Addition Property of Equality

A=B

C=D

A+C=B+D

• Addition Property of Equality

• Segment Addition Axiom

• Angle Addition Axiom

AB=BC

DE=DE

AB + DE = BC + DE

• Addition Property of Equality

• Segment Addition Axiom

• Angle Addition Axiom

m<A = m<B m<2 = m<2 m<A +m<2 = m<B + m<2

• Addition Property of Equality

• Segment Addition Axiom

• Angle Addition Axiom

x=y

1=1

x+1=y+1

• Addition Property of Equality

• Segment Addition Axiom

• Angle Addition Axiom

Which completes the proof?

• a. Given

  b. Simplify

  c. Addition Property of Equality

  d. Multiplication Property of Equality

  e. Reflexive Property of Equality

• a. Given

  b. Substitution Property

  c. Addition Property of Equality

  d. Division Property of Equality

  e. Reflexive Property of Equality

• a. Given

  b. Substitution Property

  c. Addition Property of Equality

  d. Division Property of Equality

  e. Symmetric Property of Equality

• a. Given

  b. Substitution Property

  c. Addition Property of Congruency

  d. Division Property of Congruency

  e. Symmetric Property of Congruency

Which completes the proof?

• a. Angle Addition Postulate

  d. Addition Property of Equality

• a. Angle Addition Postulate

  d. Addition Property of Congruency

• a. Segment

  Addition Postulate

  d. Addition Property of Equality

• a. Angle Addition Theorem

  d. Addition Property of Equality

1. Given

2. Substitution Property

3. Addition Property of Equality

4. Division Property of Equality

5. Symmetric Property of Equality

• 1. 3y=5x-39 and y=7

  2. 3y= 5(7)-39

  3. 3y = 35-39

  4. 3y = -4

  5. y=-4/3

• 1. 3y=5x-39 and y=7

  2. 21= 5x-39

  3. 60 = 5x

  4. 12 =x

  5. x=12

• 1. 3y=5x-39 and y=7

  2. 3(7)= 5x-39

  3. 21 = 5x-39

  4. 60 =5x

  5. 12=x

• 1. 3y=5x-39 and y=7

  2. 3(7)= 5(12)-39

  3. 21= 60-39

  4. 21 =21

  5. x=12

Why do you add 7 to both sides?

• To undo addition, you subtract.

• To balance the equation, you subtract 7 on both sides.

• To undo subtraction, you add.

• To balance the equation,you add 7 to both sides.

How do you solve this equation?

• add 21 to both sides

• add 6 to both sides

• subtract 21 from both sides

• subtract 6 from both sides

If 2x - 5 = 10, then 2x = 15.

• Subtraction Property of Equality

• Addition Property of Equality

• Division Property of Equality

• Substitution