Deductive Reasoning

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.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RI.8.1

CCSS.RI.8.8

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

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

Draw a conclusion from the statement.
If a whole number is even, then its square is divisible by 4.
The number I am thinking of is an even number.

• Then it's not odd.
• Then it's a whole number.
• Then its square is divisible by 4
• Then it's even.

Draw a conclusion from the statement.
If you are at least 25 year old, then you can rent a car.
You can rent a car

• You are at least 25 years old
• You can rent a car
• You can go on a road trip
• Invalid

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RI.8.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

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.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

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

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

What conclusion can be drawn from the following:

If you go to the swimming pool, then you will enjoy yourself. If you enjoy yourself, you will want to return.

• If you return to the pool you will enjoy yourself.

• If you enjoy yourself, then you went to the pool.

• If you go to the pool, you will want to return.

• No conclusion can be made.

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

What conclusion can be drawn from the following:

If the sun is shining it is a beautiful day. If it is a beautiful day then we will go hiking.

• If the sun is not shining, we will not go hiking.

• If the sun is shining then we will go hiking.

• No conclusion can be made.

• If we go hiking, then it is a beautiful day.

Tags

CCSS.RL.11-12.1

CCSS.RL.9-10.1

CCSS.RL.8.1

CCSS.RI.11-12.2

CCSS.RI.9-10.1

Which law of logic is this?

If I clean the bathroom, then I don't have to do the dishes.

I cleaned the bathroom.

Therefore, I don't have to do the dishes.

• Law of Detachment

• Law of Syllogism

• Law of Contrapositive

• None

If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?

• ∠A is complementary to ∠B
• ∠A is acute.
• ∠A is obtuse.
• ∠A is 40⁰