EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
Find the value of 'f' in the following figure
  • (i)
    11
  • (ii)
    10
  • (iii)
    8
  • (iv)
    13
  • (v)
    9
Question 2
2.
Identify the figure below
  • (i)
    nonagon
  • (ii)
    quadrilateral
  • (iii)
    octagon
  • (iv)
    triangle
  • (v)
    line
Question 3
3.
Which of the following are true?
a)
A straight line meets another straight line at atmost one point
b)
If a line cuts another line at more than one point, then one of the line is curved
c)
If two lines have infinite common points, then the two lines are concurrent
d)
If two lines have no common point, then the lines are parallel
e)
Only one straight line can be drawn between any two points
  • (i)
    {c,e,a}
  • (ii)
    {a,b,d,e}
  • (iii)
    {c,a}
  • (iv)
    {c,d}
  • (v)
    {c,b}
Question 4
4.
Which of the following are true?
a)
    • If
    •  
    • w
    • x
    •  
    • and
    •  
    • x
    • y
    •  
    • , then
    •  
    • w
    • y
b)
    • If
    •  
    • w
    • x
    •  
    • and
    •  
    • x
    • y
    •  
    • , then
    •  
    • w
    • y
c)
    • If
    •  
    • w
    • x
    •  
    • and
    •  
    • w
    • y
    •  
    • , then
    •  
    • x
    • y
d)
If two lines are parallel to the same line, then they are perpendicular to each other
e)
If two lines are parallel to the same line, then they are parallel to each other
  • (i)
    {b,a}
  • (ii)
    {c,e}
  • (iii)
    {c,e,a}
  • (iv)
    {d,b,a}
  • (v)
    {a,e}
Question 5
5.
Which of the following are true for alternate angles?
a)
They are on either side of the transversal
b)
They are in the same side of the transversal
c)
Both are interior angles
d)
They are not adjacent angles
e)
They are adjacent angles
f)
One is interior angle and the other is exterior
  • (i)
    {f,b,d}
  • (ii)
    {a,c,d}
  • (iii)
    {e,c}
  • (iv)
    {e,a,c}
  • (v)
    {b,a}
Question 6
6.
    • Points lying on the same line are called
  • (i)
    non-linear points
  • (ii)
    linear points
  • (iii)
    concurrent points
  • (iv)
    semi-linear points
  • (v)
    collinear points
Question 7
7.
The following angle represents
  • (i)
    zero angle
  • (ii)
    acute angle
  • (iii)
    complete angle
  • (iv)
    obtuse angle
  • (v)
    straight angle
Question 8
8.
Which of the following is a complete angle?
  • (i)
  • (ii)
    254°
  • (iii)
    360°
  • (iv)
    90°
  • (v)
    180°
Question 9
9.
Two lines meeting at a point and making an angle of 90° at the meeting point are called
  • (i)
    parallel lines
  • (ii)
    concurrent lines
  • (iii)
    perpendicular lines
  • (iv)
    coplanar lines
  • (v)
    intersecting lines
Question 10
10.
The following angle represents
  • (i)
    complete angle
  • (ii)
    obtuse angle
  • (iii)
    acute angle
  • (iv)
    right angle
  • (v)
    straight angle
Question 11
11.
Identify the figure below
  • (i)
    nonagon
  • (ii)
    quadrilateral
  • (iii)
    circle
  • (iv)
    hexagon
  • (v)
    pentagon
Question 12
12.
Which of the following is a straight angle?
  • (i)
    57°
  • (ii)
    276°
  • (iii)
    90°
  • (iv)
    180°
  • (v)
    132°
Question 13
13.
    • In the given figure,
    • l ∥ m
    • and
    • n ∥ o
    • and
    • p ∥ q
    • .
    • Find the values of
    • {b,c,d,e,f,g}
  • (i)
    53
    °
    ,
    64
    °
    ,
