# Common Core: Geometry

##### 8.G.C9

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

October 1, 2018
##### 8.G.A1

Verify experimentally the properties of rotations, reflections, and translations:

October 1, 2018
##### 8.G.A1a

Lines are taken to lines, and line segments to line segments of the same length.

October 1, 2018
##### 8.G.A1b

Angles are taken to angles of the same measure.

October 1, 2018
##### 8.G.A1c

Parallel lines are taken to parallel lines.

October 1, 2018
##### 8.G.A2

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.

October 1, 2018
##### 8.G.A3

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

October 1, 2018
##### 8.G.A4

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.

October 1, 2018
##### 8.G.A5

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 … Read More “8.G.A5”

October 1, 2018
##### 8.G.B6

Explain a proof of the Pythagorean Theorem and its converse.

October 1, 2018
##### 8.G.B7

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

October 1, 2018
##### 8.G.B8

Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

October 1, 2018