Chapter 2

How many propositions are in the statement below? I will buy you a huge bacon cheeseburger and wash your car if and only if you give me your big screen tv.

3

In a 2 column proof what goes on the left side

A list of statements

Which of the following connectors is the logical conjunction?

AND

Which is a correct logical disjunction formed with the following phrase? Algebra is easy Geometry is a breeze

Algebra is easy or geometry is a breeze

Which of the following occurs with a direct proof

All are correct

In the following statement which part is the hypothesis? If all mammals are animals, then dogs are animals.

All mammals are animals

All of the following are used in geometric proofs except:

Conjecture

Hitch is a correct logical conjunction formed with the following phrases? Drew likes roses Drew loves lilies

Drew likes roses and Drew loves Lillie's

If he eats a hamburger then he will eat two bags of fries. Which of the following represents the hypothesis?

He eats a hamburger

Which of the following is the inverse of the below argument? If I am in Kansas, then I am in the United States

If I'm not in Kansas, then I am not in the United States

Which of the following is a conditional statement whose hypothesis is "Joe has a red car" and whose conclusion is "Billy gets to drive it"

If Jos has a red car then Billy gets to drive it.

Which of the following is a conditional statement?

If a dog barks then a cat will meow

Which of the following is a conditional statement?

If a square is a rectangle then a triangle is a shale

If a=c and b=c what kinds of new statements can you make?

If a=c and b=c then a=b If b=2 then a=1

Which of these is the logical contrapositive to the following statement? If killing in any sense is wrong, then murder is wrong.

If murder is not wrong, then killing in any sense is not wrong.

All of the following statements could be proven with a direct proof except:

If n is an odd integer, then m is an even integer

Triangles have 180 degrees in total, and squares are two triangles put together. What can you say about the totally degrees of a square?

If triangles have 180 degrees in total, then squares have 360 degrees in total

What is a given statement?

Is provided as part of the question

Which is the correct definition of a disjunction?

It is when two or more statements are connected with an "OR". The combined compound statement can be labeled as true when just one of the statements is true.

Which is the correct definition of a conjunction?

It is when two statements are connected with an "AND" only when both statements are true is the resulting compound statement true.

What does the statement, "we will go get ice cream if and only if you clean your room mean?

It means no clean room, no ice cream

If Jimmy does his chores, then Jimmy will get a big scoop of chocolate ice cream. Which of the following represents the conclusion in the above conditional statement?

Jimmy will get a big scoop of ice cream

Which of the following connectors is the logical disjunction?

OR

What is the hypothesis in the following statement? If p is an even integer and q is an odd integer, then p+q is an odd integer.

P is an even integer

In a 2 column proof what goes on the right side

Reasons

Which of the following is a logic proposition?

Sam only ways square foods. Circles roll

The converse of a logical statement is found by doing what?

Switching the hypothesis and conclusion

The pond is not frozen over. The fish are not jumping. For the combination p and not q, for which truth values of p and q is the combination true

T and F

The dog rolls over on command The dog gets a treat For the combination p and q, for which truth values of p and q is the combination true?

T&T

Which of these is always logically equivalent to the inverse?

The converse

What is the conclusion in the following statement? If p and q are odd integers, then pq is odd.

Then pq is odd

If the following two propositions are true, which is a true statement? Theresa loves dogs. Spot is a dog.

Theresa will love spot because spot is a dog

What is the negation of Triangles are not squares?

Triangles are squares

A statement can be determined to be which of the following through a direct proof?

True or false

All of the following are recommended steps when completing geometry proofs except

Write the steps in paragraph form.

If x=1 and y=2 what can be said about z if z=xy?

Z=2