EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Reflection
Grade : ICSE Grade X
License : Non Commercial Use
Question
1
1.
Write down the coordinates when reflected in the origin
(i)
(
1
,
(
−
6
)
)
,
(
3
,
1
)
,
(
7
,
(
−
6
)
)
(ii)
(
0
,
(
−
5
)
)
,
(
3
,
1
)
,
(
9
,
(
−
4
)
)
(iii)
(
1
,
(
−
6
)
)
,
(
3
,
1
)
,
(
10
,
(
−
5
)
)
(iv)
(
1
,
(
−
6
)
)
,
(
3
,
1
)
,
(
9
,
(
−
4
)
)
(v)
(
1
,
(
−
6
)
)
,
(
5
,
3
)
,
(
9
,
(
−
4
)
)
Question
2
2.
Find the equation of the displayed line
(i)
x
=
6
(ii)
x
=
7
(iii)
3
x
=
6
(iv)
y
=
6
(v)
x
=
5
Question
3
3.
If point P(x,y) lies in the first quadrant, then
(i)
x is negative and y is negative
(ii)
x is positive and y is negative
(iii)
x is negative and y is positive
(iv)
x is positive and y is positive
Question
4
4.
Write down the coordinates when reflected in the y-axis
(i)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
2
)
,
9
)
,
(
(
−
6
)
,
(
−
10
)
)
,
(
(
−
5
)
,
(
−
6
)
)
(ii)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
2
)
,
9
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
(
−
5
)
,
(
−
6
)
)
(iii)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
2
)
,
9
)
,
(
(
−
9
)
,
(
−
11
)
)
,
(
(
−
5
)
,
(
−
6
)
)
(iv)
(
(
−
7
)
,
(
−
1
)
)
,
(
(
−
2
)
,
9
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
(
−
6
)
,
(
−
5
)
)
(v)
(
(
−
5
)
,
1
)
,
(
(
−
2
)
,
9
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
(
−
5
)
,
(
−
6
)
)
Question
5
5.
The equation of the x-axis is
a)
y
=
1
b)
y
=
0
c)
x
=
0
d)
x
=
y
e)
x
=
1
(i)
{a,b}
(ii)
{c,b}
(iii)
{b}
(iv)
{d,e,b}
Question
6
6.
Find the coordinates of the reflection
of the point
(
7
,
(
−
4
)
)
in line
(
6
y
−
24
)
=
0
(i)
(
7
,
12
)
(ii)
(
6
,
13
)
(iii)
(
5
,
10
)
(iv)
(
9
,
14
)
(v)
(
8
,
11
)
Question
7
7.
Write down the coordinates when reflected in the x-axis
(
8
,
3
)
,
(
3
,
0
)
,
(
(
−
1
)
,
5
)
,
(
7
,
(
−
7
)
)
(i)
(
8
,
(
−
3
)
)
,
(
3
,
0
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
7
,
7
)
(ii)
(
10
,
(
−
1
)
)
,
(
3
,
0
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
7
,
7
)
(iii)
(
8
,
(
−
3
)
)
,
(
3
,
0
)
,
(
0
,
(
−
6
)
)
,
(
7
,
7
)
(iv)
(
8
,
(
−
3
)
)
,
(
3
,
0
)
,
(
(
−
3
)
,
(
−
7
)
)
,
(
7
,
7
)
(v)
(
8
,
(
−
3
)
)
,
(
3
,
0
)
,
(
(
−
1
)
,
(
−
5
)
)
,
(
6
,
8
)
Question
8
8.
Which of the points (2,1), (-4,9), (-1,-3) and (9,-2) belong to the second quadrant?
(i)
(
9
,
(
−
2
)
)
(ii)
(
(
−
1
)
,
(
−
3
)
)
(iii)
(
(
−
4
)
,
9
)
(iv)
(
2
,
1
)
Question
9
9.
Write down the coordinates when reflected in the origin
(i)
(
6
,
0
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
7
,
(
−
5
)
)
,
(
(
−
1
)
,
2
)
(ii)
(
4
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
7
,
(
−
5
)
)
,
(
(
−
2
)
,
3
)
(iii)
(
4
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
5
,
(
−
7
)
)
,
(
(
−
1
)
,
2
)
(iv)
(
4
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
8
,
(
−
6
)
)
,
(
(
−
1
)
,
2
)
(v)
(
4
,
(
−
2
)
)
,
(
(
−
7
)
,
(
−
9
)
)
,
(
7
,
(
−
5
)
)
,
(
(
−
1
)
,
2
)
Question
10
10.
Find the image of the point A
(
(
−
7
)
,
0
)
under the reflection of a point P
(
1
2
,
(
−
5
2
)
)
(i)
(
9
,
(
−
6
)
)
(ii)
(
6
,
(
−
7
)
)
(iii)
(
10
,
(
−
3
)
)
(iv)
(
8
,
(
−
5
)
)
(v)
(
7
,
(
−
4
)
)
Question
11
11.
Identify the point belonging to the fourth quadrant
(i)
(
1
,
(
−
4
)
)
(ii)
(
(
−
9
)
,
(
−
6
)
)
(iii)
(
2
,
9
)
(iv)
(
(
−
8
)
,
1
)
Question
12
12.
