Converse, Inverse, Contrapositive

How do you form the inverse of 'If it rains, then the ground is wet'?

• If it rains, then the ground is not wet.

• If it does not rain, then the ground is wet.

• If it does not rain, then the ground is not wet.

• If the ground is wet, then it rains.

What is the converse of a conditional statement?

• Switch the hypothesis and conclusion.

• Negate the hypothesis and conclusion.

• Keep the hypothesis and conclusion the same.

• Reverse the order of the hypothesis and conclusion.

What is the definition of a conditional statement?

• A statement that can be true or false depending on the circumstances.

• A statement that shows a cause-and-effect relationship.

• A conditional statement is an if-then statement that shows the relationship between a hypothesis and a conclusion.

• A statement that is always true regardless of the conditions.

How do you form the contrapositive of 'If it is sunny, then I will go outside'?

• If I do not go outside, then it is not sunny.

• If it is not sunny, then I will not go outside.

• If I go outside, then it is sunny.

• If it is sunny, then I will stay inside.

What is the inverse of a conditional statement?

• Negate the hypothesis and conclusion. (Put not IN the sentence)

• Switch the hypothesis and conclusion.

• Negate the conclusion only.

• Keep the hypothesis and conclusion the same.

What does it mean to negate a statement?

• The negation of a statement is the opposite of the original.

• The negation of a statement is to make it more complex.

• The negation of a statement is to affirm its truth.

• The negation of a statement is to provide additional information.

What is the conclusion in a conditional statement?

• The part of the conditional statement that follows 'then'.

• The part of the conditional statement that follows 'if'.

• The initial assumption made in the statement.

• The overall outcome of the statement.

What is the relationship between a conditional statement and its contrapositive?

• A conditional statement and its contrapositive are logically equivalent, meaning if one is true, the other is also true.

• A conditional statement and its contrapositive are always different and never related.

• A conditional statement is the opposite of its contrapositive.

• A conditional statement and its contrapositive can be true at different times.

What is the hypothesis in a conditional statement?

• The part of the conditional statement after 'if'.

• The part of the conditional statement before 'if'.

• The conclusion of the conditional statement.

• The entire conditional statement.

What is the contrapositive of a conditional statement?

• Switch AND Negate the hypothesis and the conclusion

• Switch the hypothesis and conclusion without negation

• Negate the hypothesis and keep the conclusion

• Keep the hypothesis and negate the conclusion