Geometry Quiz 4 - Logic

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.

Given: If Amanda goes to the restaurant, then she will order a hamburger.

Given: If she orders a hamburger, then she will get fries.

Conclusion: If Amanda goes to the restaurant, then she will get fries.

• Law of Detachment

• Invalid

• Law of Syllogism

• Law of Contrapositive

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

Q. 

Which of the following statements is logically equivalent to

"If you live in a mansion, then you have a big heating bill."?

• If you have a big heating bill, then you live in a mansion.

• If you do not have a big heating bill, then you do not live in a mansion.

• If you do not live in a mansion, then you do not have a big heating bill.

• If you live in a mansion, then you do not have a big heating bill.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

If a person is a librarian, then they read books.

If a person is a friend of Dana’s, then they read books.

• No valid conclusion possible

• Yes, using the Law of Syllogism

• Yes, using the Law of Detachment

• Yes, using the Law of Contrapositive

Tags

CCSS.L.3.1I

CCSS.L.4.2C

CCSS.L.5.1E

CCSS.L.7.1B

CCSS.L.9-10.2A

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

• It is Wednesday

• Jane doesn't have baseball practice

• If it is Wednesday

• Then Jane doesn't have baseball practice

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

• If I have a Siberian Husky.
• I have a Siberian Husky.
• Then I have a dog.
• I have a dog.

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1

If an animal is furry, then it is a hamster. What would be an appropriate counterexample?

• goldfish
• frog
• elephant
• cat

Tags

CCSS.W.11-12.2D

CCSS.L.6.5B

CCSS.L.8.5B

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.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

When taking the inverse we _____________ the hypothesis and conclusion.

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

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

When taking the converse we ___________ the hypothesis and conclusion.

• negate

• switch

• leave the same

• switch and negate

Tags

CCSS.RI.8.1

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.8

CCSS.RL.8.1