Rectangular Coordinate System (I) 8.61
10. The figure on the right shows a rectangular coordinate plane.
(a) Among the points H, K, L, M and N, which three points lie on a
vertical line?
(b) Hence, use the splitting method to find the area of the polygon
HKLMN in the figure.
11. The figure on the right shows a rectangular coordinate plane.
(a) Find the area of trapezium ABCD.
(b) Evans claims that the area of 3ABC is larger than that of
3ACD. Do you agree? Explain your answer.
12. The figure shows a flower bed PQRST in a park. Vincent claims that
the area of 3PST is half of that of the flower bed. Do you agree?
Explain your answer.
Refer to the figure. Find the coordinates of the image formed
after each of the following transformations. [Nos. 13-15]
13. (a) The point P is translated 6 units upwards.
(b) The point P is translated 3 units to the right.
14. (a) The point Q is reflected in the x-axis.
(b) The point Q is reflected in the line l.
15. (a) The point R is rotated clockwise about the origin O
through 90c.
(b) The point R is rotated about the origin O through
180c.
y
x
0
1
-1
-2
-3
-4
1 2
-1-2
M
L
K
H N
y
x
0 4
-2
-4
2
4
-2-4 2
A
B
C
D
Explain
Explain
y
x
-2
2
-2-4 4 6
-4
-6
20 P
T
S
R
Q O
x
y
2
4
6
8
-2
-4
-6
2 4 6
-2-4-6
m
R (4,3 )
Q(-3,1)
P(2,- 4)
3
3
3
4
4
4 Level 0
Level 0
Level 0
(2 , 2)
(-3 , -1)
H, L, M
7 sq. units
42 sq. units yes
(3 , -4)
(-4 , -3)
yes
(5 , -4)
(-3 , 7)