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2.2 - Two Column Proofs Intro Algebra Proofs

Total questions: 35

Worksheet time: 36mins

Name
Class
Date
1.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Division Property of Equality

d)

Addition Property of Equality

2.

Which reason justifies the statement?

a)

Addition Property of Equality

b)

Multiplication Property of Equality

c)

Subtraction Property of Equality

d)

Division Property of Equality

3.

Which reason justifies the statement?

a)

Division Property of Equality

b)

Addition Property of Equality

c)

Multiplication Property of Equality

d)

Subtraction Property of Equality

4.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Multiplication Property of Equality

c)

Division Property of Equality

d)

Addition Property of Equality

5.

Which reason justifies the statement?

a)

Combine Like Terms

b)

Distributive Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

6.

Which reason justifies the statement?

a)

Reflexive Property of Equality

b)

Division Property of Equality

c)

Symmetric Property of Equality

d)

Commutative Property of Equality

7.

Which reason justifies the statement?

a)

Subtraction Property of Equality

b)

Combine Like Terms

c)

Addition Property of Equality

d)

Substitution Property of Equality

8.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
9.

What is step 2?

a)

Distributive Property

b)

Multiplication property of equality

c)

Division property of equality

d)

Substitution property

10.

What is step 6?

a)

Subtraction property of equality

b)

Division property of equality

c)

Addition property of equality

d)

Given

11.

What is step 2?

a)

Given

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Multiplication Property of Equality

e)

Addition Property of Equality

12.
Step 1 is what
a)
addition property of equality
b)
given
c)
subtraction property of equality
d)
prove
13.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
14.
What is reason 5?
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Prove
15.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
16.

 If 80 = m∠A, then m∠A = 80

a)

Reflexive PoE

b)

Symmetric PoE

c)

Transitive PoE

d)

Distributive Property

17.

What is always the 1st reason of a proof?

a)

Given

b)

Reason

c)

Prove

d)

Statement

18.

What should be the reason for step 4?

a)

Reflexive Property of Equality

b)

Subtraction

c)

Division

d)

Substitution

19.

Which of the following can be proved true by the Addition Property of Equality.

a)
b)
c)
d)
20.

Which of the following can be proved true by the Subtraction Property of Equality.

a)
b)
c)
d)
21.

Which of the following can be proved true by the Multiplication Property of Equality.

a)
b)
c)
d)
22.

Which of the following can be proved true by the Division Property of Equality.

a)
b)
c)
d)
23.

Which of the following can be proved true by the Substitution Property of Equality.

a)
b)
c)
24.

Which of the following can be proved true by the Transitive Property of Equality.

a)
b)
c)
25.

Which of the following can be proved true by the Distributive Property of Equality.

a)
b)
c)
26.

Which of the following can be proved true by the Symmetric Property of Equality.

a)
b)
c)
d)
27.

Which of the following can be proved true by the Commutative Property of Equality.

a)
b)
c)
d)
28.

Which of the following can be proved true by the Reflexive Property of Equality.

a)
b)
c)
d)
29.

Which of the following can be proved true by the Associative Property of Equality.

a)
b)
c)
d)
30.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
31.
a)
addition POE
b)
angle addition POE
c)
subtraction POE
d)
substitution POE
32.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
33.
If A = B, then 8A = 8B
a)
Multiplication POE
b)
Division POE
c)
Reflexive POE
d)
Addition POE
34.
If <M = <L then <L = <M
a)
Transitive POE
b)
Substitution POE
c)
Symmetric POE
d)
Reflexive POE
35.
What is the missing statement in the proof?
a)
Subtraction p.o.e.
b)
Substitution p.o.e.
c)
Transitive p.o.e.
d)
Symmetric p.o.e.

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