and compare preimages and images for compositions of transformations of plane figures. Describe and identify line, point, rotational, and translational symmetry of plane figures. Explore patterns and angle relationships with polygons using tessellations and symmetry.