GeometryName:
2.1-2.3, 5.4ReviewDate: ______
Identify the hypothesis and conclusion of each conditional statement.
1. If the sun is out and I am outside, then I wear my sunglasses.
Hypothesis:
Conclusion:
2. If I walk into a movie theater, then I smell popcorn.
Hypothesis:
Conclusion:
3. If x = 3, then 2x + 5 = 11.
Hypothesis:
Conclusion:
Write each statement as a conditional.
4.Rainbow trout are colorful fish.
If, then .
5.Triangles have three sides.
If , then .
6.Maple trees lose their leaves in autumn.
If , then .
For #s 7-10, use this conditional statement:
If it is St. Patrick’s Day, then people wear green.
7. Write the converse of the statement.
8. Write the inverse of the statement.
9. Write the contrapositive of the statement.
10. Find a counterexample to show that the converse is NOT true.
For #s 11-14, use this conditional statement:
If an integer ends with 5, then the integer is divisible by 10.
11. Write the converse of the statement.
12. Write the inverse of the statement.
13. Write the contrapositive of the statement.
14. Find a counterexample to show that the converse is NOT true.
Write the two conditionals that make up each biconditional.
15.Segments are congruent if and only if they have the same length.
16.An angle is an obtuse angle if and only if its measure is between 90 and 180.
Rewrite each definition as a biconditional.
17.A right angle is an angle whose measure is 90 degrees.
18.The negation of a statement has the opposite meaning of the original statement.
Use the Law of Detachment or the Law of Syllogism to draw a conclusion from each pair of statements.
19. If a student has a full schedule, then that student has no off periods.
Cynthia has a full schedule.
20. If Jeff stays after school for play practice, then he will learn his lines for the school play.
If Jeff learns his lines for the school play, then he will be prepared for the performance.
Jeff stays after school for play practice.
21. If Cameron raises $500, then he can go to WashingtonD.C. over spring break.
Cameron raises $500.
22. If Shauna is early for her meeting, she will gain a promotion. If Shauna wakes up early,
she will be early for her meeting. Shauna wakes up early.