2.2/2.4 converse, inverse, contrapositive, biconditional

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

• 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.HSG.CO.C.9

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

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.L.8.3A

CCSS.L.8.1C

CCSS.L.2.1F

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.

Given the conditional;

"If Shawn is late then he will get a tardy"

What is the inverse?

• If Shawn is on time, then he won't get a tardy.

• If Shawn gets a tardy, then he is late.

• If Shawn is late then he won't get a tardy.

• If Shawn doesn't get a tardy, then he is on time.

Given the conditional;

"If our class earns ten trucks, then we get a treat."

What is the contrapositive?

• If our class doesn't earn ten trucks then we don't get a treat.

• If our class doesn't get a treat, then we didn't earn ten trucks.

• If out class earns ten trucks then we don't get a treat.

• Trucks!

Given the conditional;

"If it snows then school will be closed"

Which is the inverse?

• If school is open, then it didn't snow.

• If school is closed, then it snowed.

• If it doesn't snow, then school will not be closed.

• Let it Snow!

Tags

CCSS.HSS.CP.A.3

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

• If isn't not a duck, then it doesn't have a beak.

• If it is a duck, then it quacks.

• If it doesn't have a beak, then it's not a duck.

• If it has a beak, then it is a duck.

Given the conditional "If I study, then I will do well on the quiz" and what is the statement "If I don't study then I won't do well on the quiz"?

• Converse

• Inverse

• Contrapositive

• Contrainverse

What is the converse to this statement? "If it's a dog then it barks"

• All dogs bark
• Cat's don't bark
• If its not a dog than it barks.
• If it barks then its a dog.