Exercise Chapter 11 Form 2 2011
[email protected] Mathematics : Transformations
Answer all questions. A. Translation
Object
Translation
Image
() ()
A B
5 2
A
0 3
B
ʼ
ʼ ʼ
C
C
ʼ ʼ
(− ) (− )
D E
3 4
D
4 2
E
ʼ ʼ
ʼ ʼ
F
F
G
G
ʼ ʼ
ʼ ʼ
( −− ) (− ) (− )
H I JK
1 3
H
1 5
I
7 8
J K
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
10
J 8
A K
6
F'
4
I
B
– 10
E'
2
–5
5
D'
C
10
–2
H' –4
F
–6
C' G'
G
–8
1
Exercise Chapter 11 Form 2 2011
[email protected] Mathematics : Transformations
Answer all questions.
Write down the coordinates of the image, object or translation in each of the following cases:
a)
⎛ −1⎞ ⎜ 4 ⎟ ⎝ ⎠ (5,-3) ⎯ ⎯⎯ →(
,
)
b)
⎛ 5 ⎞ ⎜ -2⎟ ⎝ ⎠ (-3,6) ⎯ ⎯⎯ →(
,
)
c)
⎛ −3⎞ ⎜ 4 ⎟ ⎝ ⎠ (-1,-5) ⎯ ⎯⎯ ⎯ ⎯ →(
d)
⎛ 5⎞ ⎜ 8⎟ ⎝ ⎠ (0,4) ⎯ ⎯⎯ ⎯ ⎯ →(
e)
⎛ ⎞ ⎜ ⎟ ⎝ ⎠ (-5,0) ⎯ ⎯⎯ →(−7, −3)
f)
⎛ ⎞ ⎜ ⎟ ⎝ ⎠ →(6, −7) (6,-2) ⎯ ⎯⎯
g)
h)
(
(
,
,
)
)
,
⎛ 8⎞ ⎜ 0⎟ ⎝ ⎠ ) ⎯ ⎯⎯ ⎯ ⎯ →(6, −3)
,
⎛ −1⎞ ⎜ 2 ⎟ ⎝ ⎠ ) ⎯ ⎯⎯ ⎯ ⎯ →(4,6)
2
Exercise Chapter 11 Form 2 2011
[email protected] Mathematics : Transformations
Answer all questions. B. Reflec R eflection tion
In the Cartesian plane below, mark the image N , O , and P under a reflection: ʼ ʼ
ʼ ʼ
A
, B , C , D , E , F , G , H , I , J , K , L , M ,
ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ ʼ
ʼ
ʼ ʼ
ʼ ʼ
a) y = 2 10
ʼ ʼ
b) y = x
y
y 8
A
8
I
6
H
6
B
4
J K
4
L
D
C
2
M
2
x
–5
5
x 5
10
Q
–2
N
–2 –4
E F
–4
P
–6
G –6 –8
C. Rotation
b) In the diagram below, find the centre of rotation.
a) A B C is the image of the ABC under a ʼ
ʼ ʼ
ʼ ʼ
i. anti anti-c -clo lock ckwi wise se quarter turn about the origin.
y
D
8
6
A
B
E'
D'
4
C
E
2
F'
G
x –5
F
5
–2
H'
–4
H
I
G'
–6
ii. ii. half half tur turn n abou aboutt the origin.
–8
iii. clockwise clockwise quarter quarter turn about the origin.
I'
3
