Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form "If P, then Q."

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."

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."

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."

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, written as "P if and only if Q" (P iff Q).

Front

Identify the hypothesis and conclusion in the statement: 'If it rains, then the ground is wet.'

Back

Hypothesis: It rains; Conclusion: The ground is wet.

Front

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

Back

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

Front

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

Back

A conditional statement and its converse are not necessarily equivalent; one can be true while the other is false.

Front

Provide an example of a conditional statement.

Back

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

Front

Provide an example of a converse statement.

Back

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