Unit 3 Logic Practice

Used to prove that a conjecture is false.

• Counterexample
• Inductive Reasoning
• Concluding statement
• Conjecture

Which of the following provides a counterexample to the following statement: "All 4 legged animals are dogs"

• A lizard

• A snake

• A cat

• A poodle

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which of the following gives a counterexample to the following statement: "If ∠A is acute, then m∠A = 65° ".

• m∠A = 100°

• m∠A = 80°

• m∠A = 175°

• m∠A = 90°

Tags

CCSS.7.G.B.5

Which of the following gives a counterexample to the following statement: "If ∠A is obtuse, then m∠A = 120° ".

• m∠A = 100°

• m∠A = 80°

• m∠A = 180°

• m∠A = 90°

Tags

CCSS.7.G.B.5

Which of the following gives a counterexample to the following statement: "If ∠A is not obtuse, then it is acute".

• m∠A = 100°

• m∠A = 80°

• m∠A = 175°

• m∠A = 90°

Tags

CCSS.7.G.B.5

Identify the converse of the following statement

"If it snows, then we will not have school."

• If it snows, then we will not have school

• If it does not snow, then we will have school.

• If we do not have school, then it snowed.

• If we have school, then it did not snow.

Identify the inverse of the following statement

"If it snows, then we will not have school."

• If it snows, then we will not have school

• If it does not snow, then we will have school.

• If we do not have school, then it snowed.

• If we have school, then it did not snow.

Identify the contrapositive of the following statement

"If it snows, then we will not have school."

• If it snows, then we will not have school

• If it does not snow, then we will have school.

• If we do not have school, then it snowed.

• If we have school, then it did not snow.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Using the law of syllogism, what is the conclusion given the following statements:

If it is Monday, then we will go to school.

If we go to school, then I will have math class.

• Therefore, If it is Monday, then we will have math class.

• Therefore, If it is not Monday, then we will not have math class.

• Therefore, If it is Monday, you will have a math test.

• Therefore, If we don't go to school, then you will not have math class.

Using the law of detachment, which of the following is the conclusion given the statements below:

If you earn money, then you work a job.

Sarah earned money.

• Sarah got a promotion

• Sarah worked a job.

• Sarah did not work very hard

• Sarah loves her job.