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2.6 – Proving Statements about Angles. Definition: Theorem A true statement that follows as a result of other true statements. Right Angle Theorem (2.3). All Right Angles are Congruent. Congruent Supplements Theorem (2.4).

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2 6 proving statements about angles l.jpg

2.6 – Proving Statements about Angles

Definition: Theorem

A true statement that follows as a result of other true statements


Right angle theorem 2 3 l.jpg
Right Angle Theorem (2.3)

  • All Right Angles are Congruent


Congruent supplements theorem 2 4 l.jpg
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 = 180o and m<2 + m<3 = 180o, then <1 <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 = 90o, and m<5 + m<6 = 90o, then <4 <6

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Linear Pair Postulate (12)

  • If two angles form a linear pair, then they are supplementary

  • M<1 + m<2 = 180o

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Vertical angles theorem 2 6 l.jpg
Vertical Angles Theorem (2.6)

  • Vertical Angles are congruent

  • <1 <3; <2 <4

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