Embed Size (px)
Citation preview
Copy
right
© H
ough
ton
Miffl
in H
arco
urt P
ublis
hing
Com
pany
. All
right
s re
serv
ed.
Name ——————————————————————— Date ————————————
Practice BFor use with the lesson “Perform Rotations“
Match the diagram with the angle of rotation.
1.
x8
2. x8
3. x8
A. 1108 B. 1708 C. 508
Trace the polygon and point P on paper. Then draw a rotation of the polygon the given number of degrees about P.
4. 458 5. 1208 6. 1358
PA
B
C
P
A B
C
P
A B
C D
Rotate the figure the given number of degrees about the origin. List the coordinates of the vertices of the image.
7. 908 8. 1808 9. 2708
x
y
2
1
A D
CB
x
y
1
1 A
D
C
B
x
y
1
1
AD
CB
Find the value of each variable in the rotation.
10.
y
x
x 2 411
1308
11. y
x2x 1 36
1008
12.
r
4s
2s 2 324
2708
GeometryChapter Resource Book9-50
Les
so
n 9
.4
Lesson
9.4
Copy
right
© H
ough
ton
Miffl
in H
arco
urt P
ublis
hing
Com
pany
. All
right
s re
serv
ed.
Name ——————————————————————— Date ————————————
Find the image matrix that represents the rotation of the polygon about the origin. Then graph the polygon and its image.
A B C A B C
13. F 1 4 3 2 2 4G; 908 14. F 0 4 2
21 0 3G; 1808
x
y
1
1
x
y
1
1
A B C D A B C D
15. F 1 2 4 5 21 3 3 21G; 908 16. F 23 22 2 1
24 21 21 24G; 2708
x
y
1
1
x
y
1
1
The endpoints of } CD are C(2, 1) and D(4, 5). Graph }
C9D9 and } C 0D 0 after the given rotations.
17. Rotation: 908 about the origin 18. Rotation: 1808 about the origin Rotation: 2708 about (2, 0) Rotation: 908 about (0, 23)
x
y
2
2
x
y 2
2
Practice B continuedFor use with the lesson “Perform Rotations“
GeometryChapter Resource Book 9-51
Les
so
n 9.4
Lesson
9.4
Copy
right
© H
ough
ton
Miffl
in H
arco
urt P
ublis
hing
Com
pany
. All
right
s re
serv
ed.
an
sw
er
s
H9 I9 J9 K9
11. F 21 24 25 22 26 24 21 22G;
x
y
2
2 H
H9
I9
J9 K9
I
K
J
L9 M9 N9
12. F 2 4 1 3 1 6 G;
x
y
1
1
L
M
N
L9
M9
N9
13. The rotation matrix is for a 90° rotation. Replace this matrix with the 180° rotation matrix.
14. 30°
Practice Level B
1. C 2. A 3. B
4.
PA
A9
B9 C9B
C
5.
P
A
A9
B9
C9
B
C
6.
P
A
A9
B9C9
D9
B
CD
7. A9(21, 23), B9(23, 23), C9(23, 1), D9(21, 1)
8. A9(2, 0), B9(3, 22), C9(2, 24), D9(1, 22)
9. A9(2, 0), B9(4, 21), C9(4, 26), D9(2, 25)
10. x 5 11, y 5 7 11. x 5 6, y 5 15
12. r 5 9, s 5 6
A9 B9 C9
13. F 22 22 24 1 4 3G;
x
y
1
1
AA9
B9
C9
B
C
A9 B9 C9
14. F 0 24 22 1 0 23G;
x
y
2
4
A
A9
B9
C9
B
C
A9 B9 C9 D9
15. F 1 23 23 1 1 2 4 5G;
x
y
1
2
A
A9
B9
C9
D9
B C
D
A9 B9 C9 D9
16. F 24 21 21 24 3 2 22 21 G;
x
y
1
1
A
A9
B9
C9
D9B C
D
17.
x
y
4
2 C9
C99
D99
D9
18.
x
y 2
2 C9
C99D99
D9
Practice Level C
1. B 2. C 3. A
4.
A
A9
B9C
C9P
B 5. A
D C
B
A9
B9 C9
D9
P
6. A B
C
D
G
G9
H9K9
A9
B9
C9 D9
H
K
P
7. D9(21, 23), E9(21, 25), F9(24, 26), G9(24, 22) 8. D9(3, 21), E9(6, 21), F9(5, 23), G9(2, 23) 9. D9(4, 0), E9(7, 22), F9(4, 26), G9(2, 22) 10. x 5 4, y 5 7 11. x 5 16, y 5 12
12. x 5 4, y 5 6
A9 B9 C9
13. F 2 1 4 1 4 3G;
x
y
1
1
A
A9
B9
C9
B
C
Lesson Perform Rotations, continued
GeometryChapter Resource BookA38
9.4
