EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
The following angle represents
  • (i)
    acute angle
  • (ii)
    obtuse angle
  • (iii)
    zero angle
  • (iv)
    straight angle
  • (v)
    reflex angle
Question 2
2.
In which of the figures given bellow, l ∦ m(not parallel)?
  • (i)
    III
  • (ii)
    I
  • (iii)
    II
  • (iv)
    IV
Question 3
3.
In the given figure, a , b , c , d , e , f  are lines in a plane. By looking at the figure, which of the following are true?
a)
    • a
    • is the transversal of
    • c
    • &
    • e
b)
    • d
    • is the transversal of
    • a
    • &
    • b
c)
    • a
    • b
d)
    • a
    • d
e)
    • e
    • is the transversal of
    • c
    • &
    • d
f)
    • f
    • is the transversal of
    • c
    • &
    • a
  • (i)
    {a,f,b}
  • (ii)
    {b,c,e,f}
  • (iii)
    {d,c}
  • (iv)
    {a,b}
  • (v)
    {a,d,e}
Question 4
4.
In the given figure l ∥ m. Find the value of 't'
  • (i)
    10
  • (ii)
    12
  • (iii)
    8
  • (iv)
    7
  • (v)
    9
Question 5
5.
    • Consider the following figure
    • SG
    • .
    • State which of the following statements are true?
a)
S,Z,E,G,V are points on the line
SG
b)
S,G are end points of line segment
 


SG
 
 
c)
S,G are points on the line segment
 


ZV
 
 
d)
E,V are end points of line segment
 


VS
 
 
e)
S,G are end points of line segment
 


ZV
 
 
  • (i)
    {e,c,a}
  • (ii)
    {d,b}
  • (iii)
    {a,b}
  • (iv)
    {c,a}
  • (v)
    {d,b,a}
Question 6
6.
Multiple lines which do not meet each other are called
  • (i)
    intersecting lines
  • (ii)
    perpendicular lines
  • (iii)
    parallel lines
  • (iv)
    coplanar lines
  • (v)
    concurrent lines
Question 7
7.
Which of the following is an acute angle?
  • (i)
  • (ii)
    163°
  • (iii)
    360°
  • (iv)
    180°
  • (v)
    72°
Question 8
8.
    • The representation
    • AB
    • indicates
  • (i)
    arc
  • (ii)
    line segment
  • (iii)
    angle
  • (iv)
    ray
  • (v)
    line
Question 9
9.
Find the adjacent angles in the given figure
  • (i)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (ii)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (iii)
    ∠1 , ∠2 , ∠7 , ∠8
  • (iv)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (v)
    ∠3 , ∠4 , ∠5 , ∠6
Question 10
10.
Find the value of b in the figure below
  • (i)
    15
  • (ii)
    16
  • (iii)
    13
  • (iv)
    14
  • (v)
    11
Question 11
11.
Which of the following is a reflex angle?
  • (i)
    31°
  • (ii)
    90°
  • (iii)
    360°
  • (iv)
    313°
  • (v)
Question 12
12.
Find the corresponding angles in the given figure
  • (i)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (ii)
    ∠1 , ∠2 , ∠7 , ∠8
  • (iii)
    ∠3 , ∠4 , ∠5 , ∠6
  • (iv)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
  • (v)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question 13
13.
Which of the following points are collinear?
a)
    • L
    • ,
    • M
    • ,
    • J
b)
    • M
    • ,
    • L
    • ,
    • K
c)
    • I
    • ,
    • M
    • ,
    • K
d)
    • J
    • ,
    • M
    • ,
    • K
e)
    • K
    • ,
    • M
    • ,
    • L
  • (i)
    {b,a}
  • (ii)
    {a,c}
  • (iii)
    {d,c,a}
  • (iv)
    {e,b,a}
  • (v)
    {d,c}
Question 14
14.
The name of the given angle is
  • (i)
    △POQ
  • (ii)
    ∠PQ
  • (iii)
    ∠POQ
  • (iv)
    ∠PQO
  • (v)
    ∠QPO
Question 15
15.
Find the vertically opposite angles in the given figure
  • (i)
    ∠3 , ∠4 , ∠5 , ∠6
  • (ii)
    ∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
  • (iii)
    ∠3 , ∠5 ; ∠4 , ∠6
  • (iv)
    ∠3 , ∠6 ; ∠4 , ∠5
  • (v)
    ∠1 , ∠8 ; ∠2 , ∠7
Question 16
16.
In which of the figures given bellow, l ∥ m?
  • (i)
    II
  • (ii)
    I
  • (iii)
    IV
  • (iv)
    III
Question 17
17.
In the given figure l ∥ m. Find the value of 'z'
  • (i)
    69°
  • (ii)
    89°
  • (iii)
    74°
  • (iv)
    59°
  • (v)
    64°
Question 18
18.
    • The complementary angle of
    • 34°
    • is
  • (i)
    71°
  • (ii)
    61°
  • (iii)
    66°
  • (iv)
    56°
  • (v)
    86°
Question 19
19.
Which of the given figures is wrong?
  • (i)
    II
  • (ii)
    I
  • (iii)
    IV
  • (iv)
    III
Question 20
20.
Which of the given figures is correct?
  • (i)
    I
  • (ii)
    II
  • (iii)
    IV
  • (iv)
    III
Question 21
21.
A line that intersects two lines at two different points is called
  • (i)
    concurrent lines
  • (ii)
    parallel lines
  • (iii)
    coplanar lines
  • (iv)
    transversal
  • (v)
    perpendicular lines
Question 22
22.
The following angle represents
  • (i)
    obtuse angle
  • (ii)
    reflex angle
  • (iii)
    complete angle
  • (iv)
    right angle
  • (v)
    straight angle
Question 23
23.
Identify the figure below
  • (i)
    hexagon
  • (ii)
    circle
  • (iii)
    decagon
  • (iv)
    line
  • (v)
    triangle
Question 24
24.
    • Which of the following pairs of angles are supplementary?
  • (i)
      • 76 °   25 '   41 "
      • ,
      • 103 °   24 '   19 "
  • (ii)
      • 76 °   15 '   41 "
      • ,
      • 103 °   54 '   19 "
  • (iii)
      • 76 °   5 '   41 "
      • ,
      • 103 °   44 '   19 "
  • (iv)
      • 76 °   15 '   41 "
      • ,
      • 103 °   44 '   19 "
  • (v)
      • 76 °   15 '   41 "
      • ,
      • 103 °   34 '   19 "
Question 25
25.
    • In the given figure,
    • l ∥ m
    • and
    • n ∥ o
    • and
    • p ∥ q
    • .
    • Find the values of
    • {c,d,e,f,g,h}
  • (i)
    89
    °
    ,
    54
    °
    ,
    89
    °
    ,
    54
    °
    ,
    37
    °
    ,
    37
    °
  • (ii)
    37
    °
    ,
    89
    °
    ,
    54
    °
    ,
    89
    °
    ,
    54
    °
    ,
    37
    °
  • (iii)
    54
    °
    ,
    37
    °
    ,
    89
    °
    ,
    54
    °
    ,
    37
    °
    ,
    89
    °
  • (iv)
    54
    °
    ,
    89
    °
    ,
    54
    °
    ,
    37
    °
    ,
    89
    °
    ,
    37
    °
  • (v)
    37
    °
    ,
    37
    °
    ,
    89
    °
    ,
    89
    °
    ,
    54
    °
    ,
    54
    °
    Assignment Key

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