1. No category

COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
1. On this coordinate plane, ∆UVW has been
transformed to form its image ∆U''V''W''.
Which statement describes the sequence of
transformations?
A reflection across the y-axis, followed by a
translation of 2 units to the left and 9 units
down
B reflection across the x-axis, followed by a
reflection across the y-axis
C rotation of 180° about the origin, followed
by a translation of 2 units to the right and 1
unit down
D translation of 2 units to the right and 1 unit
up, followed by a rotation of 180° about the
origin
3.Graph the figure and its image under the given
translation: ∆EFG with vertices E (-2, -3),
F (-3, -2), G (-1, -1) under the translation left three
units and down two units.
4.In the figure below, determine whether the third
figure is a reflected image of the first figure.
2.In the figure below, a║b Determine whether the
third figure is a translation image of the first figure.
a
a
b
A Yes; it is one reflection after another with
respect to the two parallel lines.
B No; it is a reflection followed by a
translation.
C No; it is a reflection followed by a rotation.
D No; it is one reflection after another with
respect to the two parallel lines.
b
A Yes; it is one reflection after another with
respect to the two parallel lines.
B No; it is a reflection followed by a
translation.
C No; it is a reflection followed by a
rotation.
D No; it is one reflection after another with
respect to the two parallel lines.
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
5. Graph the figure and its image under the given
translation (x, y) (x + 2, y – 2): Given ∆XYZ with
endpoints X (-2, -2), Y (-4, -4), Z (-3, -4)
7. In the diagram, the dashed figure is the image of
the solid figure. Name the image of E.
B
A
A
B
C
D
R
Q
E
 T
8. The vertices of a triangle are P (–7, –4),
Q (–7, –8), and R (3, –3). Name the vertices of
the image reflected in the line y = x.
A
B
C
D
6. Given
P (–4, –3), what is
A
B
C
D
P (6, 2)
P (2, 4)
P (–6, –2)
P (–3, –5)
and
(P)?
P` (4, 7), Q` (8, 7), R` (3, -3)
P` (4, -7), Q` (8, -7), R` (3, 3)
P` (-4, - 7), Q` (-8, -7), R` (-3, 3)
P` (-4, 7), Q` (-8, 7), R` (-3, -3)
9. Describe in words the transformation represented
by the translation (x + 2, y – 1).
A
B
C
D
2 units to the right and 1 units down
1 units to the right and 2 units down
2 units to the left and 1 units down
2 units to the left and 1 units up
10. P
(–5, –8) by a translation (x + 3, y + 5) and
the reflection in the line y = –x. Find the
coordinates of the original point P.
A
B
C
D
(5, 0)
(–5, 0)
(11, 10)
(–11, –10)
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
11. Which graph shows a triangle and its reflection
image in the x-axis?
13. Which transformation from solid-lined figure to
dashed-lined figure is given by the translation
(x – 3, y + 3)
12. The hexagon GIKMPR and FJN are
regular. The dashed line segments form
30° angles. Find the angle of rotation
about O that maps P to G.
A
B
C
D
240°
120°
210°
270°
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
14. Square BCDE and its image after rotation, square
B'C'D'E', are graphed on the coordinate plane
below.
15. Find the image for the composite transformation
of the upper right triangle for the translation
(x - 8, y - 7) and reflection in the line x = -3.
A
B
Which of the following best describes the
rotation using function notation?
A
B
C
C
D
D
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
16. Name the type of symmetry for the figure.
A
B
C
D
18. Graph the image of the figure M (-3, -2),
V (-2, 0), T (1, -4), Y (-4, -2) using the
transformation given: rotation 90°
counterclockwise about origin.
reflection
rotation
rotation and reflection
no symmetry
17. If the figure has rotational symmetry, find the
angle of rotation about the center that result in an
image that matches the original figure.
19. How many lines of symmetry does the figure
have?
A
B
C
D
90°
120°
210°
no symmetry
A
B
C
D
7 lines of symmetry
14 lines of symmetry
28 lines of symmetry
infinitely many lines of symmetry
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
20. Which of the following best describes a
geometric dilation?
22. The transformation from triangle JKL to triangle
J'K'L' is shown on the coordinate plane below.
A A transformation that turns a figure
around a point
B A transformation that slides a figure to a
new location
C A transformation that flips a figure across
a line
D A transformation that enlarges or reduces
the size of a figure by a certain scale
factor
21. Which of the following is the definition of a
circle?
A A figure without corners or sides
B A figure with parallel sides of equal
length
C The resulting figure when a round cone is
cut obliquely by a plane
D The set of all points that are the same
distance from a point called the center
Which of the following best describes the
dilation using function notation?
A
(
)
B
C
D
Clayton County Public Schools Revised 5/2014
COORDINATE ALGEBRA
UNIT 5: TRANSFORMATIONS IN THE C OORDINATE PLANE
CONSTRUCTED RESPONSES
For questions 23-25 complete as directed by the teacher.
23. A square has the vertices A (1, 4), B (4, 7),
C (7, 4), and D (4, 1).
25. Use the concept of “geometric translation”
to give a definition of parallel lines.
A Use 1 transformation to bring the
figure back onto itself so that it looks
the same. Write this transformation
symbolically.
B Use at least 2 different types of
transformations (rotation, reflection,
or translation) to bring the figure back
onto itself. Write these
transformations symbolically.
24. The graph below shows trapezoid ABCD
and its reflection across the x-axis, A'B'C'D'.
How would you represent the reflection
performed using function notation? Show all
your work.
Clayton County Public Schools Revised 5/2014