8.52 Chapter 8
5. Refer to the figure.
(a) A point A is translated 3 units to the left to the point B.
Find the coordinates of A.
(b) A point C is translated 2 units downwards to the point D.
Find the coordinates of C.
6. Refer to the figure. A(4 , 2) and B(-3 , 1) are reflected in the
y-axis to points Al and Bl respectively. Find the coordinates of
Al and Bl.
7. Refer to the figure. C(-6 , -2) and D(2 , 1) are reflected in the
x-axis to points Cl and Dl respectively. Find the coordinates of
Cl and Dl.
The figure shows two line segments AB and CD, which meet at the
origin O. Given that AB = CD and OA = OB = OC = OD, find the
coordinates of the images after the following rotations about the
origin O. [Nos. 8-10]
Original point Direction of rotation Angle of rotation
8. A Clockwise 90c
9. B Anticlockwise 180c
10. C Anticlockwise 270c
11. Refer to the figure. E(1 , 3) and F(0 , -2) are rotated anticlockwise
about the origin O through 90c to El and Fl respectively. Find the
coordinates of El and Fl.
12. Refer to the figure. G(3 , 0) and H(-2 , 3) are rotated clockwise
about the origin O through 90c to Gl and Hl respectively. Find the
coordinates of Gl and Hl.
y
x
-2-1 1
1
0
2
3
-1
-2
-3
2 3 4
B
D
y
-4
x
-3-2-1 1
1
0
2
-1
-2
2 3 4
B
A
y
x
-2-4-6 0
2
-2
2 4 6
D
C
y
x
-1
-1
1
2
3
-2
-3
-2-3 321
B
C
A
D
O
➥ Example 17
y
x
-1
-1
1
2
3
-2
-3
-2-3 321
E
O F
y
x
-1
-1
1
2
3
-2
-3
-2-3 3 421
H
O
G
Level 0
Level 0
Level 0
Level 0
Level 0
Level 0
Level 0
2
2
3
3
3
3
3
1
(4 , 3)
(4 , 1)
Al(-4 , 2), Bl(3 , 1)
Cl(-6 , 2), Dl(2 , -1)
(3 , 1)
(1 , -3)
(3 , 1)
El(-3 , 1), Fl(2 , 0)
Gl(0 , -3), Hl(3 , 2)