Geometry - Truth Tables & Conditional Statements

Front

What is a conditional statement?

Back

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

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

What does the symbol ∧ represent in logic?

Back

The symbol ∧ represents 'and' in logic.

Front

What does the symbol ∨ represent in logic?

Back

The symbol ∨ represents 'or' in logic.

Front

What does the symbol ¬ represent in logic?

Back

The symbol ¬ represents 'not' in logic.

Front

How do you form the inverse of a statement?

Back

To form the inverse, you negate both the hypothesis and the conclusion of the original statement.

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 inputs.

Front

What is the purpose of a truth table?

Back

The purpose of a truth table is to systematically explore all possible truth values of logical statements and their combinations.