2.6 â Proving Statements about Angles

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# 2.6 â Proving Statements about Angles - PowerPoint PPT Presentation

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

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)
• 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)
• Vertical Angles are congruent
• <1 <3; <2 <4

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