Logic

Front

What is the converse of a statement?

Back

The converse of a statement 'If P, then Q' is 'If Q, then P.'

Front

What is the inverse of a statement?

Back

The inverse of a statement 'If P, then Q' is 'If not P, then not Q.'

Front

What is the contrapositive of a statement?

Back

The contrapositive of a statement 'If P, then Q' is 'If not Q, then not P.'

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 does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

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.'

Front

What is a logical negation?

Back

The logical negation of a statement is the opposite of the statement's truth value.

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth values of logical expressions based on their variables.

Front

What is a tautology?

Back

A tautology is a statement that is always true, regardless of the truth values of its components.