What is the Contrapositive of a Conditional Statement?

What is the contrapositive of a conditional statement?

• A statement made by negating (adding "not" to) both parts of the original statement and flipping their order

• A statement that only negates (adding "not" to) the hypothesis of the original statement

• A statement that repeats the original statement in reverse order without negation

• A statement that negates (adding "not" to) both the hypothesis and conclusion without changing their order

In the contrapositive, what becomes the new hypothesis?

• The original conclusion without any changes

• The negation of the original hypothesis

• The negation of the original conclusion

• The original hypothesis without any changes

What is the new conclusion in the contrapositive?

• The original hypothesis without any changes

• The negation of the original hypothesis

• The original conclusion without any changes

• The negation of the original conclusion

Which of the following is a correct example of a contrapositive statement?

• If the ground is not wet, then it is not raining

• If it is raining, then the ground is not wet

• If the ground is wet, then it is raining

• If it is not raining, then the ground is wet

How does the contrapositive relate to the original statement's truth value?

• If the original statement is true, the contrapositive is also always true

• If the original statement is true, the contrapositive might be false

• If the original statement is false, the contrapositive is always true

• The truth value of the contrapositive is independent of the original statement

Which real-world example correctly illustrates a contrapositive?

• If you wear a helmet, then you are safe on your bike

• If you can play the game, then you followed the rules

• If the oven was not turned on, then the cookies are not baked

• If the cookies are baked, then the oven was turned on