    53
    °
    ,
    63
    °
    ,
    64
    °
    ,
    63
    °
  • (ii)
    63
    °
    ,
    53
    °
    ,
    64
    °
    ,
    63
    °
    ,
    53
    °
    ,
    64
    °
  • (iii)
    64
    °
    ,
    63
    °
    ,
    64
    °
    ,
    53
    °
    ,
    63
    °
    ,
    53
    °
  • (iv)
    64
    °
    ,
    64
    °
    ,
    63
    °
    ,
    53
    °
    ,
    63
    °
    ,
    53
    °
  • (v)
    53
    °
    ,
    64
    °
    ,
    63
    °
    ,
    53
    °
    ,
    64
    °
    ,
    63
    °
Question 14
14.
Find the corresponding angles in the given figure
  • (i)
    ∠1 , ∠8 ; ∠2 , ∠7
  • (ii)
    ∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
  • (iii)
    ∠3 , ∠4 , ∠5 , ∠6
  • (iv)
    ∠1 , ∠2 , ∠7 , ∠8
  • (v)
    ∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question 15
15.
In the given figurel ∥ m. Find the value of 'x'
  • (i)
    42°
  • (ii)
    52°
  • (iii)
    72°
  • (iv)
    57°
  • (v)
    47°
Question 16
16.
Which of the following is a reflex angle?
  • (i)
  • (ii)
    180°
  • (iii)
    132°
  • (iv)
    90°
  • (v)
    348°
Question 17
17.
The following angle represents
  • (i)
    zero angle
  • (ii)
    right angle
  • (iii)
    acute angle
  • (iv)
    complete angle
  • (v)
    reflex angle
Question 18
18.
In which of the figures given bellow, l ∥ m?
  • (i)
    II
  • (ii)
    III
  • (iii)
    I
  • (iv)
    IV
Question 19
19.
Which of the following are true?
a)
The length of a line segment cannot be determined
b)
A line has an infinite number of points on it
c)
Capital letters are used to represent points
d)
Small letters are used to represent lines
e)
A ray has an infinite number of points on it
  • (i)
    {b,c,d,e}
  • (ii)
    {a,e,b}
  • (iii)
    {a,b}
  • (iv)
    {a,c}
  • (v)
    {a,d}
Question 20
20.
In the given figure, e , f , g , h , i , j  are lines in a plane. By looking at the figure, which of the following are true?
a)
    • e
    • h
b)
    • h
    • is the transversal of
    • e
    • &
    • f
c)
    • j
    • is the transversal of
    • g
    • &
    • e
d)
    • e
    • is the transversal of
    • g
    • &
    • i
e)
    • i
    • is the transversal of
    • g
    • &
    • h
f)
    • e
    • f
  • (i)
    {a,d,e}
  • (ii)
    {a,b}
  • (iii)
    {a,f,b}
  • (iv)
    {d,c}
  • (v)
    {b,c,e,f}
Question 21
21.
    • Find the supplementary angles pair in the following
  • (i)
    124°,76°
  • (ii)
    154°,96°
  • (iii)
    114°,66°
  • (iv)
    104°,66°
  • (v)
    144°,86°
Question 22
22.
    • The representation
    •  


      BC
       
       
    • indicates
  • (i)
    line segment
  • (ii)
    ray
  • (iii)
    arc
  • (iv)
    angle
  • (v)
    line
Question 23
23.
A line that intersects two lines at two different points is called
  • (i)
    coplanar lines
  • (ii)
    concurrent lines
  • (iii)
    transversal
  • (iv)
    parallel lines
  • (v)
    perpendicular lines
Question 24
24.
The following angle represents
  • (i)
    acute angle
  • (ii)
    reflex angle
  • (iii)
    obtuse angle
  • (iv)
    right angle
  • (v)
    zero angle
Question 25
25.
Which of the following angles form a linear pair?
  • (i)
    (∠DOE,∠EOF)
  • (ii)
    (∠COD,∠DOE)
  • (iii)
    (∠AOB,∠BOC)
  • (iv)
    (∠EOF,∠FOA)
  • (v)
    (∠BOC,∠COD)
    Assignment Key

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