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Transcript
Theorem Proofs Document (correlation to Common Core, Geometry) A.Prove that vertical angles are equal. G-C0-9 B. Prove that when a transversal cuts two parallel lines, alternate interior and exterior angles are equal. G-C0-9 C. Prove that the sum of the interior angles of a triangle is 180o. G-C0-9 D. Prove that the base angles of an isosceles triangle are equal. G-C0-9 E. Prove that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and that its length is half that of the third side. G-C0-9 F. Prove that opposite angles of a parallelogram are congruent. G-C0-10 G. Prove that opposite sides of a parallelogram are congruent. G-C0-10 H. Prove that the diagonals of a parallelogram bisect each other. G-C0-10 I. Prove that a line parallel to one side of a triangle divides the other two sides proportionally. G-SRT-4 J. Prove the Pythagorean Theorem using triangle similarity. G-SRT-4 K. Prove that all circles are similar. G-C-1 The theorems listed here are but a few of the total in this curriculum. The vast majority are presented in the lessons themselves.