Name
2-2
Class
Practice
Date
Form G
Conditional Statements
Worth: Math Investigation- 20 Points
Due Date: Thursday November 3
Write each sentence as a conditional. (5 Points)
1. You can go to the movies after you do your homework.
2. Rugby is a team sport.
3. Two complementary angles form a right angle.
4. A catfish is a fish that has no scales.
Identify the hypothesis and conclusion of each conditional. Determine if the conditional is
true or false. If it is false, find a counterexample. (5 Points)
5. If a number is divisible by 2, then the number is even.
6. If the sidewalks are wet, then it has been raining.
7. The dog will bark if a stranger walks by the house.
8. If the figure has four congruent angles, then the figure is a square.
9. If an animal barks, then it is a seal.
Name
Class
2-2
Date
Practice (Continued)
Form G
Conditional Statements
F
Write the biconditional, converse, inverse, and contrapositive of the given
conditional statement. Is each statement true? If a statement is false, give a
counterexample. (5 Points)
10. If the figure has four congruent angles, then the figure is a square.
Converse:
Inverse:
Contrapositive:
Biconditional:
11. If I live in Verona, then I live in New Jersey.
Converse:
Inverse:
Contrapositive:
Biconditional:
12. Select the phrase that makes the conclusion true. Explain your reasoning. (2
points)
a. A person needs a library card to check out books at the public library. You
checked out a book at the public library. You (must have, may have, or do not
have) a library card.
b. The islands of Hawaii are volcanoes. Bob has never been to the Hawaiian
Islands. Bob (has visited, may have visited, or has never visited) volcanoes.
13. Multiple Representations Use the definitions of p, q, and r to write each
conditional statement below in symbolic form. (3 points)
p: The weather is rainy.
q: The sky is cloudy.
a. If the weather is not rainy, then the sky is not cloudy.
b. If the ground is wet, then the weather is rainy.
c. If the sky is not cloudy, then the ground is wet.
r: The ground is wet.