Lesson 1.6 - Conditional Statements

The ______ of a conditional statement is formed by exchanging the condition (hypothesis) and conclusion.

• inverse

• converse

• contrapositive

• multiverse

Identify the hypothesis (condition) of each conditional statement:

If a person is at least 16 years old, then the person can drive a car.

• a person is at least 16 years old

• the person can drive a car

Identify the conclusion of each conditional statement:

If a person is at least 16 years old, then the person can drive a car.

• a person is at least 16 years old

• the person can drive a car

Identify the hypothesis (condition) of each conditional statement:

A figure is a parallelogram if it is a rectangle.

• A figure is a parallelogram

• It is a rectangle

Identify the conclusion of each conditional statement:

A figure is a parallelogram if it is a rectangle.

• A figure is a parallelogram

• It is a rectangle

Determine if the conditional statement is true. If false, give a counterexample.

If x > y, then |x| > |y|.

• True

• False, -2 > -3, but |-2| < |-3|

• False, 5 > 3, and |5| > |3|

• False, -7 > -5, but |-7| > |-5|

Determine if the conditional statement is true. If false, give a counterexample.

If the season is spring, then the month is March.

• True

• False, the month could be August

• False, the month could be April

• False, the month could be February

Determine if the conditional statement is true. If false, give a counterexample.

If the month is June, then the season is summer.

• True

• False, the month could be August

• False, the month could be April

• False, the month could be February

Determine if the conditional statement is true. If false, give a counterexample.

If you subtract -2 from -6, then the result is -4.

• True

• False, the result is 4.

• False, the result is 2

• False, the result is -2

Write the converse of the following conditional statement:

If Brielle drives at exactly 30 mi/h, then she travels 10 mi in 20 min.

• If Brielle travels at 30 mi/h, then she travels in mi in 20 min.

• If Brielle travels 10 mi in 20 min, then she drives at exactly 30 mi/hr.  

• If Brielle doesn't drive at exactly 30 mi/h then she won't travel 10 mi in 20 min.