Page 183 - Math Course 2 (Book 2)

Conditional Statements

Skill Practice!

Identify the hypothesis and conclusion of each statement.

1. If you purchase a computer and do not like it, then you can return it within 30 days.

2. If x + 8 = 4, then x = –4.

3. If the drama class raises $2000, then they will go on tour.

Write each statement in if-then form.
4. A polygon with four sides is a quadrilateral.

5. “Those who stand for nothing fall for anything.” (Alexander Hamilton)

6. An acute angle has a measure less than 90.

Determine the truth value of the following statement for each set of conditions. If you finish your homework
by 5 P.M., then you go out to dinner.

7. You finish your homework by 5 P.M. and you go out to dinner.

8. You finish your homework by 4 P.M. and you go out to dinner.

9. You finish your homework by 5 P.M. and you do not go out to dinner.

10. Write the converse, inverse, and contrapositive of the conditional statement. Determine whether each
statement is true or false. If a statement is false, find a counterexample.

If 89 is divisible by 2, then 89 is an even number.

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