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
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
Given 3(x-2) = x + 4 prove x=5 Statement Reason Given Distribution Prop. Subtraction Prop. Addition Prop. Division Prop.
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.
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.
These are difficult, but practice, practice, practice, practice…..