Geometry

8.G.1Understand the properties of rotations, reflections, and translations by experimentation:8.G.2Understand 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 of transformations 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.4Understand 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 of transformations that exhibits the similarity between them.8.G.5Use informal arguments to establish facts about:8.G.6Explain a proof of 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.9Know the formulas for the volume of cones, cylinders and spheres. Use the formulas to solve real world and mathematical problems.
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