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
    • (
      (
      −
      3
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      9
      )
    • ,
    • (
      3
      ,
      0
      )
  • (i)
    • (
      3
      ,
      5
      )
    • ,
    • (
      2
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      5
      )
      ,
      (
      −
      2
      )
      )
  • (ii)
    • (
      3
      ,
      5
      )
    • ,
    • (
      2
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      1
      )
      )
  • (iii)
    • (
      3
      ,
      5
      )
    • ,
    • (
      4
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
  • (iv)
    • (
      2
      ,
      6
      )
    • ,
    • (
      2
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
  • (v)
    • (
      3
      ,
      5
      )
    • ,
    • (
      2
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      0
      )
Question 2
2.
    • Write down the coordinates when reflected in the y-axis
  • (i)
    • (
      (
      −
      4
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      6
      ,
      7
      )
  • (ii)
    • (
      (
      −
      4
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      9
      ,
      8
      )
  • (iii)
    • (
      (
      −
      4
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      8
      ,
      9
      )
  • (iv)
    • (
      (
      −
      5
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      5
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      8
      ,
      9
      )
  • (v)
    • (
      (
      −
      4
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      7
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      8
      ,
      9
      )
Question 3
3.
    • Write down the coordinates when reflected in the origin
  • (i)
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      10
      )
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      3
      ,
      1
      )
  • (ii)
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      2
      ,
      2
      )
  • (iii)
    • (
      9
      ,
      10
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      3
      ,
      1
      )
  • (iv)
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      5
      )
      )
    • ,
    • (
      3
      ,
      1
      )
  • (v)
    • (
      7
      ,
      8
      )
    • ,
    • (
      (
      −
      2
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      (
      −
      6
      )
      )
    • ,
    • (
      3
      ,
      1
      )
Question 4
4.
Any line parallel to y-axis is
  • (i)
    a curved line
  • (ii)
    a vertical line
  • (iii)
    a horizontal line
  • (iv)
    an oblique line
Question 5
5.
If point P(x,y) lies in the second 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 6
6.
Identify the point belonging to the fourth quadrant
  • (i)
    (
    (
    −
    4
    )
    ,
    4
    )
  • (ii)
    (
    9
    ,
    (
    −
    1
    )
    )
  • (iii)
    (
    (
    −
    9
    )
    ,
    (
    −
    7
    )
    )
  • (iv)
    (
    1
    ,
    1
    )
Question 7
7.
Find the equation of the displayed line
  • (i)
    x
    =
    0
  • (ii)
    x
    =
    2
  • (iii)
    y
    =
    1
  • (iv)
    4
    x
    =
    1
  • (v)
    x
    =
    1
Question 8
8.
Identify the point belonging to the first quadrant
  • (i)
    (
    (
    −
    5
    )
    ,
    (
    −
    1
    )
    )
  • (ii)
    (
    1
    ,
    5
    )
  • (iii)
    (
    2
    ,
    (
    −
    7
    )
    )
  • (iv)
    (
    (
    −
    9
    )
    ,
    8
    )
Question 9
9.
Determine the quadrant of the displayed point
  • (i)
    first quadrant
  • (ii)
    fourth quadrant
  • (iii)
    second quadrant
  • (iv)
    third quadrant
Question 10
10.
    • Write down the coordinates when reflected in the origin
  • (i)
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      6
      )
      ,
      (
      −
      2
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
  • (ii)
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      0
      ,
      0
      )
  • (iii)
    • (
      (
      −
      2
      )
      ,
      1
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
  • (iv)
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      1
      )
      ,
      1
      )
  • (v)
    • (
      (
      −
      1
      )
      ,
      0
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      (
      −
      4
      )
      )
    • ,
    • (
      (
      −
      3
      )
      ,
      (
      −
      1
      )
      )
Question 11
11.
Identify the point belonging to the second quadrant
  • (i)
    (
    7
    ,
    9
    )
  • (ii)
    (
    (
    −
    7
    )
    ,
    6
    )
  • (iii)
    (
    (
    −
    1
    )
    ,
    (
    −
    8
    )
    )
  • (iv)
    (
    5
    ,
    (
    −
    8
    )
    )
Question 12
12.
    • Find the coordinates of the point
    • (
      (
      −
      8
      )
      ,
      (
      −
      8
      )
      )
    • when reflected in x-axis followed by reflection in y-axis
  • (i)
    (
    (
    −
    8
    )
    ,
    8
    )
  • (ii)
    (
    8
    ,
    8
    )
  • (iii)
    (
    8
    ,
    (
    −
    8
    )
    )
  • (iv)
    (
    (
    −
    8
    )
    ,
    (
    −
    8
    )
    )
Question 13
13.
A point lies on positive side of y-axis at a distance of 1 units from x-axis. What are the coordinates of the point?
  • (i)
    (
    (
    −
    1
    )
    ,
    0
    )
  • (ii)
    (
    0
    ,
    1
    )
  • (iii)
    (
    0
    ,
    (
    −
    1
    )
    )
  • (iv)
    (
    1
    ,
    0
    )
Question 14
14.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    0
    ,
    0
    )
  • (ii)
    (
    0
    ,
    4
    )
  • (iii)
    (
    1
    ,
    0
    )
  • (iv)
    (
    6
    ,
    0
    )
  • (v)
    (
    1
    ,
    1
    )
Question 15
15.
