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Published byBarbara Robbins Modified over 4 years ago

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2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements

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Right Angle Theorem (2.3) All Right Angles are Congruent

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Congruent Supplements Theorem (2.4) If two angles are supplementary to the same angle (or to congruent angles) then they are congruent If m<1 + m<2 = 180 o and m<2 + m<3 = 180 o, then <1 <3 1 2 3

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Congruent Complements Theorem (2.5) If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent If m<4 + m<5 = 90 o, and m<5 + m<6 = 90 o, then <4 <6 4 5 6

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Linear Pair Postulate (12) If two angles form a linear pair, then they are supplementary M<1 + m<2 = 180 o 12

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Vertical Angles Theorem (2.6) Vertical Angles are congruent <1 <3; <2 <4 1 2 3 4

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