1-5 Conditional Statements

Match the following, given that hypothesis is p and conclusion is q

• Converse

• Biconditional

• Contrapositive

• Conditional

• Inverse

Organize these options into the correct categories

Groups:

(a) True

,

(b) False

• Inverse of: "If angles are complementary, then their measures sum to 90."

• If angles are complementary, then their measures sum to 90.

• Converse of: "If it is a bird, then it is a duck."

• "If it is a bird, then it is a duck."

• Contrapositive of: "If a number is divisible by 3, then it is odd."

• A shape is a square if and only if it is a rectangle.

What is the conclusion to the statement?

"If you like fried chicken, then you like KFC."

• You like fried chicken
• You only like fried chicken from KFC
• You like KFC
• You hate KFC

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.

What is the hypothesis of this conditional?

"If Sally goes to the park, then she will fall off the swing."

• Sally goes to the park.
• Sally will fall off the swing.
• Parks don't have swings that Sally goes to.
• If Sally falls off the swing, she goes to the park.

• false
• true
• cannot be determined

• True

• False

• Cannot be Determined

Answer explanation

This is false. It could be Sunday, and no school.

Is the converse of the following statement True or False?

"If I am sleeping, then I am breathing."

• False

• True

• true
• cannot be determined
• false

What is the converse to this statement?

"If it is dark outside, then it is night."

• If it isn't dark outside, then it is not night.
• If it is night, then it is dark outside
• If it is not night, then it is not dark outside.
• It is night.