WS #3 – Conditionals



GPS Geometry Worksheet 4-3 Name______________________

Conditional Statements

Part 1. Write the Converse, inverse, and contrapositive for each conditional statement.

1. If it is the weekend, then there is no school.

Converse: ________If there is no school then it is the weekend. ____________________

Inverse: ___________If it is not the weekend, then there is school. ______________

Contrapositive: __________If there is school, then it is not the weekend. _____________

2. If it is raining outside, then there is no football practice.

Converse: ______________________________________________________

Inverse: _____________________________________________________

Contrapositive: _________________________________________________________

Part 2. Identify the hypothesis (underline) and conclusion (circle) of each statement.

Then write the (a.) converse, (b.) inverse and (c.) contrapositive of each statement.

3. If it rains, then I bring my umbrella.

Converse: ________If I bring my umbrella, then it will rain. ____________________

Inverse: ___________If it is not raining, then I don’t bring my umbrella. ______________

Contrapositive: __________If I don’t bring my umbrella, then it is not raining. __________

4. If it is Saturday, then I go to the movies.

Contrapositive: _____________________________________________________

Inverse: _________________________________________________________

Converse: _____________________________________________________

5. If it is hot, then I will go swimming.

Converse: ________If I go swimming, then it is hot. ____________________

Inverse: ___________If it is not hot, then I will not go swimming. _____________

Contrapositive: __________If I do not go swimming, then it is not hot. _________

6. If it is a birthday party, then I will buy a gift.

Inverse: _____________________________________________________

Contrapositive: _________________________________________________________

Converse: _____________________________________________________________

Part 3. Write the conditional statement in if-then form, then follow the directions to either write the converse, inverse, or contrapositive.

7. When I floss regularly, my gums are healthier.

If-Then Form: ________If I floss regularly, then my gums are healthier. ______________

Inverse: ___________If I don’t floss regularly, then my gums are not healthier. ________

Converse: __________If my gums are healthier, then I floss regularly. _________

8. We are in the state finals if we win tomorrow.

If-Then Form: _____________________________________________________

Contrapositive: ______________________________________________________

Inverse: _____________________________________________________

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download