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.
8.G.B.6
Explain a proof of the Pythagorean theorem and its converse.
8.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.
8.G.B.8
Apply the Pythagorean theorem to find the distance between two points in a coordinate system.
