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

16 - Verify experimentally the properties of rotation, reflections, and translations
17 - Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotation, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. [8.G.2] 18. Describe the effects of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
19. 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.

Understand and apply the Pythagorean Theorem

20 - Explain a proof of the Pythagorean Theorem and its converse [8.G.6]
21 - Apply the Pythagorean Theorem to determine unknown side lengths in right triangles [8.G.7]
22 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system [8.G.8]

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

23 - Know the formula for volume of cylinders, cones, and spheres

## ACOS 2010

8.F.5

Geometry

16 - Verify experimentally the properties of rotation, reflections, and translationsUnderstand congruence and similarity using physical models, transparencies, or geometry software17 - Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotation, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. [8.G.2]

18. Describe the effects of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

19. 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.

20 - Explain a proof of the Pythagorean Theorem and its converse [8.G.6]Understand and apply the Pythagorean Theorem21 - Apply the Pythagorean Theorem to determine unknown side lengths in right triangles [8.G.7]

22 - Apply the Pythagorean Theorem to find the distance between two points in a coordinate system [8.G.8]

23 - Know the formula for volume of cylinders, cones, and spheresSolve real-world and mathematical problems involving volume of cylinders, cones, and spheresPacing Guides