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Name
2-2
Class
Date
Practice
Form G
Conditional Statements
Identify the hypothesis and conclusion of each conditional.
1. If a number is divisible by 2, then the number is even.
2. If the sidewalks are wet, then it has been raining.
3. The dog will bark if a stranger walks by the house.
4. If a triangle has three congruent angles, then the triangle is equilateral.
Write each sentence as a conditional.
5. A regular pentagon has exactly five congruent sides.
6. All uranium is radioactive.
7. Two complementary angles form a right angle.
8. A catfish is a fish that has no scales.
Write a conditional statement that each Venn diagram illustrates.
9.
10.
Determine if the conditional is true or false. If it is false, find a counterexample.
11. If the figure has four congruent angles, then the figure is a square.
12. If an animal barks, then it is a seal.
Pearson Texas Geometry
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Name
Class
2-2
Date
Practice (Continued)
Form G
Write the converse, inverse, and contrapositive of the given conditional statement. Determine
the truth value of all three statements. If a statement is false, give a counterexample.
13. Conditional
Statement: If two angles are complementary, then their measures sum to 90.
Hint: (Inverse: Put “not” in both the hypothesis and conclusion.)
Inverse:
TRUE
FALSE
Counterexample:
Hint: (Converse: Exchange the hypothesis and conclusion.)
Converse:
TRUE
Hint: (Contrapositive: Put “not” in both the hypothesis and
conclusion AND exchange the hypothesis and conclusion.)
Contrapositive:
TRUE
14. Conditional
Inverse:
FALSE
Counterexample:
FALSE
Counterexample:
Statement: If the temperature outside is below freezing, then ice can form on the sidewalks.
TRUE
FALSE
Counterexample:
Converse:
TRUE
FALSE
Counterexample:
Contrapositive:
TRUE
FALSE
Counterexample:
15. Conditional
Inverse:
Statement: If a figure is a rectangle, then it has exactly four sides.
TRUE
FALSE
Counterexample:
Converse:
TRUE
FALSE
Counterexample:
Contrapositive:
TRUE
FALSE
Counterexample:
Draw a Venn diagram to illustrate each statement.
16. If a figure is a square, then it is a rectangle.
17. If the game is rugby, then the game is a team sport.
18*. Open-Ended Write a conditional statement that is false and has a true
converse. Then write the converse, inverse, and contrapositive. Determine the truth values for each
statement.
19. Multiple Representations Use the definitions of p, q, and r to write each conditional statement
below in symbolic form.
p: The weather is rainy.
q: The sky is cloudy.
r: The ground is wet.
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.
Review Questions for Quiz
Find a pattern for each sequence. Use inductive reasoning to show the next two terms.
20. 3, 5, 9, 17, …
21. 1, 4, 6, 24, 26, …
Use the sequence and inductive reasoning to make a conjecture.
22. How many sides does the fifth figure of Sequence A have?
23. How many sides does the tenth figure of Sequence A have?
Use inductive reasoning to make a prediction for each scenario.
24. A farmer keeps track of the water his livestock uses
each month.
a. Predict the amount of water used in August.
b. Is it reasonable to use the graph to predict water
consumption for October? Explain.