REVIEW for Logic Test

Underline the hypothesis and italicize the conclusion in each statement.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

• If your dog eats Purina, then he’ll stay happy and healthy.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the converse of this statement?

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• If a polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the inverse of this statement?

• If the polygon is not a quadrilateral, then it is not a trapezoid.

• If the polygon is not a trapezoid, then it is not a quadrilateral.

• If the polygon is a trapezoid, then it is a quadrilateral.

• A rectangle is also a quadrilateral.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."

What is the contrapositive of this statement?

• If a polygon is a trapezoid, then it is a quadrilateral.

• If a polygon is not a quadrilateral, then it is not a trapezoid.

• If a polygon is not a trapezoid, then it is not a quadrilateral.

• A rectangle is also a quadrilateral.

The statement "an angle is a right angle if and only if its measure is 90^o" is an example of what type of statement?

• Conditional

• Conjecture

• Biconditional

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

What is the inverse of the following statement?

"If Jeremiah goes to the dance, then he will be grounded."

• If Jeremiah does not go to the dance, he will not be grounded.

• If Jeremiah was grounded, then he went to the dance.

• If Jeremiah was not grounded, then he did not go to the dance.

• If Jeremiah does not go to the dance, he will be grounded.

Find the contrapositive of the following statement:

"If Jack plays baseball, then Jack participates in sports."

• If Jack participates in sports, then Jack plays baseball.

• If Jack does not play baseball, then Jack does not participate in sports.

• If Jack does not participate in sports, then Jack does not play baseball.

• If Jack does not play baseball, then Jack participates in sports.

"If it is a Friday night, Raelene will go out to a restaurant to eat dinner."

If the statement above is always true, then which of the following statements is always true?

• If Raelene goes out to a restaurant to eat dinner, then it is Friday night.

• If it is Tuesday, Raelene will not go out to a restaurant to eat dinner.

• If Raelene does not go out to a restaurant to eat dinner, then it is not Friday night.

• If it is not Friday night, Raelene will not go out to a restaurant to eat dinner.

This symbol, ∨, means?

• and
• or
• not
• implies