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Transcript
Advanced Geometry Deductive Reasoning Lesson 4 Prove Theorems Reasons •Definition of right angle •Definition of straight angle •Definition of linear pair •Definition of perpendicular lines **Once you have proven a theorem, it can be used in any later proof as a reason. Midpoint Theorem If M is the midpoint of AB , then AM MB. A M B Supplement Theorem If two angles form a linear pair, then they are supplementary angles. Angles complementary to the same angle or to congruent angles are congruent. 2 1 3 Vertical Angles Theorem If two angles are vertical angles, then they are congruent. 2 1 4 3 If two angles are congruent and supplementary, then each angle is a right angle.
