Converse, Contrapositive, and Inverse Statements Review Warm-Up

Front

What is the definition of a converse statement?

Back

The converse of a conditional statement is formed by switching the hypothesis and conclusion.

Front

What is the definition of a contrapositive statement?

Back

The contrapositive of a conditional statement is formed by negating both the hypothesis and conclusion and then switching them.

Front

What is the definition of an inverse statement?

Back

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion without switching them.

Front

If the original statement is 'If it rains, then the ground is wet', what is the converse?

Back

The converse is 'If the ground is wet, then it rains.'

Front

If the original statement is 'If it rains, then the ground is wet', what is the inverse?

Back

The inverse is 'If it does not rain, then the ground is not wet.'

Front

If the original statement is 'If it rains, then the ground is wet', what is the contrapositive?

Back

The contrapositive is 'If the ground is not wet, then it does not rain.'

Front

What is the hypothesis in the statement 'If you study hard, then you will pass the exam'?

Back

The hypothesis is 'You study hard.'

Front

What is the conclusion in the statement 'If you study hard, then you will pass the exam'?

Back

The conclusion is 'You will pass the exam.'

Front

How do you form the contrapositive of a statement?

Back

To form the contrapositive, switch and negate both the hypothesis and conclusion.

Front

What is the relationship between a statement and its contrapositive?

Back

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