Skills Practice Workbook - Glencoe

1–4
NAME DATE PERIOD
Skills Practice
Conditional Statements and Their Converses
Identify the hypothesis and the conclusion of each statement.
1. If you purchase a computer and do not like it, then you can return it within 30 days.
Hypothesis—you purchase a computer and do not like it
Conclusion—you can return it within 30 days
2. If x � 8 � 15, then x � 7
Hypothesis—x � 8 � 15
Conclusion—x � 7
3. If the drama club raises $2000, then they will go on tour.
Hypothesis—the drama club raises $2000
Conclusion—they will go on tour
4. If the temperature today is 80° or more, then you will go swimming.
Hypothesis—the temperature today is 80° or more
Conclusion—you will go swimming
5. If two lines intersect, then the intersection is a point.
Hypothesis—two lines intersect
Conclusion—the intersection is a point
Write two other forms of each statement.
6. If two planes intersect, then the intersection is a line.
The intersection of two planes is a line. All planes that intersect will
intersect in a line.
7. If it snows, then you will go sledding.
You will go sledding if it snows. All people will go sledding on days
that it snows.
8. Your dog will be happy if you feed him Doggy Chow.
If you feed your dog Doggy Chow, then he will be happy. All dogs that
eat Doggy Chow are happy.
9. Hiking will be easier if you have hiking boots.
If you have hiking boots, then hiking will be easier. All people with
hiking boots can hike easier.
10. All squares have four sides of equal length and four right angles..
If a figure has four sides of equal length and four right angles, then it
is a square. A figure is a square if it has four sides of equal length
and four right angles.
Write the converse of each statement.
11. If a figure is a triangle, then it has three sides.
If a figure has three sides, then it is a triangle.
12. If you find a penny, then you will have good luck.
If you have good luck, then you found a penny.
13. If you ride your bicycle recklessly, then you can get hurt.
If you get hurt, then you rode your bicycle recklessly.
14. If two distinct lines intersect, then their intersection is one point.
If the intersection of two lines is one point, then the lines are distinct.
15. If your cat purrs, then it is contented.
If your cat is contented, then it purrs.
© Glencoe/McGraw-Hill 4 Geometry: Concepts and Applications