Conditional, Converse, Inverse, Contrapostive

Front

What is the if-then-form of the statement: 'It is time for dinner if it is 6 pm.'?

Back

If it is 6pm, then it is time for dinner.

Front

Identify the contrapositive of the statement: 'If angles are congruent, then the measures of the angles are equal.'

Back

If the measures of the angles are not equal, then the angles are not congruent.

Front

When taking the converse, we ___________ the hypothesis and conclusion.

Back

switch

Front

What is the definition of a Conditional statement?

Back

A statement that can be written in the form 'If P, then Q'.

Front

What is the definition of a Converse statement?

Back

A statement formed by switching the hypothesis and conclusion of a conditional statement.

Front

What is the definition of an Inverse statement?

Back

A statement formed by negating both the hypothesis and conclusion of a conditional statement.

Front

What is the definition of a Contrapositive statement?

Back

A statement formed by negating and switching the hypothesis and conclusion of a conditional statement.

Front

If the statement is 'If it rains, then the ground is wet', what is the Inverse?

Back

If it does not rain, then the ground is not wet.

Front

If the statement is 'If it rains, then the ground is wet', what is the Contrapositive?

Back

If the ground is not wet, then it does not rain.

Front

What is the converse of the statement: 'If a shape is a square, then it has four sides.'?

Back

If a shape has four sides, then it is a square.