Unit 2 Test Review

What is inductive reasoning?

• A process of reasoning that uses specific examples to make a general conclusion.

• A process of reasoning that uses general principles to make a specific conclusion.

• A process of reasoning that uses a counterexample to disprove a statement.

• A process of reasoning that uses definitions to prove a statement.

Which of the following is a counterexample to the statement: "All prime numbers are odd"?

• 3

• 5

• 2

• 7

What is the converse of the conditional statement "If it is raining, then the ground is wet"?

• If the ground is wet, then it is raining.

• If it is not raining, then the ground is not wet.

• If the ground is not wet, then it is not raining.

• If it is raining, then the ground is wet.

Evaluate the truth value of the conditional statement: "If a number is even, then it is divisible by 2."

• True

• False

Which of the following is a biconditional statement?

• If a figure is a square, then it has four sides.

• A figure is a square if and only if it has four equal sides and four right angles.

• If a figure has four sides, then it is a square.

• A figure is a square if it has four sides.

What is the inverse of the conditional statement "If today is Monday, then tomorrow is Tuesday"?

• If tomorrow is Tuesday, then today is Monday.

• If today is not Monday, then tomorrow is not Tuesday.

• If tomorrow is not Tuesday, then today is not Monday.

• If today is Monday, then tomorrow is Tuesday.

Which law is used in the following reasoning: "If p, then q. p is true. Therefore, q is true."

• Law of Syllogism

• Law of Detachment

• Law of Contraposition

• Law of Inference

What is the contrapositive of the statement "If a figure is a triangle, then it has three sides"?

• If a figure does not have three sides, then it is not a triangle.

• If a figure has three sides, then it is a triangle.

• If a figure is not a triangle, then it does not have three sides.

• If a figure does not have three sides, then it is a triangle.

Which of the following is a property of equality?

• Reflexive Property

• Transitive Property

• Symmetric Property

• All of the above

What is the Law of Syllogism?

• If p, then q. If q, then r. Therefore, if p, then r.

• If p, then q. p is true. Therefore, q is true.

• If p, then q. If not q, then not p.

• If p, then q. If q, then p.