Logic Review

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

Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, therefore

• look out for the snowplows while driving to school.
• the big test will not be given today.
• the roads will be hard to drive on.
• you should call the school to see if school is canceled.

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

Identify the hypothesis and conclusion of the conditional statement:
If it is raining, then it is cloudy.

• H: It is raining
  C: It is cloudy.
• H: It is cloudy.
  C: It is raining.
• H: Clouds make rain.
  C: Rain does not make clouds.
• H: Rain and clouds happen together.
  C: Rain and clouds do not happen together.

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

What is the inverse of "If it is Saturday, then it is the weekend"?

• If it is the weekend, then it is Saturday.
• If it is not Saturday, then it is the weekend.
• If it is not the weekend, then it is not Saturday.
• If it is not Saturday, then it is not the weekend.

Tags

CCSS.HSS.CP.A.1

What is the converse of “If you saw the movie, then you know how it ends”?

• If you know how the movie ends, then you saw the movie.
• If you did not see the movie, then you do not know how it ends.
• If you do not know how the movie ends, then you did not see the movie.
• If you do not know how the movie ends, then you saw the movie.

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

Draw a conclusion from the statement.
If you live in Orlando, then you live in Florida.
You live in Orlando.

• You live in Disney Land
• You are an old person.
• You live in Florida
• You live in Orlando

Draw a conclusion from the statement.
If you go fishing, then you will need to bring your fishing rod.
You go fishing.

• You will need to bring your fishing rod.
• Invalid
• You are a boring person.
• You are going to catch a fish.