Download Chapter 3 Practice Tests B and C

Name _________________________________________
CHAPTER
3
Date ____________________
Chapter Test B
For use after the chapter “Parallel and Perpendicular Lines”
Identify the pairs of angles as corresponding, alternate
interior, alternate exterior, consecutive interior, or
vertical angles.
1.  1 and  8
2.  4 and  5
Answers
1. _____________
_____________
2. _____________
3.  4 and  6
4.  2 and  3
_____________
5.  3 and  7
3. _____________
6.  2 and  7
_____________
4. _____________
Find the value of x.
7.
_____________
8.
5. _____________
_____________
6. _____________
_____________
10.
7. _____________
8. _____________
9. _____________
Find the value of x that makes m n .
11.
12.
10. _____________
11. _____________
12. _____________
13. _____________
14. _____________
Tell whether the lines through the given points are parallel,
perpendicular, or neither.
13. Line 1: (1, 2), (2, 0)
Line 2: (0, –1), (–2, –2)
16. _____________
14. Line 1: (–2, 1), (1, –1)
Line 2: (1, 3), (4, 1)
15. Line 1: (0, 1), (1, 4)
16. Line 1: (–1, 1), (1, 3)
Line 2: (3, 2), (6, 3)
Line 2: (2, –1), (4, 1)
Geometry
Assessment Book
15. _____________
16. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
9.
Name _________________________________________
CHAPTER
3
Chapter Test B
continued
For use after the chapter “Parallel and Perpendicular Lines”
Graph the equation.
17. y = –
Date ____________________
1
x–1
4
Answers
18. y =
3
1
x+
2
2
17. _____________
18. _____________
19. _____________
20. _____________
21 _____________
22. _____________
Write an equation of the line that passes through point P and
is parallel to the line with the given equation.
19. P(–1, 3), y = 4x – 2
20. P(2, 4), y = –3x
23. _____________
_____________
_____________
Write an equation of the line that passes through point P and
is perpendicular to the line with the given equation.
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
21. P(0, 2), y =
1
x+1
2
22. P(4, 3), y = –x
_____________
_____________
_____________
23. The graph models the total cost of
renting a bike. Write an equation of
the line. Explain the meaning of the
slope and the y-intercept of the line.
24. _____________
25. _____________
In the diagram, AB  BC . Find the value of x.
24.
25.
Geometry
Assessment Book
Name _________________________________________
CHAPTER
3
Date ____________________
Chapter Test C
For use after the chapter “Parallel and Perpendicular Lines”
Identify the pairs of angles as corresponding, alternate
interior, alternate exterior, consecutive interior, or
vertical angles.
1.  1 and  4
Answers
1. _____________
_____________
2.  3 and  5
3.  3 and  6
2. _____________
4.  1 and  8
_____________
5.  2 and  3
3. _____________
6.  4 and  8
_____________
Find the values of x and y.
7.
4. _____________
8.
_____________
5. _____________
_____________
6. _____________
Complete the proof.
7. _____________
_____________
8. _____________
_____________
Statements
9.  FCD   BCA
Reasons
__________________
9. _____________
10. __________________
Definition of Congruent Angles
10. _____________
11. m  BCA = 78°
__________________
11. _____________
12. m  FCD = 78°
__________________
12. _____________
13. __________________
Given
14. 78° + 102° = 180°
__________________
15. m  FCD + m  CFG = 180°
__________________
14. _____________
16. __________________
Definition of Supplementary
15. _____________
17. m || n
__________________
16. _____________
Geometry
Assessment Book
13. _____________
17. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
_____________
GIVEN: m  BCA = 78°
m  CFG = 102°
PROVE: m || n
Name _________________________________________
CHAPTER
3
Date ____________________
Chapter Test C
continued
For use after the chapter “Parallel and Perpendicular Lines”
Write an equation of the line that passes through point P and
is parallel to the line with the given equation.
1
18. P(3, 3), y = – x + 3
2
1
19. P(–2, 1), y = x – 1
3
Write an equation of the line that passes through point P and
is perpendicular to the line with the given equation.
20. P(6, 2), y = 3x + 3
21. P(–3, 0), y = 2x – 4
18. _____________
19. _____________
20. _____________
21. _____________
22. _____________
Graph the equation.
22. –3x + y = 6
Answers
23. 2y + 4x = 10
23. _____________
24. _____________
25. _____________
26. _____________
27. _____________
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
24.
3
x + 2y = 8
2
25. –4x + 8y = 12
Use the Distance Formula to find the exact distance between
the two parallel lines.
26.
27.
Geometry
Assessment Book
Answers for Parallel and Perpendicular Lines
Chapter Test B
1. alternate exterior 2. alternate interior
3. consecutive interior 4. vertical
5. corresponding 6. alternate exterior 7. 53
8. 60 9. 30 10. 65 11. 24 12. 174
13. perpendicular 14. parallel 15. neither
16. parallel
17.
18.
19. y = 4x + 7 20. y = –3x + 10
21. y = –2x + 2 22. y = x – 1
23. y = 2.5x + 10; slope is the cost per hour;
y-intercept is the initial cost to rent a bike
24. 7 25. 24
Chapter Test C
1. vertical 2. consecutive interior 3. alternate
interior 4. alternate exterior 5. vertical
6. corresponding 7. x = 8; y = 30 8. x = 23;
y = 46 9. Vertical Angles Congruence Theorem
10. m  FCD = m  BCA 11. Given
12. Transitive Property of Equality
13. m  CFG = 102° 14. Addition
15. Substitution Property of Equality
16.  FCD and  CFG are supplementary.
17. Consecutive Interior Angles Converse
1
1
1
2
18. y = – x  4
19. y = x  1
2
2
3
3
1
1
1
20. y = – x + 4
21. y = – x –1
3
2
2
22.
23.
24.
26.
25.
5 27. 2 10