Conditional, Converse, Inverse, Contrapositive

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition (hypothesis) implies the second (conclusion).

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be true for the conclusion to follow.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the result or outcome that follows from the hypothesis.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p'. It switches the hypothesis and conclusion.

Front

What is the inverse of a conditional statement?

Back

The inverse of a conditional statement 'If p, then q' is 'If not p, then not q'. It negates both the hypothesis and conclusion.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'. It switches and negates both the hypothesis and conclusion.

Front

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

Back

If the ground is wet, then it rains.

Front

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

Back

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

Front

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

Back

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

Front

What is an example of a conditional statement?

Back

If a shape is a square, then it has four equal sides.