Logic

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

What does this mean?

• Conditional Statement
• Inverse Statement
• Converse Statement
• Contrapositive Statement

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

Conditional: If Maria gets married, then the reception will be at the country club.
What is this statement: If the reception is at the country club, then Maria will be getting married.

• Converse
• Inverse
• Contrapositive
• Negation

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.

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

If a represents "Brent works this summer" and b represents "Brent takes a vacation" which symbols best represent the statement "If Brent works this summer then he will not take a vacation."

• a → b

• b→ a

• a → ~ b

• ~a → ~ b

Conditional: If it does not rain today, then we will have practice.
What is this statement called: If it rains today, then we will not have practice.

• Converse
• Inverse
• Contrapositive
• Negation

What does this mean?

• Conditional Statement
• Converse
• Inverse
• Contrapositive