WARM UP:
Describe in words how to rotate a figure
90 degrees clockwise.
Honors Geometry
Unit 2 Review
1. Use the given figure and line
of reflection to draw the
reflected image. Use a ruler.
Label all points.
W
Y
X
Z
2. Graph the figure and its image
under the given reflection.
• Triangle ABC: A(-3, 2), B(0, 1), C(-2, -3)
• Line y = x
3. Use the figure and translation
vector to draw a translated image.
Label all points. Use a ruler.
T
U
W
V
4. Graph each figure and its
image along the given vector.
•
•
•
•
Quadrilateral LMNP
L(4, 2), M(4, -1),
N(0, -1), P(1, 4)
<-4, -3>
5. Which matrix calculation
was used to transform
PQR to P ' Q ' R '
1
A.
Q
R'
Q'
4
B.
2
P
P'
-5
R
5
-2
C.
-4
D.
0  1 4 5
0  1 1 5 1



 1 0 1 4 5
 0 1 1 5 1



0
1

0
 1

 1 1 4 5



0  1 5 1
1 1 4 5



0 1 5 1
6. Graph each figure and its
image after the specified rotation
about the origin.
•
•
•
•
•
Triangle DEF
D(-4, 3),
E(1, 2),
F(-3, -3)
180°
7. Triangle ABC has vertices
A(1, 3), B(-2,-1) and C(3, -2)
Graph the triangle and its image
after the given glide reflection.
•
•
•
•
Translation
along <2, 0>
Reflection
across y axis
8. Does the figure appear to
have line symmetry? If so,
draw all lines of symmetry.
9. If DFG with vertices
D(-2, 6) F(2, 8) G(2, 3) is
rotated 180° about the origin.
Which matrix would be the
vertex matrix for D' F ' G' ?
A.
C.
 2  2  2
  6  8  3


 6  8  3
 2 2

2

B.
D.
 6 8 3
  2 2 2


2
 2 2
 6  8  3


10. JKL has vertices J(0, 3)
K(-2, -1) and L(-6, 1). When
is reflected over the line
A. (-2, 1)
x = -4, what are the
coordinates of L’?
B. (6, 1)
C. (-10, 1)
D. (6, -1)
11. Using matrices, find the
coordinates of the vertices of the
image of QRST after reflection across
y = x. Graph both.
•
•
•
•
Q(3, 2)
R(4, -3)
S(-3, -4)
T(-2, 1)
12. Using matrices, find the
image of DEFG if it is
translated 1 unit left and 4
units up. Graph both.
•
•
•
•
D(-4, -2)
E(0, -1)
F(2, -4)
G(-2, -5)
13. Using matrices, find the
image of triangle VWX after it
is rotated 270° about the
origin. Graph both.
• V(3, 2)
• W(4, 1)
• X(2, 1)
14. The vertex matrix  2 2  2
4 1 1
for triangle XYZ is


Triangle X’Y’Z’ is produced by translating 3
units right and 5 units down. What is the
vertex matrix for triangle X’Y’Z’ ?
A.
C.
 7  3  7 
7

4
4

1 1 5
2 1 1


B.
5
1
1
  1  4  4


D.
 5  1  5
  1  4  4


15. If ABCD is reflected across
the x axis, which rule describes
the transformation?
4
A.
B.
C.
D.
(x’, y’) = (y, x)
(x’, y’) = (-y, x)
(x’, y’) = (x, -y)
(x’, y’) = (-x, y)
B
2
A
-5
5
C
-2
D
-4
16. JKL has vertices J(2, 2)
K(3, 5) and L(6, 2). The triangle is
translated along the vector <-1, -6>
and reflected over the y axis. Which
matrix represents the coordinates of
J ' K ' L'
A.
C.
2
2

1
4

3 6

5 2
2 5

1 4
2
5
1

B. 
  4  1  4
D.
  1  2  5
  4  1  4


17.
2 3 6
DEF  

 2 5 2
It is translated 2 units left and 5
units up. Then it is translated 6
units right and 6 units down. Which
operation finds the correct
coordinates of D' E ' F ' ?
 2 3 6    2  2  2
A 



2
5
2
5
5
5

 

6
6
2 3 6  6
C. 



2
5
2

6

6

6

 

2 3 6  4 4 4 
B. 



2 5 2  1  1  1
D.
2 3 6  8 8 8 
2 5 2  11 11 11

 
