Conditional Statements

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis and a conclusion, typically expressed in the form 'If P, then Q'.

Front

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

Back

The hypothesis is 'It rains.'

Front

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

Back

The conclusion is 'The ground is wet.'

Front

What is a biconditional statement?

Back

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

Front

What is the contrapositive of the statement: 'If P, then Q'?

Back

The contrapositive is 'If not Q, then not P.'

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

Front

Provide a counterexample for the statement: 'All birds can fly.'

Back

An ostrich is a counterexample because it is a bird that cannot fly.

Front

What is the converse of the statement: 'If P, then Q'?

Back

The converse is 'If Q, then P.'

Front

What is the inverse of the statement: 'If P, then Q'?

Back

The inverse is 'If not P, then not Q.'

Front

In the statement 'If angles are congruent, then the measures of the angles are equal,' what are the angles called?

Back

The angles are called 'congruent angles.'