Unit 2 Part 2Statement and Reason Proofs

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

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

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

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

GivenDistribution 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 + XYSegment Addition Post.

Prove angle ABC = angle DBE Given ∠ ABD = ∠ CBE

A

B

CD

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…..