Question

1) What words match this description?

a law of deductive reasoning that states that if a conditional statement is true and its hypothesis is true, then the conclusion will also be true


Law of Syllogism

Law of Detachment

Conjunction

Valid argument

2) What words match this description?

an argument that uses logic in the form of definitions, properties, and previously proved principles to show that a conclusion is true


Valid argument

Conjunction

Proof

Argument

3) What words match this description?

a series of reasons that leads to a conclusion


Valid argument

Conjunction

Proof

Argument

4) What words match this description?

an application of deductive reasoning such that the reasoning is logically correct and undeniably true


Argument

Law of Detachment

Valid argument

Law of Syllogism

5) What words match this description?

a compound logic statement made up of two statements joined together with the word "and"


Proof

Law of Detachment

Law of Syllogism

Conjunction

6) What words match this description?

a law of deductive reasoning that states that if two conditional statements are true, and if the conclusion of the first statement is the hypothesis of the second statement, then a conclusion based on the conditional statements will also be true


Argument

Law of Syllogism

Proof

Law of Detachment

7) Is this a valid argument?

Given: If the sum of the measure of two angles equals , then the angles are complementary.

The sum of the measures of and is

Conclusion: and are complementary.


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.

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

Answer 1

1) Law of Detachment

2) Proof

3) Argument

4) Valid argument

5) Conjunction

6) Law of Syllogism

7) Yes. This argument uses the Law of Detachment.