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Sec 2-6 Concept: Proving statements about segments and angles Objective: Given a statement, prove it as measured by a s.g.

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Theorems:

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Some Common Reasons: Given Definition of Congruence (for segments and angles) Definition of bisector (could be used for angles or segments) Definition of Midpoint (segments only) Definition of Right Angle Angle Addition Postulate Segment Addition Postulate Substitution Addition property of Equality Reflexive property of equality and congruence Definition of Perpendicular Definition of Supplementary Definition of Complementary

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What is a Proof? Example 1: 5 parts of a proof: Given, Prove, Diagram, Statements, Reasons

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Example 2:

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Example 3

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Example 4:

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Example 5:

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Example 6:

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Todays Work In Class: HW:

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2.5 Proving Statements about Segments

2.5 Proving Statements about Segments

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