EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Reflection
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Distance of the point (2,5) from x-axis is
(i)
5
(ii)
7
(iii)
2
(iv)
(
−
3
)
(v)
3
Question
2
2.
The coordinates of a point which is 1 unit away from x-axis and 6 units away from y-axis in the first quadrant is
(i)
(
1
,
6
)
(ii)
(
6
,
1
)
(iii)
(
6
,
(
−
1
)
)
(iv)
(
(
−
6
)
,
1
)
(v)
(
(
−
6
)
,
(
−
1
)
)
Question
3
3.
The coordinates of a point which is 5 units away from x-axis and 1 unit away from y-axis in the fourth quadrant is
(i)
(
(
−
5
)
,
1
)
(ii)
(
(
−
1
)
,
5
)
(iii)
(
1
,
(
−
5
)
)
(iv)
(
1
,
5
)
(v)
(
(
−
1
)
,
(
−
5
)
)
Question
4
4.
Find the image of the point
(
0
,
2
)
when reflected in y-axis
(i)
(
0
,
2
)
(ii)
(
1
,
2
)
(iii)
(
2
,
0
)
(iv)
(
0
,
(
−
2
)
)
Question
5
5.
Which of the points (9,6), (-2,8), (-2,-8) and (1,-4) belong to the second quadrant?
(i)
(
1
,
(
−
4
)
)
(ii)
(
9
,
6
)
(iii)
(
(
−
2
)
,
(
−
8
)
)
(iv)
(
(
−
2
)
,
8
)
Question
6
6.
Find the equation of the displayed line
(i)
x
=
(
−
2
)
(ii)
y
=
(
−
2
)
(iii)
x
=
(
−
3
)
(iv)
4
x
=
(
−
2
)
(v)
x
=
(
−
1
)
Question
7
7.
A point lies on positive side of x-axis at a distance of 5 units from y-axis. What are the coordinates of the point?
(i)
(
(
−
5
)
,
0
)
(ii)
(
0
,
5
)
(iii)
(
0
,
(
−
5
)
)
(iv)
(
5
,
0
)
Question
8
8.
Write down the coordinates when reflected in the x-axis
(i)
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
1
)
,
8
)
,
(
3
,
2
)
(ii)
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
3
)
,
6
)
,
(
4
,
1
)
(iii)
(
(
−
6
)
,
(
−
7
)
)
,
(
(
−
3
)
,
6
)
,
(
3
,
2
)
(iv)
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
3
)
,
6
)
,
(
3
,
2
)
(v)
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
3
)
,
6
)
,
(
1
,
0
)
Question
9
9.
Write down the coordinates when reflected in the origin
(i)
(
(
−
1
)
,
(
−
5
)
)
,
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
8
)
,
1
)
,
(
4
,
(
−
6
)
)
(ii)
(
(
−
3
)
,
(
−
7
)
)
,
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
10
)
,
(
−
1
)
)
,
(
4
,
(
−
6
)
)
(iii)
(
(
−
3
)
,
(
−
7
)
)
,
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
7
)
,
0
)
,
(
4
,
(
−
6
)
)
(iv)
(
(
−
3
)
,
(
−
7
)
)
,
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
8
)
,
1
)
,
(
3
,
(
−
5
)
)
(v)
(
(
−
3
)
,
(
−
7
)
)
,
(
(
−
5
)
,
(
−
8
)
)
,
(
(
−
8
)
,
1
)
,
(
4
,
(
−
6
)
)
Question
10
10.
Determine the coordinates of point Q in the diagram.
(i)
(
3
,
(
−
5
)
)
(ii)
(
(
−
5
)
,
(
−
3
)
)
(iii)
(
5
,
3
)
(iv)
(
(
−
5
)
,
3
)
(v)
(
5
,
(
−
3
)
)
Question
11
11.
Find the coordinates of the point
(
(
−
5
)
,
(
−
5
)
)
when reflected in y-axis followed by reflection in origin
(i)
(
(
−
5
)
,
5
)
(ii)
(
5
,
(
−
5
)
)
(iii)
(
(
−
5
)
,
(
−
5
)
)
(iv)
(
5
,
5
)
Question
12
12.
A point lies on negative side of y-axis at a distance of 9 units from x-axis. What are the coordinates of the point?
(i)
(
(
−
9
)
,
0
)
(ii)
(
0
,
9
)
(iii)
(
9
,
0
)
(iv)
(
0
,
(
−
9
)
)
Question
13
13.
Find the coordinates of the reflection
of the point
(
6
,
6
)
in line
(
2
x
+
10
)
=
0
(i)
(
(
−
15
)
,
5
)
(ii)
(
(
−
14
)
,
8
)
(iii)
(
(
−
17
)
,
7
)
(iv)
(
(
−
18
)
,
4
)
(v)
(
(
−
16
)
,
6
)
Question
14
14.
