Geo 2.2 Contrapositive

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, typically in the form 'If P, then 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'. It is logically equivalent to the original statement.

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'. It is not logically equivalent to the original statement.

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'. It is not logically equivalent to the original statement.

Front

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

Back

The conclusion is 'the ground is wet'.

Front

Identify the hypothesis in the statement: 'If I study, then I will do well on the quiz.'

Back

The hypothesis is 'I study'.

Front

What is a linear pair of angles?

Back

A linear pair of angles are two adjacent angles that form a straight line, meaning their measures add up to 180 degrees.

Front

If the statement is 'If I have a black lab, then I have a dog', what is the contrapositive?

Back

The contrapositive is 'If I do not have a dog, then I do not have a black lab'.

Front

What does it mean if two angles are complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What does it mean if two angles are supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.