They are easier than Geometry ones!!

PROOFS• The “GIVEN” is always written first

– It is a “GIMME”

• The “PROVE” should be your last line

• Make a two column proof with Steps and Reasons

Algebra Reasons

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

• Distributive Property

2(x + y) = 2x + 2y

• Reflexive Propertyx = x

• Substitution Property

Justify each step in solving the equation.

23 45yy

15 20 2y y

13 20 0y

13 20y

2013

y

Multiplication Property

Subtraction Property

Subtraction Property

Division Property

Given

Justify each step in solving the equation.

6 12x x

7 12x

127

x

Given

Multiplication Property

Addition Property

Division Property

3 𝑥=6− 12 𝑥

First Geometry Proof YEAH!Given :Prove : 1 3

m AOC m BODm m

321

O

AB

C

D

Given :Prove : 1 3

m AOC m BODm m

STATEMENTS REASONS1. Given

2. Angle Addition Postulate

3. Substitution Prop

4. Subtraction Prop

321

O

AB

C

D

1.  𝑚∠𝐴𝑂𝐶=𝑚∠𝐵𝑂𝐷2.  𝑚∠𝐴𝑂𝐶=𝑚∠1+𝑚∠2 ;   𝑚∠𝐵𝑂𝐷=𝑚∠2+𝑚∠3

3.  𝑚∠1+𝑚∠2=𝑚∠ 2+𝑚∠3

4.  𝑚∠1=𝑚∠3

Try AnotherGiven : ;Prove :

ST RN IT RUSI UN

S I T

NUR

STATEMENTS REASONS

Given : ;Prove :

ST RN IT RUSI UN

S I T

NUR

1. Given

2. ; ST SI ITRN RU UN

2. Segment Addition Postulate

3. SI IT RU UN 3. Substitution Prop

4. Subtraction Prop

1.  𝑆𝑇=𝑅𝑁 ; 𝐼𝑇=𝑅𝑈

4.  𝑆𝐼=𝑈𝑁