Rectangular Coordinate System (I) 8.67
Multiple-choice Questions
47. Which of the following points lie on the
same horizontal line in a rectangular
coordinate plane?
R(1 , -2), S(1 , 5), T(-3 , -2), U(0 , -2),
V(0 , 2), W(1 , -3).
A. R and S
B. U and V
C. R, S and W
D. R, T and U
48. In the figure, TU is a horizontal line while VU
is a vertical line. Find the coordinates of U.
A. (5 , -8)
B. (3 , -4)
C. (-4 , 3)
D. (-8 , 5)
49. In the figure, ABCD is a parallelogram. Find
the coordinates of point A.
A. (-4 , 2)
B. (-4 , 6)
C. (-2 , 2)
D. (-2 , 4)
50. A(-3 , -4) and B(-3 , 3) are two points in
a rectangular coordinate plane. Which of the
following statements is true?
A. The origin is a point on AB.
B. AB is a horizontal line.
C. A and B both lie below the x-axis.
D. The distance between A and B is 7 units.
51. In the figure, EFGH is a rectangle whose
sides are either horizontal or vertical. Find
the area of rectangle EFGH.
A. 11 sq. units
B. 22 sq. units
C. 30 sq. units
D. 36 sq. units
52. In the figure, ABCD is a square. Which of
the following is/are true?
I. Coordinates of D = (6 , 7)
II. Perimeter of ABCD = 13 units
III. Area of ABCD = 169 sq. units
A. I only
B. III only
C. I and II only
D. II and III only
53. A point (3 , -6) is rotated clockwise about
the origin through 270c. The coordinates of
its image are
A. (3 , 6).
B. (-3 , 6).
C. (6 , 3).
D. (-6 , -3).
54. If P(-1 , 5) is transformed to Q(1 , -5),
then the possible transformation is the
A. reflection in the x-axis.
B. reflection in the y-axis.
C. rotation about the origin through 180c.
D. rotation anticlockwise about the origin
through 90c.
U
V(3,5)
T(-8,-4)
y
x
Oy
x
D(2,6)
C(2,-2)
B(-4,-6)
A
O
y
x
H
G (2,-2)
F
E (- 4,3)
O y
x
O
A(-5,7)
B(- 5,-6) C
D
2
2
2
5
3
5
4
4
MC Power-Up Practice 8