Chapter 8 Test Review CCSS Math 1

Name: ________________________ Class: ___________________ Date: __________
Chapter 8 Test Review
____
CCSS Math 1
1. Which of these transformations appear to be a rigid motion?
(I) parallelogram EFGH  parallelogram XWVU
(II) hexagon CDEFGH  hexagon YXWVUT
(III) triangle EFG  triangle VWU
A. I only
B. I, II, and III
C. II and III only
D. I and II only
In the diagram, figure RQTS is the image of figure DEFC after a rigid motion.
2. Name the image of E.
__________
3. Name the image of FC .
__________
3
ID: A
Name: ________________________
ID: A
4. Graph T  3, 4  ( ABC).
Use the diagram.
5. Find the image of C under the translation described by the translation rule T  12,4  (C). __________
6. Find the translation rule that describes the translation B  A. (Use proper notation!) __________
2
Name: ________________________
ID: A
7. The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point
(–12, –6). Find the translation rule and the image of U.
_____________________________________
8. Describe in words the translation of X represented by the translation rule T  4, 8  (X). _________________
9. In the diagram, the dashed-lined figure is the image of the solid-lined figure after a rigid motion.
a. List all pairs of corresponding sides.
__________________________________________
b. Name the image of point E. ________________
3
Name: ________________________
ID: A
10. What are the vertices of T  8, 6  (ABC)? Graph T  8, 6  (ABC). ___________________
11. The vertices of a triangle are P(1, 7), Q(6, –8), and R(–7, –6). Name the vertices of R y  0 ( PQR).
______________________________________
4
Name: ________________________
ID: A
12. The vertices of a triangle are P(–7, –3), Q(–6, 8), and R(3, –6). Name the vertices of R x  0 ( PQR).
_____________________________________
13. Find the image of P(0, –3) after two reflections; first R y  5 (P), and then R x  3 (P' ).
_____________________________________
5
Name: ________________________
ID: A
____ 14. Which graph shows a triangle and its reflection image over the x-axis?
A.
C.
B.
D.
15. Draw R x-axis (ABC).
6
Name: ________________________
ID: A
The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
16. What is r (240, O) (R)? _______________________________________
17. Find r (120, O) (OL). _____________________________________
18. a. Graph the quadrilateral WXYZ with vertices W(3, –5), X(1, –3), Y(–1, –5), and Z(1, –7).
b. Graph r (90,O) (WXYZ) and state the coordinates of the vertices.
_____________________________
____ 19. Which type of isometry is the equivalent of two reflections across intersecting lines?
A. reflection
C. rotation
B. glide reflection
D. none of these
7
Name: ________________________
ID: A
20. The glide reflection R y  x  T  4, 3  maps the point P to (1, 3). Find the coordinates of P.
____ 21. Find the glide reflection image of the black triangle for the composition (R x  1  T  0,7  ).
A.
C.
B.
D.
8
ID: A
Chapter 8 Test Review
Answer Section
CCSS Math 1
1. ANS:
OBJ:
NAT:
TOP:
2. ANS:
R
D
PTS: 1
DIF: L3
REF: 8-1 Translations
8-1.1 To identify rigid motions
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-1 Problem 1 Identifying a Rigid Motion
KEY: transformation | rigid motion
PTS:
OBJ:
NAT:
TOP:
3. ANS:
ST
1
DIF: L3
REF: 8-1 Translations
8-1.1 To identify rigid motions
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-1 Problem 2 Naming Images and Corresponding Parts
KEY: image | preimage | rigid motion
PTS:
OBJ:
NAT:
TOP:
KEY:
4. ANS:
1
DIF: L3
REF: 8-1 Translations
8-1.1 To identify rigid motions
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-1 Problem 2 Naming Images and Corresponding Parts
image | preimage | corresponding parts | rigid motion
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L3
REF: 8-1 Translations
8-1.2 To find translation images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-1 Problem 3 Finding the Image of a Translation
translation | transformation | preimage | image
1
ID: A
5. ANS:
A
PTS: 1
DIF: L3
REF: 8-1 Translations
OBJ: 8-1.2 To find translation images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-1 Problem 3 Finding the Image of a Translation
KEY: translation | preimage | image
6. ANS:
T  8,14  (B)
PTS: 1
DIF: L3
REF: 8-1 Translations
