Asked by D

1.
Choose the best answer.

Which property is illustrated?




Multiplication Property of Equality

Distributive Property of Equality

Associative Property of Multiplication

Commutative Property of Multiplication
2.
Choose the best answer.

Which property is illustrated?




Symmetric Property of Congruence

Reflexive Property of Angles

Reflexive Property of Congruence

Transitive Property of Congruence
3.
Choose True or False.

True or False: A series of reasons that leads to a conclusion is an argument.

False

True
4.
Choose the best answer.

Which property is illustrated?

For all expressions , , and , if , then .


Addition Property of Equality

Commutative Property of Addition

Distributive Property of Equality

Associative Property of Addition
5.
Choose the best answer.

Is this a valid argument?

Given: If the temperature is below then water will freeze.

If water freezes, then it will turn into a solid.

Conclusion: If the temperature is below water will turn into a solid.


No. This is an improper use of the Law of Syllogism.

Yes. This argument uses the Law of Syllogism.

Yes. This argument uses the Law of Detachment.

No. This is an improper use of the Law of Detachment.
6.
Choose True or False.
True or False: The Associative Property of Multiplication states that for all expressions , , and , .

True

False
7.
Choose True or False.

True or False: An argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true is a valid argument.

True

False
8.
Choose the best answer.

Is this a valid argument?

Given: If two points lie on the same plane, then they are coplanar.

Points and both lie on plane .

Conclusion: Points and are coplanar.


No. This is an improper use of the Law of Detachment.

Yes. This argument uses the Law of Detachment.

Yes. This argument uses the Law of Syllogism.

No. This is an improper use of the Law of Syllogism.
9.
Choose the best answer.

Is this a valid argument?

Given: If a flame is applied to paper, then the paper will burn.

If there are ashes, then the paper burned.

Conclusion: A flame burned the paper to ashes.


No. This is an improper use of the Law of Detachment.

No. This is an improper use of the Law of Syllogism.

Yes. This argument uses the Law of Detachment.

Yes. This argument uses the Law of Syllogism.
10.
Choose the best answer.

Which property is illustrated?

For all expressions and , if then .


Symmetric Property of Equality

Reflexive Property of Equality

Transitive Property of Equality

Substitution Property of Equality
11.
Choose True or False.

True or False: The Associative Property of Addition states that for all expressions , , and , .

False

True
12.
Choose True or False.

True or False: A compound logic statement made up of two statements joined with the word "and" is a conjunction.

False

True

All Answers 1

Answered by GPT-5 mini AI
1. Associative Property of Multiplication
2. Reflexive Property of Congruence
3. True
4. Addition Property of Equality
5. Yes. This argument uses the Law of Syllogism.
6. True
7. True
8. Yes. This argument uses the Law of Detachment.
9. No. This is an improper use of the Law of Syllogism.
10. Symmetric Property of Equality
11. True
12. True