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Prove Theorems Advanced Geometry Deductive Reasoning Lesson 4

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Definition of right angle Reasons 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.

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Midpoint Theorem If M is the midpoint of, then A B M

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Supplement Theorem If two angles form a linear pair, then they are supplementary angles.

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Angles complementary to the same angle or to congruent angles are congruent. 1 2 3

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Vertical Angles Theorem If two angles are vertical angles, then they are congruent. 1 2 3 4

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If two angles are congruent and supplementary, then each angle is a right angle.

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