Contents align to MA.8.CCSS.Math.Content.8.G Geometry





Understand congruence and similarity using physical models, transparencies, or geometry software: Verify experimentally the 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

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Understand congruence and similarity using physical models, transparencies, or geometry software: 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. 

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Understand congruence and similarity using physical models, transparencies, or geometry software: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

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Understand congruence and similarity using physical models, transparencies, or geometry software: 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.

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Understand congruence and similarity using physical models, transparencies, or geometry software: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

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Understand and apply the Pythagorean Theorem: Explain a proof of the Pythagorean Theorem and its converse.

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Understand and apply the Pythagorean Theorem: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

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Understand and apply the Pythagorean Theorem: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

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Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres: Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

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