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Published byBrian Harvey Modified over 6 years ago

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Unit 2 Part 2 Statement and Reason Proofs

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Two Column Proof Statement | Reason 1 st Statement | Reason 2 nd Statement | Reason etc…

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Here are SOME of the reasons. Addition Property Subtraction Property Multiplication Property Division Property Substitution Property Distributive Property

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Given: -4(11x + 2) = 80 Prove x=-2 Statement | Reason -4(11x + 2) = 80 | Given -44x – 8 = 80 | distributive property -44x = 88 | addition property x = -2 | division property

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More reasons Reflexive Property Example AB=AB or ∠ A = ∠ A Symmetric Property Example C = D then D = C Transitive Property If A = D = G, then A = G

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More reasons Segment Addition Postulate Example AB + B C = AC Angle Addition Postulate Example ∠ ABC + ∠ CBD= ∠ ABD Definition of Vertical Angles Definition of Supplementary Angles Definition of Complementary Angles

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Given 3(x-2) = x + 4 prove x=5 Statement Reason Given Distribution Prop. Subtraction Prop. Addition Prop. Division Prop.

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Given WY = XZ prove WX = YZ W X Y Z Statement Reason Given Segment Addition Post. WY = XZ WX + XY = XY + YZ XZ = XY + YZ WX = YZ Substitution Prop. Subtraction Prop. WY= WX + XY Segment Addition Post.

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Prove angle ABC = angle DBE Given ∠ ABD = ∠ CBE A B C D E Statement Reason Given Angle Addition Post. ∠ ABD = ∠ CBE ∠ ABC + ∠ CBD = ∠ CBD + ∠ DBE ∠ CBE = ∠ CBD + ∠ DBE ∠ ABC = ∠ DBE Substitution Prop. Subtraction Prop. ∠ ABD = ∠ ABC + ∠ CBD Angle Addition Post.

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These are difficult, but practice, practice, practice, practice…..

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