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