6.1 Logic Laws Assignment- GRADED

If you live in the Bronx, then you live in New York.

Tracey lives in the Bronx.

Therefore, ___________________________________.

• Tracey does not live in the Bronx.

• Tracey lives in New York

• if you live in New York, then you live in the Bronx.

• Tracey does not live in New York.

If  $\angle A$  and  $\angle B$   are vertical angles, then  $\angle A$    and  $\angle B$    are congruent.
  $\angle A$  and  $\angle B$   are not congruent
Therefore, _________________________.

•  $\angle A$  and  $\angle B$  are veritical angles.

•  $\angle A$  and  $\angle B$  are not veritcal angles.

• If  $\angle A$  and  $\angle B$  are not congruent, then  $\angle A$  and  $\angle B$  are not vertical angles.

• If $\angle A$  and  $\angle B$  are not vertical angles, then  $\angle A$  and  $\angle B$  are not congruent.

Tags

CCSS.HSG.CO.C.9

Determine the law of logic that is presented:

If you are a vampire, then you cannot go out in the sun.

If you cannot go out in the sun, then you cannot get a tan.

Therefore, if you are a vampire, then you cannot get a tan.

• Law of Detachment

• Law of Contrapositve

• Law of Syllogism

• No Valid Law

Determine the law of logic that is presented:

If an angle measures less than 90⁰, then it is an acute angle.

The angle measures less than 90⁰.

Therefore, it is an acute angle.

• Law of Detachment

• Law of Contrapositive

• Law of Syllogism

• No Valid Law

Determine the law of logic that is presented:

If a color is red, then it is not blue.

The color is blue.

Therefore, it is not red.

• Law of Detachment

• Law of Contrapositive

• Law of Syllogism

• No Valid Law

Assuming these statements are true,

If I get good grades in highschool, I will go to college.

I got all good grades.

Which is a valid conclusion using the law of detachment?

• I am not going to college.

• I am not getting good grades.

• I am going to college.

• I am a good student.

Using deductive reasoning, if the first two statements are true, then which third statements are invalid?

• 
  

  $\sim p\rightarrow\sim q$

  $\sim q\rightarrow\sim v$
  $\therefore\sim p\longrightarrow\sim v$
  

• $p\rightarrow q$
  $q\rightarrow v$
  $\therefore\sim v\longrightarrow\sim p$
  

• $p\rightarrow q$
  $q\rightarrow v$
  $\therefore p\longrightarrow v$
  

• $p\rightarrow q$
  $q\rightarrow\sim v$
  $\therefore v\longrightarrow p$
  

If $p\rightarrow q$ and  $q\rightarrow b$ , then-

•  $\sim p\rightarrow q$  

•  $\sim p\rightarrow\sim q$  

•  $p\rightarrow b$  

•  $b\rightarrow p$  

Assume the following statements are true.

If Allison goes to work, then she will get paid.

If Allison gets paid, then she will go to the movies.

Which of the following is a valid conclusion?

• If Allison gets paid, then she does not have to go to work.

• If Allison goes to work, then she will go to the movies.

• If Allison gets paid, then she went to work.

• If Allison goes to the movies, then she gets paid.

In which group of statements is NOT justified by the previous pair of statements?

• Student 1 is older than Student 2.

  Student 2 is older than Student 3.

  Student 1 is older than Student 3.

• All plants need air.

  Daffodils are plants.

  Daffodils need air.

• All dogs have four legs.

  The student's pet has four legs.

  The student's pet is a dog.

• All teachers went to college.

  The woman is a teacher.

  The woman went to college.

Tags

CCSS.HSA.REI.A.1