Identifying Properties of Equality and Congruence

Name the property described
If CD = 4, then CD + 12 = 4 + 12

• Addition

• Subtraction

• Substitution

• Division

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

Which option completes the proof?

• a. Given

  b. Subtraction Property of Equality

  c. Multiplication Property of Equality

• a. Addition Property of Equality

  b. Subtraction Property of Equality

  c. Multiplication Property of Equality

• a. Given

  b. Symmetric Property of Equality

  c. Division Property of Equality

• a. Segment Addition Postulate

  b. Subtraction Property of Equality

  c. Multiplication 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

Answer explanation

Angles 2and 4 are vertical angles

Which completes the proof correctly?

• a. Angle Addition Postulate

  b. Substitution

  c. Simplify

  d. Subtraction Property of Equality

  e. Division Property of Equality

• a. Segment Addition Theorem

  b. Substitution

  c. Simplify

  d. Subtraction Property of Equality

  e. Division Property of Equality

• a. Segment Addition Postulate

  b. Substitution

  c. Addition Property of Equality

  d. Subtraction Property of Equality

  e. Division Property of Equality

• a. Segment Addition Postulate

  b. Substitution

  c. Simplify

  d. Subtraction Property of Equality

  e. Division Property of Equality

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

• addition property of equality

• subtraction property of equality

• division property of equality

• multiplication property of equality

What property of equality is shown below?

• addition property of equality

• subtraction property of equality

• multiplication property of equality

• division property of equality