Name ________________________________________ Date __________________ Class __________________
MODULE
19
Transformations and Congruence
Module Quiz: B
Use the diagram for 1−3.
5. Which number is between
6
and
2
A 1
C 3
B 2
D 4
8?
6. What would be the orientation of the figure
below after a reflection across the x-axis?
1. The quadrilateral shown is translated
7 units to the right and 5 units down.
In which quadrant is the image of the
quadrilateral located?
________________________________________
A
C
B
D
2. The quadrilateral shown is reflected
across the y-axis. In which quadrant is
the image of the quadrilateral located?
7. An irregular pentagon is rotated 180°
about the origin. Choose True or False
for each statement.
________________________________________
3. The quadrilateral shown is rotated
90° clockwise about the origin. In which
quadrant is the image of the quadrilateral
located?
A The new pentagon is the same size
as the original pentagon.
True
False
B The new pentagon is the same shape
as the original pentagon.
________________________________________
4. The vertices of a trapezoid are located at
(1, −2), (3, −1), (3, −5), and (1, −4). The
trapezoid is translated 3 units to the left
and rotated 180° about the origin. What
are the coordinates of its image?
True
False
C The new pentagon is in the same
orientation as the original pentagon.
True
False
8. A parallelogram is translated 2 units to
the right and 1 unit down and then rotated
90 degrees clockwise about the origin.
Choose True or False for each statement
about the image compared to the original.
________________________________________
A same shape
True
False
B same orientation
True
False
C same size
True
False
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87
Name ________________________________________ Date __________________ Class __________________
MODULE
19
Transformations and Congruence
Module Quiz: B
14. A triangle has vertices at (−2, −2),
(−2, −5), and (−4, −5). The triangle is
translated 2 units to the right and rotated
90° clockwise about the origin. What are
the coordinates of its image?
Use the diagram for 9−11.
_________________________________
15. Draw the orientation of the figure below
after a reflection across the y-axis.
9. The triangle shown is translated 6 units to
the left and 6 units down. In which
quadrant is the image of the triangle
located?
________________________________________
________________________________________
16. A trapezoid has been rotated 90°
clockwise about the origin. Is it true that
the y-coordinates of the new trapezoid
are the same as the y-coordinates of the
original trapezoid? Explain.
10. The triangle shown is reflected across the
x-axis. In which quadrant is the image of
the triangle located?
________________________________________
________________________________________
11. The triangle shown is rotated 90°
counterclockwise about the origin. In
which quadrant is the image of the
triangle located?
17. A parallelogram has vertices at (4, 4),
(7, 4), (5, 2), and (2, 2). The
parallelogram is translated 7 units down
and reflected across the y-axis. What are
the coordinates of its image?
________________________________________
12. How can you describe all the images of
the triangle in Exercises 9–11?
________________________________________
18. The measures of the three angles of a
triangle are given by 2x + 6, x, and 3x.
What is the measure of the largest angle?
________________________________________
13. Order the numbers below from least to
greatest.
2.3,
13
,
3
________________________________________
11
________________________________________
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88
12. 2, −3
14. x = 8
3
15. 2.5x + 7.7 = 4.7x; 3.5 mph
13. Sample answer:
x
0
1
2
3
y
−3
−2
−1
0
16. 0.1(x + 250) = 5,000; $49,750
17. x = 156
23
12. and 13.
18. zero solutions
19. 16
20. 1.5 ×107
Module Quiz 18: D
1. A
2. B
3. C
4. A
5. B
6. B
14. line B; It is a straight line passing through
(0, 0).
7. C
8. C
15. y = 250 − 25x; y = 30x + 30
9. A
16. No, neither line goes through origin.
10. 3x − 5 = 2x; x = 5
17. >
11. 15 + 2x; 7 years
12. rational
MODULE 18 Solving Linear
Equations
13. x = −14
14. x = 4; 4 mph
Module Quiz 18: B
15. x = 49,750; $49,750
1. 75 + 50x = 25 + 70x
16. x = 12
2. 2.5 h
17. 16
3. A No B Yes C No D Yes
18. 1 × 106
4. −13.2
MODULE 19 Transformations
and Congruence
5. in 20 weeks
6. 0.2(x + 15) = 6
7. $20,000
Module Quiz 19: B
8. 20
1. Quadrant IV
2. Quadrant I
3. Quadrant I
4. (2, 2), (0, 1), (0, 5), (2, 4)
5. B
6. C
7. A True B True C False
8. A True B False C True
9. Quadrant III
9. A No B Yes C Yes D No
10. 2.35 × 1011
11. 4x + 3 = 5 + x; x = 2
3
12. 500 − 30x = 150 + 20x; 7 years
13. 0.33 is a rational number because it can
be written as a ratio of two integers, 1 .
3
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242
MODULE 20 Transformations
and Similarity
10. Quadrant IV
11. Quadrant II
12. They are all congruent to the original
triangle.
13.
Module Quiz 20: B
1. A False B True
13
, 2.3, 11
3
2. A False B True C False
3. m > 21
14. (−2, 0), (−5, 0), (−5, 2)
4. (x, y) → (2x, 2y)
15.
5. (3.5, 14), (24.5, 10.5), (10.5, −17.5),
(28, −14)
6. A'(−12, −6), B'(2, 10), C'(8, −8)
7. A False B True C False D True
1
8.
3
9.
16. Sample answer: No. To get the
coordinates of the new trapezoid,
you multiply each x-coordinate by −1,
then switch the x- and y-coordinates.
17. (−4, −3), (−7, −3), (−5, −5), and (−2, −5)
18. 87°
Module Quiz 19: D
1. A
2. C
3. A
1 1
(x, y) Æ ⎛⎜ x, y ⎞⎟
⎝2 2 ⎠
4. C
5. A
10.
6. C
7. C
8. B
9. B
6 + 3x ≤ 2x − 1
6 − 6 + 3x ≤ 2x − 1 − 6
3x ≤ 2x − 7
3x − 2x ≤ 2x − 2x − 7
x ≤ −7
11. P(P′R′S′T′) = 3 × 2 (x + y).
10. Quadrant IV
12. A(P′R′S′T′) = 3x × 3y or 9xy
11. Quadrant II
13. larger; smaller
12. Quadrant IV
Module Quiz 20: D
13. It is congruent to the original figure.
14. (4, 2), (4, 5), and (6, 5)
1. C
15. − 2, 2.5, 7
2. B
3. C
16.
4. A
5. C
6. A
7. B
17. yes
8. C
18. (−1, 1), (−1, 5), (−4, 1)
19. 44°
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243