Distance of the given point from y-axis is
  • (i)
    6
  • (ii)
    7
  • (iii)
    5
  • (iv)
    1
Question 16
16.
Determine the coordinates of point E in the diagram.
  • (i)
    (
    (
    −
    6
    )
    ,
    (
    −
    2
    )
    )
  • (ii)
    (
    (
    −
    6
    )
    ,
    2
    )
  • (iii)
    (
    6
    ,
    (
    −
    2
    )
    )
  • (iv)
    (
    2
    ,
    6
    )
  • (v)
    (
    6
    ,
    2
    )
Question 17
17.
    • Write down the coordinates when reflected in the y-axis
  • (i)
    • (
      8
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      8
      )
      ,
      7
      )
    • ,
    • (
      4
      ,
      (
      −
      6
      )
      )
  • (ii)
    • (
      10
      ,
      (
      −
      7
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      9
      )
      ,
      8
      )
    • ,
    • (
      4
      ,
      (
      −
      6
      )
      )
  • (iii)
    • (
      8
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      9
      )
      ,
      8
      )
    • ,
    • (
      4
      ,
      (
      −
      6
      )
      )
  • (iv)
    • (
      8
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      9
      )
      ,
      8
      )
    • ,
    • (
      3
      ,
      (
      −
      5
      )
      )
  • (v)
    • (
      8
      ,
      (
      −
      9
      )
      )
    • ,
    • (
      (
      −
      7
      )
      ,
      3
      )
    • ,
    • (
      (
      −
      11
      )
      ,
      6
      )
    • ,
    • (
      4
      ,
      (
      −
      6
      )
      )
Question 18
18.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      −
      9
      )
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • P
  • (iv)
      • line with point
      • N
  • (v)
      • line with point
      • Q
Question 19
19.
    • The point
    • (
      1
      ,
      (
      −
      9
      )
      )
    • lies in
  • (i)
    third quadrant
  • (ii)
    first quadrant
  • (iii)
    fourth quadrant
  • (iv)
    second quadrant
Question 20
20.
    • Find the coordinates of the point
    • (
      1
      ,
      (
      −
      7
      )
      )
    • when reflected in x-axis followed by reflection in origin
  • (i)
    (
    (
    −
    1
    )
    ,
    7
    )
  • (ii)
    (
    1
    ,
    7
    )
  • (iii)
    (
    1
    ,
    (
    −
    7
    )
    )
  • (iv)
    (
    (
    −
    1
    )
    ,
    (
    −
    7
    )
    )
  • (v)
    (
    (
    −
    7
    )
    ,
    (
    −
    1
    )
    )
Question 21
21.
The coordinates of a point which is 1 unit away from x-axis and 2 units away from y-axis in the first quadrant is
  • (i)
    (
    2
    ,
    1
    )
  • (ii)
    (
    2
    ,
    (
    −
    1
    )
    )
  • (iii)
    (
    (
    −
    2
    )
    ,
    (
    −
    1
    )
    )
  • (iv)
    (
    1
    ,
    2
    )
  • (v)
    (
    (
    −
    2
    )
    ,
    1
    )
Question 22
22.
Which of the points (9,9), (-9,2), (-2,-5) and (1,-2) belong to the second quadrant?
  • (i)
    (
    9
    ,
    9
    )
  • (ii)
    (
    (
    −
    2
    )
    ,
    (
    −
    5
    )
    )
  • (iii)
    (
    1
    ,
    (
    −
    2
    )
    )
  • (iv)
    (
    (
    −
    9
    )
    ,
    2
    )
Question 23
23.
    • Find the image of the point A
    • (
      3
      ,
      3
      )
    • under the reflection of a point P
    • (
      4
      ,
      9

      2
      )
  • (i)
    (
    6
    ,
    5
    )
  • (ii)
    (
    5
    ,
    6
    )
  • (iii)
    (
    3
    ,
    4
    )
  • (iv)
    (
    4
    ,
    7
    )
  • (v)
    (
    7
    ,
    8
    )
Question 24
24.
The coordinates of a point which is 6 units away from x-axis and 4 units away from y-axis in the third quadrant is
  • (i)
    (
    (
    −
    4
    )
    ,
    (
    −
    6
    )
    )
  • (ii)
    (
    4
    ,
    (
    −
    6
    )
    )
  • (iii)
    (
    4
    ,
    6
    )
  • (iv)
    (
    (
    −
    4
    )
    ,
    6
    )
  • (v)
    (
    (
    −
    6
    )
    ,
    (
    −
    4
    )
    )
Question 25
25.
    • The point
    • (
      (
      −
      5
      )
      ,
      1
      )
    • lies in
  • (i)
    second quadrant
  • (ii)
    third quadrant
  • (iii)
    fourth quadrant
  • (iv)
    first quadrant
    Assignment Key

  •  1) (v)
  •  2) (iii)
  •  3) (iv)
  •  4) (ii)
  •  5) (ii)
  •  6) (ii)
  •  7) (v)
  •  8) (ii)
  •  9) (ii)
  •  10) (iv)
  •  11) (ii)
  •  12) (ii)
  •  13) (ii)
  •  14) (i)
  •  15) (i)
  •  16) (v)
  •  17) (iii)
  •  18) (iv)
  •  19) (iii)
  •  20) (iv)
  •  21) (i)
  •  22) (iv)
  •  23) (ii)
  •  24) (i)
  •  25) (i)