Truth Tables, Converse, Inverse, Contrapositive

Front

What do we do to the hypothesis and conclusion in the converse?

Back

We switch them.

Front

What is the contrapositive of the statement: 'If a polygon is a quadrilateral, then it is a trapezoid'?

Back

If a polygon is not a trapezoid, then it is not a quadrilateral.

Front

What is a disjunction in logic?

Back

A disjunction is a compound statement that uses 'or' to join two statements.

Front

Identify the hypothesis and conclusion of the statement: 'If you give me twenty dollars, then I will be your best friend.'

Back

Hypothesis: you give me twenty dollars; Conclusion: I will be your best friend.

Front

What does the symbol ∨ represent in logic?

Back

It means 'or'.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that relates a hypothesis to a conclusion.

Front

What is the inverse of a conditional statement?

Back

The inverse negates both the hypothesis and conclusion.

Front

What is the converse of a conditional statement?

Back

The converse switches the hypothesis and conclusion.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive switches and negates both the hypothesis and conclusion.

Front

If the statement is 'If A, then B', what is the inverse?

Back

If not A, then not B.