Name _______________________________________ Date __________________ Class __________________
MODULE
17
Revu - Transformations and Congruence
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 I
C III
B II
D IV
A
C
B
D
2. The quadrilateral shown is reflected
across the y-axis. In which quadrant is
the image of the quadrilateral located?
A I
C III
B II
D IV
7. An irregular pentagon is rotated 180
about the origin. Which of the following
statements is not true?
3. The quadrilateral shown is rotated
90 clockwise about the origin. In which
quadrant is the image of the quadrilateral
located?
A I
C III
B II
D IV
A The new pentagon is the same size
as the original pentagon.
B The new pentagon is the same
shape as the original pentagon.
C The new pentagon is in the same
orientation 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?
D The x-coordinates of the new pentagon
are the same as the
x-coordinates of the original pentagon.
8. Figure A is a parallelogram. It is
translated 2 units to the right and 1 unit
down and then rotated 90 degrees
clockwise about origin. Which of the
following is not true about its image A′?
A (2, 2), (0, 1), (0, 5), (2, 4)
B (2, 2), (0, 1), (0, 5), (2, 4)
C (1, 2), (3, 1), (3, 5), (1, 4)
A A′ is the same shape as A.
D (1, 0), (3, 1), (0, 5), (1, 4)
B A′ has the same orientation as A.
C A′ is a parallelogram
D A′ is the same size as A.
17
Name _______________________________________ Date __________________ Class __________________
MODULE
17
Transformations and Congruence
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 4 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

_______________________________________
80
Name _______________________________________ Date __________________ Class __________________
MODULE 17 Revu Transformations and
Congruence
1. D
2. A
3. A
4. B
5. B
6. C
7. D
8. B
9. Quadrant III
10. Quadrant IV
11. Quadrant II
12. They are all congruent to the original
triangle.
13.
13
, 2.3, 11
3
14. (2, 0), (5, 0), (5, 2)
15.
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.
1720
Name _______________________________________ Date __________________ Class __________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
242