Name: ________________________ Class: ___________________ Date: __________
CHAPTER 9 QUIZ1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
In the diagram, the dashed figure is the image of the solid figure.
1. Name the image of ∠C.
a. ∠Q
b. ∠R
c. ∠T
d. ∠F
b.
2. Write a rule to describe the transformation that is a
reflection in the x-axis.
a. (x, y) → (–x, y)
b. (x, y) → (y, x)
c. (x, y) → (–x, –y)
d. (x, y) → (x, –y)
3. Which graph shows a triangle and its reflection
image in the x-axis?
a.
c.
1
ID: C
Name: ________________________
ID: C
d.
4. The vertices of a triangle are P(8, 2), Q(–1, –3), and R(4, –2). Name the vertices of the image reflected in the
y-axis.
a. P ′(−8, 2), Q ′(1, − 3), R ′(−4, − 2)
c. P ′(8, 2), Q ′(−1, − 3), R ′(4, − 2)
b. P ′(8, − 2), Q ′(−1, 3), R ′(4, 2)
d. P ′(−8, − 2), Q ′(1, 3), R ′(−4, 2)
5. Find the image of O(1, 3) after two reflections, first in the line y = –2, and then in the line x = 4.
a. (4, –2)
b. (7, –7)
c. (1, 3)
d. (5, 1)
Use the diagram.
7. Find the vector that describes
the translation B → A.
6. Find the image of C under the translation described
by the vector 11, − 8 .
a.
b.
c.
d.
E
B
A
D
2
a.
8, 14
b.
0, 15
c.
−4, 10
d.
7, 2
Name: ________________________
ID: C
9. Describe in words the translation represented by
8. Write a rule to describe the transformation that is a
reflection in the y-axis.
a. (x, y) → (–x, –y)
b. (x, y) → (–x, y)
c. (x, y) → (y, x)
d. (x, y) → (x, –y)
the vector 7, − 1 .
a.
b.
c.
d.
1 units to the right and 7 units down
7 units to the left and 1 units down
7 units to the left and 1 units up
7 units to the right and 1 units down
The hexagon GIKMPR and ∆FJN are regular. The dashed line segments form 30° angles. ( Count clockwise)
10. Find the angle of rotation about O that maps R to
G. ( counter clockwise)
a. 330°
b. 270°
c. 60°
d. 300°
12. Find the image of ON after a rotation of 180° about
point O. ( counter clockwise)
a. OH
b. OF
c. OJ
d. OL
11. Find the angle of rotation about O that maps PQ to
13. Use an ordered pair to describe the translation that
is 7 units to the right and 10 units up.
KL . ( counter clockwise)
a. 120°
b. 90°
c. 150°
d. 240°
a.
−7, − 10
b.
−7, 10
c.
7, − 10
d.
7, 10
14. The vertices of a triangle are P(–5, –2), Q(–4, 8), and R(2, –3). Name the vertices of the image reflected in the
x-axis.
a. P ′(−5, 2), Q ′(−4, − 8), R ′(2, 3)
c. P ′(−5, − 2), Q ′(−4, 8), R ′(2, − 3)
b. P ′(5, − 2), Q ′(4, 8), R ′(−2, − 3)
d. P ′(5, 2), Q ′(4, − 8), R ′(−2, 3)
3
Name: ________________________
ID: C
15. Use an ordered pair to describe the translation that is 4 units to the left and 6 units up.
a.
−4, 6
b.
4, 6
c.
−4, − 6
d.
4, − 6
16. The vertices of a triangle are P(8, –8), Q(8, –2), and R(–2, 6). Name the vertices of the image reflected in the line
y = x.
a. P ′(−8, 8), Q ′(−2, 8), R ′(6, − 2 )
c. P ′(8, − 8), Q ′(2, − 8), R ′( − 6, 2)
′
′
′
b. P (8, 8), Q (2, 8), R (−6, − 2)
d. P ′(−8, − 8), Q ′(−2, − 8), R ′(6, 2)
17. Find the degree of rotation about the spinner center that maps label D to label B.
( counter clockwise)
a.
288°
b.
108°
c.
36°
4
d.
72°
ID: C
CHAPTER 9 QUIZ1
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
C
D
B
A
B
D
A
B
D
D
A
A
D
A
A
A
D
1