Two Column Proofs Angles

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Presentation transcript:

Two Column Proofs Angles ∠A ≅ ∠B Vertical angles are congruent A B ∠A ≅ ∠B Alternate angles are congruent ∠A ≅ ∠D Corresponding angles are congruent ∠A + ∠C = 180 Interior corresponding angles are supplementary C D A B

Alternate angles are congruent ∠4 ≅ ∠10 Corresponding angles are congruent ∠10 ≅ ∠14 ∠4 ≅ ∠14 Transitive property of quality ∠14 + ∠15 = 180 Angles on a straight line are supplementary ∠4 + ∠15 = 180 Substitution property ∠4 and ∠15 are supplementary Def of supplementary angles

Angles on a straight line are s Right angle is 90 Subtraction property of equality Vertical angles are congruent Right angle is 90 Substitution property of equality Transitive property of equality

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