Conditional Statements

Conditional Statement Practice

For the following conditional statement write it's converse, inverse and contrapositive and state the truth value for each.

Converse

What is the converse to the following conditional statement? [br][br]If there is lightning, then practice is canceled.

If practice is canceled, then there is lightning. If practice is not canceled, there there is not lightning. If there is not lightening, then practice is not canceled.

Is it True or False?

What is the truth value for the converse?

False True

Inverse

What is the inverse of the conditional statement?[br][br]If two lines are parallel, then the alternate interior angles are congruent.

If the alternate interior angles are congruent, then the two lines are not parallel. If the alternate interior angles are not congruent, then the lines are not parallel. If two lines are not parallel, then the alternate interior angles are not congruent.

Contrapositive

What is the contrapositive of the conditional statement?[br][br]If the sum of the angles of a polygon is 540 degrees, then it is a pentagon.

The sum of the angles of a polygon is 540 degrees if and only if it is a pentagon. If the sum of the angles in a polygon is not 540 degrees, then it is not a pentagon. If the polygon is not a pentagon, then the sum of its angles is not 540 degrees.