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2.6 – Proving Statements about Angles

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

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  1. 2.6 – Proving Statements about Angles Definition: Theorem A true statement that follows as a result of other true statements

  2. Right Angle Theorem (2.3) • All Right Angles are Congruent

  3. 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 2 1 3

  4. 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 5 6 4

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

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

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