Find the coordinates of the point
(
4
,
7
)
when reflected in y-axis and followed by reflection in x-axis
(i)
(
4
,
(
−
7
)
)
(ii)
(
(
−
4
)
,
(
−
7
)
)
(iii)
(
(
−
4
)
,
7
)
(iv)
(
(
−
7
)
,
(
−
4
)
)
(v)
(
4
,
7
)
Question
13
13.
Find the coordinates of the point
(
2
,
(
−
6
)
)
when reflected in origin followed by reflection in x-axis
(i)
(
(
−
6
)
,
(
−
2
)
)
(ii)
(
2
,
6
)
(iii)
(
(
−
2
)
,
6
)
(iv)
(
2
,
(
−
6
)
)
(v)
(
(
−
2
)
,
(
−
6
)
)
Question
14
14.
Find the image of the point
(
(
−
7
)
,
5
)
when reflected in x-axis
(i)
(
(
−
6
)
,
(
−
5
)
)
(ii)
(
(
−
7
)
,
(
−
5
)
)
(iii)
(
7
,
5
)
(iv)
(
7
,
(
−
5
)
)
(v)
(
(
−
5
)
,
(
−
7
)
)
Question
15
15.
Which of the following is a point on the negative y-axis?
(i)
(
0
,
1
)
(ii)
(
(
−
8
)
,
9
)
(iii)
(
(
−
5
)
,
0
)
(iv)
(
4
,
0
)
(v)
(
0
,
(
−
3
)
)
Question
16
16.
Write down the coordinates when reflected in the x-axis
(
(
−
6
)
,
(
−
1
)
)
,
(
5
,
(
−
1
)
)
,
(
0
,
1
)
(i)
(
(
−
6
)
,
1
)
,
(
5
,
1
)
,
(
1
,
(
−
2
)
)
(ii)
(
(
−
7
)
,
2
)
,
(
5
,
1
)
,
(
0
,
(
−
1
)
)
(iii)
(
(
−
6
)
,
1
)
,
(
5
,
1
)
,
(
(
−
2
)
,
(
−
3
)
)
(iv)
(
(
−
6
)
,
1
)
,
(
7
,
3
)
,
(
0
,
(
−
1
)
)
(v)
(
(
−
6
)
,
1
)
,
(
5
,
1
)
,
(
0
,
(
−
1
)
)
Question
17
17.
Identify the point belonging to the first quadrant
(i)
(
(
−
7
)
,
8
)
(ii)
(
(
−
1
)
,
(
−
6
)
)
(iii)
(
9
,
(
−
6
)
)
(iv)
(
1
,
9
)
Question
18
18.
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)
(
(
−
4
)
,
0
)
(ii)
(
0
,
(
−
4
)
)
(iii)
(
4
,
0
)
(iv)
(
0
,
4
)
Question
19
19.
The equation of y-axis is
(i)
y
=
x
(ii)
y
=
0
(iii)
x
=
0
(iv)
x
=
1
(v)
y
=
1
Question
20
20.
Which of the following is a point on the y-axis?
(i)
(
3
,
2
)
(ii)
(
0
,
8
)
(iii)
(
1
,
(
−
6
)
)
(iv)
(
5
,
0
)
(v)
(
(
−
6
)
,
2
)
Question
21
21.
Determine the coordinates of point Y in the diagram.
(i)
(
(
−
2
)
,
(
−
5
)
)
(ii)
(
2
,
(
−
5
)
)
(iii)
(
2
,
5
)
(iv)
(
(
−
5
)
,
(
−
2
)
)
(v)
(
(
−
2
)
,
5
)
Question
22
22.
Determine the quadrant of the displayed point
(i)
fourth quadrant
(ii)
first quadrant
(iii)
third quadrant
(iv)
second quadrant
Question
23
23.
Write down the coordinates when reflected in the origin
(
9
,
9
)
,
(
7
,
7
)
,
(
(
−
5
)
,
(
−
7
)
)
,
(
(
−
5
)
,
0
)
(i)
(
(
−
9
)
,
(
−
9
)
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
5
,
7
)
,
(
5
,
0
)
(ii)
(
(
−
9
)
,
(
−
9
)
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
6
,
6
)
,
(
5
,
0
)
(iii)
(
(
−
7
)
,
(
−
7
)
)
,
(
5
,
7
)
,
(
5
,
0
)
(iv)
(
(
−
9
)
,
(
−
9
)
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
3
,
5
)
,
(
5
,
0
)
(v)
(
(
−
9
)
,
(
−
9
)
)
,
(
(
−
7
)
,
(
−
7
)
)
,
(
5
,
7
)
,
(
4
,
1
)
Question
24
24.
Determine the coordinates of point D in the diagram.
(i)
(
1
,
(
−
6
)
)
(ii)
(
1
,
6
)
(iii)
(
(
−
1
)
,
(
−
6
)
)
(iv)
(
(
−
1
)
,
6
)
(v)
(
(
−
6
)
,
1
)
Question
25
25.
Any line parallel to x-axis is
(i)
a horizontal line
(ii)
a vertical line
(iii)
a curved line
(iv)
an oblique line
Assignment Key
1) (iv)
2) (i)
3) (iv)
4) (ii)
5) (iii)
6) (i)
7) (i)
8) (iii)
9) (v)
10) (iv)
11) (i)
12) (ii)
13) (v)
14) (ii)
15) (v)
16) (v)
17) (iv)
18) (ii)
19) (iii)
20) (ii)
21) (i)
22) (i)
23) (i)
24) (i)
25) (i)
