Conditional, Converse, Inverse, Contrapositive Biconditional

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'P if and only if Q', meaning both P and Q are true or both are false.

Front

Define congruent angles as a biconditional statement.

Back

Angles are congruent if and only if they have the same size and shape.

Front

What is a conditional statement?

Back

A conditional statement is an 'if-then' statement that expresses a relationship between two propositions, typically written as '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 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 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

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

Back

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

Front

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

Back

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

Front

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

Back

The contrapositive is '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.