Revised Test 3: Logic and Proofs

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.

• If I do not have a Siberian Husky, then I do not have a dog.

• If I have a dog, then I have a Siberian Husky.

• If I do not have a Siberian Husky, then I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

• If I do not have a Siberian Husky, then I do not have a dog.

• If I have a dog, then I have a Siberian Husky.

• If I do not have a dog, then I do not have a Siberian Husky.

What does this mean?

• Conditional Statement

• Inverse Statement

• Converse Statement

What does this mean?

• Conditional Statement

• Converse

• Contrapositive

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

• If I have a Siberian Husky.

• I have a Siberian Husky.

• I have a dog.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

• If I have a Siberian Husky.

• I have a Siberian Husky.

• I have a dog.

If I only like sandwiches with egg AND bacon. Do I like bacon sandwiches?

• yes

• no

• it depends

I will go to the party if Billy or Bob are there. Will I go if only Billy is there?

• yes

• no

What number belongs in the blank?

18,24,___,36,42

• 28

• 31

• 30

Which of the following provide a counterexample to the claim:

"If two angles are supplementary, then they are not congruent."

•  $40\degree\ and\ \ 140\degree$ 

•  $80\degree\ and\ \ 80\degree$ 

•  $90\degree\ and\ \ 90\degree$