CCSS8.G.A.1
Verify experimentally the properties of rotations, reflections, and translations:
CCSS8.G.A.1b
Angles are taken to angles of the same measure.
CCSS8.G.A.1c
Parallel lines are taken to parallel lines.
CCSS8.G.A.2
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.
CCSS8.G.A.3
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
CCSS8.G.A.5
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.
CCSS8.G.B.6
Explain a proof of the Pythagorean Theorem and its converse.
CCSS8.G.B.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.
CCSS8.G.B.8
Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
CCSS8.G.C.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.