Download Practice Tests A and C.

Name _________________________________________
CHAPTER
2
Date ____________________
Chapter Test A
For use after the chapter “Reasoning and Proof”
1. Sketch the fourth figure in the pattern below.
Answers
1. _____________
2. _____________
3. _____________
2. Write the next three numbers in the pattern.
2, 4, 8, 16, . . .
Find a counterexample to disprove the conjecture.
3. All intersecting lines form right angles.
4. _____________
5. _____________
10. _____________
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4. All quadrilaterals are equilateral.
5. All triangles are regular.
Skipped #6-9
10. Rewrite the definition as two statements.
Collinear points are points that lie on the same line.
Use the Law of Detachment or the Law of Syllogism to make
a valid conclusion in the situation.
11. If you save $30, you can buy a CD player. You have saved $30.
12. If 6x = 30, then x = 5. If x = 5, then 2x = 10.
Select the word(s) that make(s) the conclusion true.
13. The Empire State Building is in New York City. Sam vacationed in
New York City. So, Sam (must have, may have, or never) visited the
Empire State Building.
14. Some tourist sites in New York City are accessible when
accompanied by a tour guide. So, Sam (is, may be, or is not)
visiting tourist sites in New York City with a tour guide.
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11. _____________
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12. _____________
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13. _____________
14. _____________
Geometry
Assessment Book
Name _________________________________________
CHAPTER
2
Date ____________________
Chapter Test A
continued
For use after the chapter “Reasoning and Proof”
Solve the equation and write a reason for each step.
Answers
15. 8x – 21 = 11
15. _____________
Original equation
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1
16. x + 20 = –30
4
17. _____________
Original equation
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17. –3x + 15 = 30
Original equation
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Skipped #18-23
Geometry
Assessment Book
16. _____________
Name _________________________________________ Date
____________________
CHAPTER
2
CHAPTER
2
Chapter Test C
For use after the chapter “Reasoning and Proof”
1. Sketch the fourth figure in the pattern below.
Answers
1. _____________
2. _____________
3. _____________
2. Write the next three numbers in the pattern.
0, 1, 4, 9, . . .
3. The graph displays data about student lunches
from a high school. Is the conjecture
“More juniors pack their lunch than
sophomores.” valid? Explain your answer.
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4. _____________
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5. _____________
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8. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
_____________
Write the if-then form, the converse, the inverse, and the
contrapositive of the statement “A poet is a writer.”
4. If-then form
5. Converse
SKIPPED #6-7
8. Rewrite the definition as a biconditional.
In an equilateral polygon, all sides are congruent.
What conclusions can you make using the true statement?
9. The company will increase production if the demand for a
product increases. Tony will work more hours if the company
increases production.
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9. _____________
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10. _____________
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11. _____________
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10. The Rock and Roll Hall of Fame is located in Cleveland, Ohio.
Ian has never been in Illinois, Indiana, or Ohio.
11. Fill in the statement so that the conclusion is valid.
The Eiffel Tower is in Paris, France.
?
So, Charlotte may have seen the Eiffel Tower.
Geometry
Assessment Book
Name _________________________________________
CHAPTER
2
Date ____________________
Chapter Test C
continued
For use after the chapter “Reasoning and Proof”
Solve the equation and write a reason for each step.
Answers
12. 4(x - 2) + 6 = 10
12. _____________
Original equation
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Subtraction Property of Equality
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13. 2(x + 1) + 3(x – 5) = 6
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Original equation
__________________________
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Combine like terms.
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__________________________
SKIPPED #14-23
Geometry
Assessment Book
13. _____________
Answers for Reasoning and Proof
Chapter Test A
1.
2. 32, 64, 128
3.
4. Sample answer: 5. Sample answer:
6. B 7. D 8. C
9. A 10. If points are collinear, then they lie on
the same line. If points lie on the same line, then
they are collinear. 11. You can buy a CD player.
12. If 6x = 30, then 2x = 10.
13. may have 14. may be
15. 8x = 32; Addition Property of Equality
x = 4; Division Property of Equality
1
16. x = –50; Subtraction Property of Equality
4
x = –200; Multiplication Property of Equality
17. –3x = 15; Subtraction Property of Equality
x = –5; Division Property of Equality
18. Congruent Supplements Theorem; Vertical
Angles Congruence Theorem 19. Given
20. Definition of right angle 21. Given
22. Definition of angle bisector 23. Simplify.
Chapter Test C
1.
2. 16, 25, 36
3. No; The graph does not distinguish between
different grade levels. 4. If a person is a poet,
then he is a writer. 5. If a person is a writer, then
he is a poet. 6. If a person is not a poet, then he
is not a writer. 7. If a person is not a writer, then
he is not a poet. 8. A polygon is equilateral if and
only if all of its sides are congruent. 9. Tony will
work more hours if the demand for a product
increases. 10. Ian has never been to the Rock and
Roll Hall of Fame. 11. Charlotte has vacationed
in France.
12. 4(x – 2) = 4
4x – 8 = 4; Distributive Property
4x = 12; Addition Property of Equality
x = 3; Division Property of Equality
13. 2x + 1 + 3x – 15 = 6; Distributive Property
5x – 14 = 6
5x = 20; Addition Property of Equality
x = 4; Division Property of Equality
14. Segment Addition Postulate 15. Given
16. AC = 10 + 3 17. AC = 13 18. Given
19. Definition of Congruent Segments
20. Substitution Property of Equality
21. EG = EF + FG 22. Substitution Property of
Equality 23. Subtraction Property of Equality