A logical argument that shows a statement is true.

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Presentation transcript:

A logical argument that shows a statement is true. A two-column proof has numbered statements and corresponding reasons that show an argument in logical order. A statement that can/must be proven.

Given (The given info is almost always first). 1 2 3 4 Substitution Property of Equality Given 3 Subtraction Property of Equality

AB ≅ AB CD ≅ AB AB ≅ EF ∠A ≅ ∠A ∠B ≅ ∠A ∠A ≅ ∠C Symmetric Propery of Congruence

Segment Addition Postulate Substitution Property of Equality Transitive Property of Congruence

Given ∠1 ≅ ∠2 or ∠ABD ≅ ∠CBD m∠1 = m∠2 Angle Addition Postulate 1 2 × m∠1 = m∠ABC

Given AB = CD CD = AB

Transitive Property of Congruence Given AR ≅ RM Rest Area A Rice Exit Mason Exit Rest Area B A R M B AR = RM Transitive Property of Congruence A R M B A R M B MB ≅ RM Definition of Midpoint

Rest area A and rest area B are the same distance away from the rumble strips.