If point P(x,y) lies in the first quadrant, then
(i)
x is positive and y is negative
(ii)
x is negative and y is positive
(iii)
x is positive and y is positive
(iv)
x is negative and y is negative
Question
15
15.
Which of the following is a point on the positive y-axis?
(i)
(
0
,
(
−
9
)
)
(ii)
(
(
−
1
)
,
0
)
(iii)
(
7
,
0
)
(iv)
(
0
,
5
)
(v)
(
(
−
4
)
,
4
)
Question
16
16.
The equation of y-axis is
(i)
y
=
0
(ii)
x
=
0
(iii)
y
=
x
(iv)
y
=
1
(v)
x
=
1
Question
17
17.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
(i)
x
=
y
(ii)
y
=
0
(iii)
y
=
k
(iv)
x
=
k
(v)
x
=
0
Question
18
18.
Write down the coordinates when reflected in the x-axis
(
8
,
(
−
8
)
)
,
(
(
−
2
)
,
6
)
,
(
0
,
1
)
(i)
(
8
,
8
)
,
(
0
,
(
−
4
)
)
,
(
0
,
(
−
1
)
)
(ii)
(
8
,
8
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
(
−
2
)
,
(
−
3
)
)
(iii)
(
8
,
8
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
1
,
(
−
2
)
)
(iv)
(
7
,
9
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
0
,
(
−
1
)
)
(v)
(
8
,
8
)
,
(
(
−
2
)
,
(
−
6
)
)
,
(
0
,
(
−
1
)
)
Question
19
19.
The point
(
1
,
(
−
9
)
)
lies in
(i)
first quadrant
(ii)
second quadrant
(iii)
third quadrant
(iv)
fourth quadrant
Question
20
20.
A point lies on positive side of y-axis at a distance of 3 units from x-axis. What are the coordinates of the point?
(i)
(
3
,
0
)
(ii)
(
0
,
(
−
3
)
)
(iii)
(
0
,
3
)
(iv)
(
(
−
3
)
,
0
)
Question
21
21.
The x-coordinate of a point is also called as
(i)
ordinate
(ii)
origin
(iii)
y-axis
(iv)
x-axis
(v)
abscissa
Question
22
22.
Which of the following points is invariant under reflection in x-axis
(i)
(
(
−
9
)
,
1
)
(ii)
(
(
−
9
)
,
(
−
6
)
)
(iii)
(
(
−
3
)
,
0
)
(iv)
(
8
,
2
)
(v)
(
3
,
(
−
1
)
)
Question
23
23.
Write down the coordinates when reflected in the y-axis
(
3
,
5
)
,
(
4
,
(
−
3
)
)
,
(
1
,
(
−
1
)
)
,
(
(
−
7
)
,
(
−
8
)
)
(i)
(
(
−
3
)
,
5
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
(
−
3
)
,
(
−
3
)
)
,
(
7
,
(
−
8
)
)
(ii)
(
(
−
3
)
,
5
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
6
,
(
−
7
)
)
(iii)
(
(
−
1
)
,
7
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
7
,
(
−
8
)
)
(iv)
(
(
−
3
)
,
5
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
(
−
1
)
,
(
−
1
)
)
,
(
7
,
(
−
8
)
)
(v)
(
(
−
3
)
,
5
)
,
(
(
−
4
)
,
(
−
3
)
)
,
(
0
,
(
−
2
)
)
,
(
7
,
(
−
8
)
)
Question
24
24.
Determine the coordinates of point P in the diagram.
(i)
(
7
,
(
−
7
)
)
(ii)
(
(
−
7
)
,
7
)
(iii)
(
7
,
7
)
(iv)
(
(
−
7
)
,
(
−
7
)
)
Question
25
25.
Find the coordinates of the point
(
7
,
(
−
2
)
)
when reflected in x-axis followed by reflection in y-axis
(i)
(
(
−
7
)
,
(
−
2
)
)
(ii)
(
(
−
7
)
,
2
)
(iii)
(
7
,
2
)
(iv)
(
2
,
(
−
7
)
)
(v)
(
7
,
(
−
2
)
)
Assignment Key
1) (i)
2) (ii)
3) (iii)
4) (i)
5) (iv)
6) (i)
7) (iv)
8) (iv)
9) (v)
10) (iv)
11) (i)
12) (iv)
13) (v)
14) (iii)
15) (iv)
16) (ii)
17) (iii)
18) (v)
19) (iv)
20) (iii)
21) (v)
22) (iii)
23) (iv)
24) (iv)
25) (ii)
