Lesson 3 ..4
Skills Practice
-
;;:=
KAME
DATE
_
Slide, Flip, Turn! Translations, Rotations, and Reflections of Triangles
Problem Set Perform each given transformation.
1. Translate MBC 4 units to the right and 9 units down. y B
/ \
I
\
/
\
A
C
x
0 B'
0
I \ II 11 I
I i /:1
.~
\ f--
\ --
C'
Chapter 3
Skills Practice
•
415
lesson 3..4
Skills Practice
2. Rotate IiDEF 90° counterclockwise
page 2
about the origin. y
E ,/ /'
,/ 0
1\ I
\ F x
0 0
3. Reflect IiFGH over the y-axis. y
x
0 0 G
1"'<,
-, I F
01
c
"E
ell
"-
Q)
-I
H
Q)
"i5l Q) c
m
o @
416
•
Chapter 3
Skills Practice
lesson 3..4
Skills Practice
page 3
=
tMt¥
HAME
DATE
_
4. Translate 6JKL 10 units to the right and 5 units up. y
,
x
0
0
I
K
J .""- 1"'-
-,
\ 1""-
I
1"'-
\ ~ L
5. Rotate 6MNP 900 clockwise
about the origin. __ y N
<,
I I I M
1"'1""-
i',
-, P
x
0 0
Chapter 3
Skills Practice
•
417
Lesson 3 ..4
page 4
Skills Practice
Pitt
6. Reflect 6QRS over the x-axis. y
Q
1\<, r--..... r--..... ...... R
\
1\
I
\ \ / \ S
x
0 0
I
7. Translate 6 TUV 8 units to the left and 8 units up. y
x
0 0
u /1\
I
1/
\
/
Ol C
T
;0-
r-.
-
'c
\
Cii
v
Q)
-.J
.<1:' Ol Q)
C
Cii
o
e
418
•
Chapter 3
Skills Practice
Lesson 3 ..4
page 5
Skills Practice
fiAME
DATE
8. Rotate!:::.XYZ 180 counterclockwise
_
about the origin.
0
y
y
/i\ 1/
/ II /
"-
Vz V-
I!.....
x x
0 0
9. Reflect MBC over the y-axis. y
I x
0 0
I
B
1\
1/ \ \
/ 1/
A ....... t--...
1\
t--...t-...
c
Chapter 3
Skills Practice
•
419
Lesson 3,,4
Skills Practice
-
10. Rotate MBC
90° counterclockwise
page 6
about the origin. y
I I
x
0 0
A
<, <,
I
--
B
/
-, i"-..I/
/
c
Determine the coordinates
of the triangle's
11. Triangle ABC with coordinates
image after each given transformation.
A(3, 4), B(7, 7), and C(8, 1) is translated 6 units left and
7 units down. The coordinates of the imaqe are JV(-3;
12. Triangle OEFwith
coordinates
0(-2,2),
-3), B'(1 ~OL and Ci(2, -6).
E(1, 5), and F(4, -1) is rotated 90° counterclockwise
the origin.
13. Triangle GHJ with coordinates
G(2, -9), H(3, 8), and J(1, 6) is reflected over the x-axis,
14. Triangle KLM with coordinates
K(-4,
2), L(-8,
7), and M(3, -3) is translated
4 units right and
9 units up.
15. Triangle NPQ with coordinates N(12, -3), P(1, 2), and Q(9, 0) is rotated 180° counterclockwise about the origin.
420
•
Chapter 3
Skills Practice
about
page 7
Skills Practice
KAME
DATE
16. Triangle RST with coordinates
17. Triangle WXY with coordinates
_
R(O, -9), S(5, -7), and T(11, 4) is reflected over the y-axis.
W(8, -6), X(5, -15), and Y(-2,
3) is translated 8 units left and
15 units up.
18. Triangle ABC with coordinates
A(-2,
2), B(1, 5), and C(4, -1) is rotated 90° clockwise
about
the origin.
19. Triangle OMP with coordinates O(-1, -15), M(5, 0), and P( -6, 12) is reflected over the x-axis.
20. Triangle XYZ with coordinates X(1 0, -10), Y(8, 4), and Z(1, 9) is rotated 90° counterclockwise
about
the origin.
Describe the transformation
used to form each triangle.
21. The vertices of triangle ABC are A(2, 4), B(5, 7), and C(3, 1). Describe the translation triangle A'B'C' Triangle A'B'C'
rn
c:
·c ia
for A'(-5,
4), B'(-2,
7), and C'(-4,
used to form
1).
was formed by translating triangle ABC 7 units to the left.
22. The vertices of triangle OEF are 0(0,3), E(1, 8), and F(-3, 4). Describe the rotation used to form triangle O'E'F' for 0'(3,0),
E'(8, -1), and F'(4, 3).
Q)
---1
Q)
.6> Q)
E C1l
o
@
23. The vertices of triangle GHJ are G(-5, 3), H(2, 6), and J(-6, form triangle G'H'J'
for G'(5, 3), H'(-2,
2). Describe the reflection used to
6), and J'(6, 2).
Chapter 3
Skills Practice
•
421
Skills Practice
page 8
24. The vertices of triangle KMN are K(12, 3), M( -5, 2), and N(8, -4). Describe the translation used to form triangle K'M'N'
for K'(18, 0), M'(1, -1), and N'(14, -7).
25. The vertices of triangle PQR are P(9, -2), Q(1, 0), and R(-7, triangle P'Q'R'
for P'(-9,
2), Q'(-1,
3). Describe the rotation used to form
0), and R'(7, -3).
26. The vertices of triangle STW are S(15, -6), T(-2, 3), and W( -8, -8). Describe the reflection used to form triangle S'T'W'
forS'(15,
6), T'(-2,
-3), and W'(-8,
8).
27. The vertices of triangle XYZ are X(4, 4), Y(-5, 9), and Z(10, 5). Describe the translation used to form triangle X'Y'Z'
for X'(-6,
-1), Y'(-15,
4), and Z'(O, 0).
28. The vertices of triangle ANW are A(O, -9), N(O, 0), and W(6, 1). Describe the rotation used to form triangle A'N'W'
for A'(9, 0), N'(O, 0), and W'(-1,
6).
29. The vertices of triangle BGZ are B(11, 0), G(-2, 7), and Z(-4, form triangle B'G'Z'
for B'(11, 0), G'(-2,
30. The vertices of triangle oMV are 0(-3, to form triangle o'M'V'
422
•
Chapter 3
for 0'(-6,2),
Skills Practice
-7), and Z'(-4,
0). Describe the reflection used to
0).
-10), M(1, -11), and V(3, 0). Describe the translation M'(-2,
1), and V'(O, 12).
used
