
Geometry
Name___________________________________
Review Unit 8
ANSWERS
Graph the image of the figure using the transformation given.
1) translation: 2 units left and 1 unit up
2) translation: 5 units left
y
y
G'
G
L'
U'
L
Q'
U
E
E'
x
Q
X'
X
Z
Z'
3) translation: ( x, y)( x, y)
H(, ), A(, ), Y(, )
x
4) translation: ( x, y)( x, y)
y
y
G
A'
H'
G'
x
Y'
A
D
S
x
H
D'
S'
Y
Write an ALGEBRAIC RULE to describe each transformation.
5)
6)
y
G'
y
U'
W
W'
G
x
U
x
B
A'
B'
S
S'
A
translation: ( x, y)( x, y)
Worksheet by Kuta Software LLC
translation: ( x, y)( x, y

Graph the image of the figure using the transformation given.
7) reflection across the y-axis
8) reflection across y x
y
y
B'
J'
G'
G
K
B
Y'
Y
U'
K'
U
x
x
J
H
H'
Give the line of reflection (equation or axis) for the transformations below:
x = -1
9) UHIOHFWLRQDFURVVWKH\D[LV
10)
y
reflection across x
y
B'
B
Q' Q
x
x
K'
K
X
X'
M
R
M'
R'
Graph the image of the figure using the transformation given.
12) rotation 90° clockwise about the origin
11) rotation 180° about the origin
y
y
G
T'
R
D
U'
= Rot 270.
Y
x
x
Y'
U
G'
D'
T
R'
(x, y) --> (-x, -y)
Worksheet by Kuta Software LLC
(x, y) --> (-y, x)
-2-
13) rotation 90° counterclockwise about the
origin
(x, y) --> (-y, x)
y
14) rotation 90° clockwise about the origin
y
= 270 degrees
Counterclockwise
Q'
L'
N'
(x,y) --> (y, -x)
R'
L
S'
S
x
N
G'
G
x
Q
R
Find the coordinates of the vertices of each figure after the given transformation.
15) rotation 90° clockwise about the origin
T(, ), G(, ), A(, )
T'(, ), G'(, ), A'(, )
16) rotation 180° about the origin
J(, ), T(, ), Q(, )
J'(, ), T'(, ), Q'(, )
= 270 degrees counterclockwise!!
(x,y) --> (-x, -y)
(x,y) --> (y, -x)
17) rotation 90° counterclockwise about the
origin
A(, ), P(, ), Z(, )
A'(, ), P'(, ), Z'(, )
18) rotation 180° about the origin
Y(, ), M(, ), D(, )
Y'(, ), M'(, ), D'(, )
Same as #16
(x,y) --> (y, -x)
Worksheet by Kuta Software LLC
-3-
3, 8, 0
19.
Give three numbers that have reflectional symmetry.
20.
Give an example of a food that has rotational symmetry.
21.
a.
Graph T'A'G', the image of T(-4, 1), A(-5, 0), G(-1, -2) after a translation
(x + 3, y + 4).
using the rule (x,y)
b.
Graph T''A''G'', the image of T'A'G', after a reflection in the y-axis.
c.
Graph T'''A'''G''', the image of T''A''G'', after a CLOCKWISE rotation of 900.
d.
Is the transformation of TAG
Pizza, Cookie, Pancake, Waffle, Cake
T'A'G'
T''A''G''
T'''A'''G''' an isometry?
Yes! The triangles are congruent!
#
$
!"
O'
!$
!#
!
"
Tell if the following logos have Rotational Symmetry, Reflectional Symmetry, neither, or both. 22. 23. 24. Reflectional
Rotational
Both
Solve each equation for x!
1. -3x
- 5 > 15
2. 2 x
– 5 - x = 3x – 15
x < -20/3
x = 5
Factor! 3. 2x
2
+ 3x - 2
(2x - 1)(x + 2)
Algebra Review
5. Graph the equation: 2y – x = 2 m = 1/2
b = 1
Factor! 4. x
2
+ 4x + 2
(x+2)(x+2)
6. Graph the equation: 2x + 3y = 12 + 2x m = 0
b = 4