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: _____________________________________________________
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