Topic 1: Reflections

Unit 9 Test Study Guide

(Transformations)

Name: ______

Date: ______Block: ______

Topic 1: Reflections

Directions: Graph and label each figure and its image under the given reflection.

1. TriangleFGHwith verticesF(-7, -2),G(-1, -4) / 2. TrapezoidQRSTwith verticesQ(4, -1),
and H(-5, -5): in the y-axis / R(6, -1), S(8, -6) and T(2, -6): in the line y =1
Q’ (____, ____)
F’ (____, ____) / R’ (____, ____)
G’ (____, ____)
S’ (____, ____)
H’ (____, ____) / T’ (____, ____)
3. SquareLMNOwith verticesL(-4, 6),M(-1, 8), / 4. RhombusABCDwith verticesA(-3, -2),B(1, -3),
N(1, 5), and O(-2, 3): in the line y = 2 / C(2, -7) and D(-2, -6): in the x-axis
L’ (____, ____) / A’ (____, ____)
M’ (____, ____) / B’ (____, ____)
N’ (____, ____) / C’ (____, ____)
O’ (____, ____) / D’ (____, ____)
5. ParallelogramSTUVwith verticesS(-3, 4), / 6. TriangleXYZwith verticesX(-8, 3),Y(-6, 5),
T(-1, 7), U(5, 7), and V(3, 4): in the line y =3 / and Z(-5, -2): in the line x = -4
S’ (____, ____)
T’ (____, ____) / X’ (____, ____)
U’ (____, ____) / Y’ (____, ____)
Z’ (____, ____)
V’ (____, ____)

Topic 2: Translations

Directions: Graph and label each figure and its image under the given translation.

7. RectangleDEFGwith verticesD(6, 1),E(8, 0), / 8. TriangleJKLwith verticesJ(-2, 3),K(2, 4),
F(5, -6), and G(3, -5): (x, y)→(x – 11, y + 4) / and L(6, -1): (x, y) → (x – 2, y – 6)
D’ (____, ____)
E’ (____, ____) / J’ (____, ____)
F’ (____, ____) / K’ (____, ____)
G’ (____, ____) / L’ (____, ____)
9. / Write a rule for the translation shown below: / 10. Write a rule for the translation shown below:
G
H / S’
G’ / R’
H’
I
I’ / S
R
T’
U’
T
U

Rule: ______Rule: ______

Topic 3: Rotations

Give each rule for counterclockwise rotations about the origin:

90°: (x,y)→______ 180°: (x,y)→______ 270°: (x,y)→______

Directions: Graph and label each figure and its image under the given counterclockwise rotation about the origin.

11. TriangleCDEwith verticesC(2, 4),D(6, 7), / 12. QuadrilateralMNOPwith verticesM(-6, 8),
and E(7, 3): 90° / N(-1, 4), O(-2, 1), and Z(-7, 2):180°
M’ (____, ____)
C’ (____, ____) / N’ (____, ____)
D’ (____, ____) / O’ (____, ____)
E’ (____, ____) / P’ (____, ____)
13. SquareTUVWwith verticesT(-6, -2),U(-3, -3), / 14. TrapezoidKLMNwith verticesK(-7, 1),
V(-4, -6), and W(-7, -5):270° / L(-3, 0), M(-3, -4), and N(-7, -8):180°
T’ (____, ____) / K’ (____, ____)
L’ (____, ____)
U’ (____, ____)
M’ (____, ____)
V’ (____, ____)
W’ (____, ____) / N’ (____, ____)
15. RhombusDEFGwith verticesD(-7, 8), / 16. TrianglePQRwith verticesP(1, 3),Q(4, 8),
E(-2, 7), F(-1, 2), and G(-6, 3):90° / and R(8, 1): 270°
D’ (____, ____) / P’ (____, ____)
E’ (____, ____)
F’ (____, ____) / Q’ (____, ____)
R’ (____, ____)
G’ (____, ____)

Topic 4: DILATIONS

Directions: Graph and label each figure and its image under the given dilation.

23. TriangleABCwith verticesA(-7,1),B(-5, 6), / 24. SquareJKLMwith verticesJ(6, 12),K(15, 12),
and C(-1, 2): k= 2 / L(15, -3), and M(6, -3):k= 1/3
A’ (____, ____) / J’ (____, ____)
K’ (____, ____)
B’ (____, ____) / L’ (____, ____)
C’ (____, ____) / M’ (____, ____)
25. TriangleSTUwith verticesS(0, 2),T(2, 3), / 26. TrapezoidLMNOwith verticesL(-12, 0),
and V(4, 1):k= 7/2 / M(-4, -4), N(-4, -8), and O(-12, -12):k= 3/4
S’ (____, ____) / L’ (____, ____)
M’ (____, ____)
T’ (____, ____) / N’ (____, ____)
U’ (____, ____) / O’ (____, ____)
27. Graph the image of the quadrilateral below / 28. Graph the image of the triangle below using a
using a scale factor of k= 2/3. / scale factor of k= 5.
Y
X
E / Z
C’ (____, ____)
D
D’ (____, ____) / X’ (____, ____)
F / E’ (____, ____) / Y’ (____, ____)
C / F’ (____, ____) / Z’ (____, ____)
29. Identify the scale factor used to graph the / 30. Identify the scale factor used to graph the
image below. / image below.
J / P’ / Q’
K / P / Q
J’
K’
L / R’
S’
R
L’ / S
k = ______/ k = ______