Geometry - Truth Tables & Conditional Statements

What are the truth values for ~(p ∧ q) ∨ ~r

• F T F F F F F F

• F F T F T F T F

• F T T T T T T T

• F F F F F F T F

Given, "If angles are congruent, then the measures of the angles are equal." Identify the contrapositive.

• If the measures of the angles are equal, then the angles are congruent.
• If angles are not congruent, then the measures of the angles are not equal.
• If the measures of the angles are not equal, then the angles are not congruent.
• If the angles are not congruent, then the measure of the angles are equal.

This symbol, ∧, means?

• and

• or

• not

• if, then

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

What are the truth values for ~(p ∨ q)

• T T T F

• F F F T

• T F T F

• F T F T

p: the wind is blowing

q: the air is hazy

r: the weather is dry

Which of the following represents

"If the wind is blowing then, the air is hazy or the weather is dry"

• p ^ (q v r)

• p ^ (q ^ r)

• p ---> (r ^ q)

• p ----> (q v r)

What are the truth values for (p ∧ q) → ~q

• F F F F

• F T T T

• T T T F

• T T F T

This symbol, ∨, means?

• and

• or

• not

• if, then

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

For a conditional statement to be false the simple statements must be ______ followed by _______

• False followed by True

• True followed by True

• False followed by False

• True followed by False