Conditional Converse Inverse Contrapositive

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

• It is Wednesday

• Jane doesn't have baseball practice

• If it is Wednesday

• Then Jane doesn't have baseball practice

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Are the events "takes Spanish" and "participates in a club" independent events?

• Yes, because P(S) is the same as P(S given C).

• No, because P(S) is not the same as P(S given C).

• Yes, because P(S) is the same as P(C given S).

• No, because P(S) is not the same P(C given S).

Given the conditional; "If Jose eats fish, then he has an allergic reaction" Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.

Given the statement "If I study, then I will do well in the quiz" and what is the statement "If I don't study then I won't do well in the quiz"?

• Converse

• Inverse

• Contrapositive

• Contrainverse

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.

• If the food is not in the oven, then it is not cooked.

• If the food is cooked, then its in the oven.

• If food is not in the oven, then its cooked.

If an isosceles triangle has 3 sides, then the isosceles triangle has 3 axes of symmetry. Choose the correct contrapositive for the given statement.

• If an isosceles triangle has 3 axes of symmetry, then the isosceles triangle has 3 sides.

• If an isosceles triangle has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

• If an isosceles triangle did not has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

• If an isosceles triangle did not has 3 axes of symmetry, then the isosceles triangle did not has 3 sides.

For the contrapositive we _________ the hypothesis and conclusion

• switch

• negate

• switch and negate

Given the conditional statement; "If Max gets good grade, then he won't be grounded" Which of the following is the contrapositive?

• If Max isn't grounded then he gets good grades.

• If Max doesn't get good grade then he will be grounded.

• If Max gets grounded then he doesn't get good grades.

• If Max gets good grades, the he will get grounded.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

• Destiny goes to work tonight

• Destiny doesn't go to work

• She will make money

• then she will make money