Deductive Reasoning HW

Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.

• It is not Friday
• It is Friday
• I will not get paid
• I will get paid

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.6

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, then...

• 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.

(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3)  The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?

• Law of Detachment
• Law of Syllogism
• Law of Contrapositive
• invalid

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

Which law of logic is this:

If it is July, then school is out.

If school is out, then Ms. Prose is happy.

Therefore, if it is July, then Ms. Prose is happy.

• Law of Detachment

• Law of Contrapositive

• Law of Syllogism

• No Law

All land animals can walk. Dog is a land animal.

• Therefore, dog cannot walk.

• Therefore, land animals are dogs.

• Therefore, dogs can walk.

• Therefore, dogs are land animals.

Use Law of Syllogism to make a conclusion.
 If a number is divisible by 10, then it is divisible by 2.  If a number is divisible by 2, then it is even.

• If a number is divisible by 10, then it is even,
• If a number is even, then it is divisible by 10.
• If a number is divisible by 2, then it is even.
• If a number is even, then it is divisible by 2.

By the Law of Detachment, what can you conclude from the statement? 
If two planes intersect, then their intersection is a line.
Planes S and T intersect.

• their intersection is a line
• their intersection is a point
• no conclusion can be made
• the planes are parallel

Tags

CCSS.HSG.CO.A.1

Determine if the conjecture is valid by the Law of Syllogism.
Given: If you are in California, then you are in the west coast. If you are Los Angeles, then you are in California.
Conjecture: If you are in Los Angeles, then you are in the west coast.

• No, the conjecture is not valid.
• Yes, the conjecture is valid.

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.