Conditional Statements and Proof Writing

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. 

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. 

Tags

CCSS.HSS.CP.A.3

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

• 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. 

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

• 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.

Tags

CCSS.8.G.A.2

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse
• Inverse
• Contrapositive
• Negation

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

When taking the converse we ___________ the hypothesis and conclusion.

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

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

When taking the inverse we _____________ the hypothesis and conclusion.

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

Tags

CCSS.L.4.1C

CCSS.L.9-10.1B

Choose a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

• television
• cellular phone
• computer mouse
• keyboard