Logic Review

Which statement is the converse of the given statement?
If you make an insurance claim, then your rates will go up.

• If your insurance rates do not go up , then you have not maid a claim.
• If you do not make an insurance claim, then your rates will not go up.
• If your insurance rates go up, then you have made an insurance claim.
• If you make an insurance claim, then your rates will not go up.

Which statement is the contrapositive of the given statement?
If a person is a banjo player, then the person is a musician.

• If a person is not a musician, then the person is not a banjo player.
• If a person is not a banjo player, then the person is a musician.
• If a person is not a banjo player, then the person is not a musician.
• If a person is a musician, then the person is a banjo player.

Tags

CCSS.RI.7.1

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

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. 

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

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

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

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

Use the law of syllogism to draw a conclusion from the two given statements:
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy

• You have more energy
• If you exercise regularly, then you have more energy
• You have a healthy body
• If you do not have a healthy body, then you do not exercise regularly

If Bill wears a green shirt, then he will pass the test. Bill wore a green shirt.

What can you conclude?

• Bill wore a green shirt.

• Bill passed the test.

• Nothing

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

Write the definition as a biconditional:
An acute angle is an angle whose measure is less than 90⁰.

• An angle is acute if its measure is less than 90⁰.
• An angle is acute if and only if its measure is less than 90⁰.
• An angle's measure is less than 90⁰ if it is acute.
• An angle is acute if and only if it is not obtuse.

Tags

CCSS.HSG.CO.A.1

Determine whether the stated conclusion is valid.
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.

• Invalid
• Valid
• Sammy is a Great Dane
• Sammy is really a cat.

Tags

CCSS.HSS.CP.A.5

Which law of deductive reasoning is being used, if any?
If a triangle is equilateral, then all three sides are congruent. 
If all the sides of a triangle are congruent, then the angles opposite them are congruent. 
Therefore, if a triangle is equilateral, then the angles opposite the sides are congruent.

• Law of Detachment
• Law of Syllogism
• Law of the Contrapositive
• Not valid