OBJ: 8-1.2 To find translation images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-1 Problem 4 Writing a Rule to Describe a Translation
KEY: translation | preimage | image
7. ANS:
T  7,1  (RSTU); (12, 0)
PTS: 1
DIF: L4
REF: 8-1 Translations
OBJ: 8-1.2 To find translation images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-1 Problem 4 Writing a Rule to Describe a Translation
KEY: translation | image | preimage
8. ANS:
4 units to the left and 8 units down
PTS: 1
DIF: L4
REF: 8-1 Translations
OBJ: 8-1.2 To find translation images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-1 Problem 4 Writing a Rule to Describe a Translation
KEY: translation
9. ANS:
a. AB  MN, BC  NJ, CD  JK, DE  KL, EA  LM
b. L
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L4
REF: 8-1 Translations
8-1.1 To identify rigid motions
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-1 Problem 2 Naming Images and Corresponding Parts
transformation | image | preimage | multi-part question | rigid motion
2
ID: A
10. ANS:
T  8,6  (A) = (6  8, 2  6)  A (2,  4)
T  8,6  (B) = (2  8, 4  6)  B  (6,  2)
T  8,6  (C) = (4  8,  4  6)  C  (4,  10)
PTS: 1
DIF: L4
REF: 8-1 Translations
OBJ: 8-1.1 To identify rigid motions
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-1 Problem 3 Finding the Image of a Translation
KEY: transformation | image | preimage | translation
11. ANS:
P  (1,  7), Q  (6, 8), R (7, 6)
PTS: 1
DIF: L3
REF: 8-2 Reflections
OBJ: 8-2.1 To find reflection images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-2 Problem 1 Reflecting a Point Across a Line
KEY: reflection | line of reflection
12. ANS:
P  (7,  3), Q (6, 8), R (3,  6)
PTS: 1
DIF: L3
REF: 8-2 Reflections
OBJ: 8-2.1 To find reflection images of figures
NAT: CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
TOP: 8-2 Problem 1 Reflecting a Point Across a Line
KEY: reflection | line of reflection
13. ANS:
(6, –7)
PTS:
OBJ:
NAT:
TOP:
1
DIF: L4
REF: 8-2 Reflections
8-2.1 To find reflection images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-2 Problem 1 Reflecting a Point Across a Line
KEY: reflection | line of reflection
3
ID: A
14. ANS:
OBJ:
NAT:
TOP:
15. ANS:
B
PTS: 1
DIF: L3
REF: 8-2 Reflections
8-2.1 To find reflection images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-2 Problem 2 Graphing a Reflection Image
KEY: reflection | line of reflection
PTS:
OBJ:
NAT:
TOP:
KEY:
16. ANS:
I
1
DIF: L3
REF: 8-2 Reflections
8-2.1 To find reflection images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-2 Problem 2 Graphing a Reflection Image
reflection | image | preimage | line of reflection
PTS:
OBJ:
NAT:
TOP:
KEY:
17. ANS:
OH
1
DIF: L3
REF: 8-3 Rotations
8-3.1 To draw and identify rotation images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-3 Problem 2 Drawing Rotations in a Coordinate Plane
rotation | center of rotation | angle of rotation
PTS:
OBJ:
NAT:
TOP:
KEY:
1
DIF: L3
REF: 8-3 Rotations
8-3.1 To draw and identify rotation images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-3 Problem 2 Drawing Rotations in a Coordinate Plane
rotation | center of rotation | angle of rotation
4
ID: A
18. ANS:
a–b.
Vertices: W (5,3), X (3,1), Y  (5,1), Z  (7,1)
PTS:
OBJ:
NAT:
TOP:
KEY:
19. ANS:
OBJ:
TOP:
20. ANS:
(0, 3)
1
DIF: L3
REF: 8-3 Rotations
8-3.1 To draw and identify rotation images of figures
CC G.CO.2| CC G.CO.4| CC G.CO.5| CC G.CO.6| G.2.b| G.2.c| G.2.d
8-3 Problem 2 Drawing Rotations in a Coordinate Plane
rotation | angle of rotation | center of rotation
C
PTS: 1
DIF: L2
REF: 8-4 Compositions of Isometries
8-4.2 To classify isometries
NAT: CC G.CO.2| CC G.CO.5| CC G.CO.6| G.2.d| G.2.g
8-4 Problem 2 Reflections Across Intersecting Lines
KEY: isometry
PTS:
OBJ:
NAT:
TOP:
21. ANS:
OBJ:
NAT:
TOP:
1
DIF: L4
REF: 8-4 Compositions of Isometries
8-4.1 To find compositions of isometries, including glide reflections
CC G.CO.2| CC G.CO.5| CC G.CO.6| G.2.d| G.2.g
8-4 Problem 3 Finding a Glide Reflection Image
KEY: glide reflection | isometry
D
PTS: 1
DIF: L3
REF: 8-4 Compositions of Isometries
8-4.1 To find compositions of isometries, including glide reflections
CC G.CO.2| CC G.CO.5| CC G.CO.6| G.2.d| G.2.g
8-4 Problem 3 Finding a Glide Reflection Image
KEY: isometry | glide reflection
5

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