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Advanced Geometry 3.2 and 3.4 Triangle Theorem Proofs Name_________________________ Proving that the angles of a triangle add up to 180 degrees: Write a paragraph proof to prove the following: Given: m n Prove: m∠1 + m∠2 + m∠3 = 180° Proving the Exterior Angle Theorem: Write a two-column proof to prove the following: Given: m∠2 + m∠3 + m∠4 = 180° Prove: m∠1 = m∠3 + m∠4 ________Statements Reasons __________ Proving the Pythagorean Theorem: Review of a few area forumlas: Find an expression that represents the area of the big square in two different ways: a) Using two sides of the big square: b) Using 4 triangles and the small square. Since both equations in question number 1 represent the same area, set them equal to each other and simplify. What do you notice about the new equation?