Logical Reasoning Review

Which of the following is the converse of the statement:
"If you are a guitar player, then you are a musician."

• If you are not a guitar player, then you are not a musician.
• If you are a musician, then you are a guitar player.
• If you are a guitar player, then you are not a musician.
• If you are not a musician, then you are not a guitar player.

Tags

CCSS.L.8.1C

CCSS.L.8.3A

CCSS.L.2.1F

When taking the converse we ___________ the hypothesis and conclusion.

• negate
• switch
• leave the same
• switch and negate

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

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

• 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 is the converse of the following?

If you live in Landisville, then you go to Hempfield.

• If you don't live in Landisville, then you don't go to Hempfield.

• If you live in Landisville, then you don't go to Hempfield.

• If you go to Hempfield, then you live in Landisville.

p→q
What is the inverse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

When taking the inverse we _____________ the hypothesis and conculsion

• negate
• switch
• switch and negate
• keep the same

Tags

CCSS.L.4.1C

CCSS.L.2.1F

CCSS.L.1.1J

p→q
What is the contrapositive?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

p→q
What is the converse?

• q→p
• ∼p→∼q
• ∼q→∼p
• p→∼q

What does this mean?

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