Geometry

8.G.1Through experimentation, verify the properties of rotations, reflections, and translations (transformations) to figures on a coordinate plane).8.G.2Demonstrate understanding of congruence by applying a sequence of translations, reflections, and rotations on two-dimensional figures. Given two congruent figures, describe a sequence that exhibits the congruence between them.8.G.3Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.8.G.4Demonstrate understanding of similarity, by applying a sequence of translations, reflections, rotations, and dilations on two-dimensional figures. Describe a sequence that exhibits the similarity between them.8.G.5Justify using informal arguments to establish facts about the angle sum of triangles (sum of the interior angles of a triangle is 180 degrees), measures of exterior angles of triangles, angles created when parallel lines are cut be a transversal (e.g., alternate interior angles), and angle-angle criterion for similarity of triangles.8.G.6Explain the Pythagorean Theorem and its converse.8.G.7Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.8.G.8Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.8.G.9Identify and apply the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.
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