EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Fundamental Geometrical Concepts
Grade : ICSE Grade VI
License : Non Commercial Use
Question 1
1.
Which of the following are true?
a)
Small letters are used to represent lines
b)
The length of a line segment cannot be determined
c)
A line has an infinite number of points on it
d)
Capital letters are used to represent points
e)
A ray has an infinite number of points on it
  • (i)
    {b,d}
  • (ii)
    {b,c}
  • (iii)
    {a,c,d,e}
  • (iv)
    {b,a}
  • (v)
    {b,e,a}
Question 2
2.
The name of the quadrilateral is
  • (i)
    GIJH
  • (ii)
    GHIK
  • (iii)
    GIHJ
  • (iv)
    GHJK
  • (v)
    GHIJ
Question 3
3.
Which of the given figures is correct?
  • (i)
    I
  • (ii)
    II
  • (iii)
    IV
  • (iv)
    III
Question 4
4.
Multiple lines which pass through the same point are called
  • (i)
    parallel lines
  • (ii)
    concurrent lines
  • (iii)
    perpendicular lines
  • (iv)
    coplanar lines
  • (v)
    intersecting lines
Question 5
5.
Multiple lines which do not meet each other are called
  • (i)
    concurrent lines
  • (ii)
    parallel lines
  • (iii)
    intersecting lines
  • (iv)
    perpendicular lines
  • (v)
    coplanar lines
Question 6
6.
How many sides does a quadrilateral have?
  • (i)
    4
  • (ii)
    5
  • (iii)
    2
  • (iv)
    6
  • (v)
    3
Question 7
7.
    • The side opposite to the vertex
    • M
  • (i)
     


    PN
     
     
  • (ii)
     


    MQ
     
     
  • (iii)
     


    MN
     
     
  • (iv)
     


    NO
     
     
  • (v)
     


    OM
     
     
Question 8
8.
    • Consider the following figure
    • SV
    • .
    • State which of the following statements are true?
a)
S,V are end points of line segment
 


SV
 
 
b)
S,V are points on the line segment
 


XM
 
 
c)
S,V are end points of line segment
 


XM
 
 
d)
S,X,K,V,M are points on the line
SV
e)
K,M are end points of line segment
 


MS
 
 
  • (i)
    {a,d}
  • (ii)
    {c,d}
  • (iii)
    {b,a}
  • (iv)
    {c,d,a}
  • (v)
    {e,b,a}
Question 9
9.
The following lines represent
  • (i)
    intersecting lines
  • (ii)
    perpendicular lines
  • (iii)
    concurrent lines
  • (iv)
    parallel lines
  • (v)
    coplanar lines
Question 10
10.
The angles of the quadrilateral are
  • (i)
    ∠H , ∠I , ∠J , ∠L
  • (ii)
    ∠H , ∠I , ∠J , ∠M
  • (iii)
    ∠H , ∠I , ∠J , ∠K
  • (iv)
    ∠H , ∠I , ∠K , ∠M
  • (v)
    ∠H , ∠I , ∠K , ∠L
Question 11
11.
A polygon with 3 sides is called a
  • (i)
    triangle
  • (ii)
    pentagon
  • (iii)
    octagon
  • (iv)
    nonagon
  • (v)
    quadrilateral
Question 12
12.
    • The side opposite to the vertex
    • O
  • (i)
     


    MN
     
     
  • (ii)
     


    NO
     
     
  • (iii)
     


    PN
     
     
  • (iv)
     


    MQ
     
     
  • (v)
     


    OM
     
     
Question 13
13.
    • Every simple closed curve divides a plane into how many sets of points?
  • (i)
    5
  • (ii)
    1
  • (iii)
    2
  • (iv)
    3
  • (v)
    4
Question 14
14.
Which of the following are true?
a)
A straight line meets another straight line at atmost one point
b)
If two lines have no common point, then the lines are parallel
c)
If a line cuts another line at more than one point, then one of the line is curved
d)
If two lines have infinite common points, then the two lines are concurrent
e)
Only one straight line can be drawn between any two points
  • (i)
    {d,a}
  • (ii)
    {d,b}
  • (iii)
    {a,b,c,e}
  • (iv)
    {d,c}
  • (v)
    {d,e,a}
Question 15
15.
Identify the figure below
  • (i)
    octagon
  • (ii)
    nonagon
  • (iii)
    hexagon
  • (iv)
    quadrilateral
  • (v)
    circle
Question 16
16.
Which of the following points are collinear?
a)
    • J
    • ,
    • L
    • ,
    • K
b)
    • I
    • ,
    • L
    • ,
    • J
c)
    • L
    • ,
    • K
    • ,
    • J
d)
    • K
    • ,
    • L
    • ,
    • I
e)
    • H
    • ,
    • L
    • ,
    • J
  • (i)
    {c,a,d}
  • (ii)
    {b,e,d}
  • (iii)
    {b,e}
  • (iv)
    {d,e}
  • (v)
    {a,d}
Question 17
17.
In the given figure, g , h , i , j , k , l  are lines in a plane. By looking at the figure, which of the following are true?
a)
    • g
    • j
b)
    • j
    • is the transversal of
    • g
    • &
    • h
c)
    • g
    • is the transversal of
    • i
    • &
    • k
d)
    • l
    • is the transversal of
    • i
    • &
    • g
e)
    • k
    • is the transversal of
    • i
    • &
    • j
f)
    • g
    • h
  • (i)
    {b,d,e,f}
  • (ii)
    {a,b}
  • (iii)
    {a,f,b}
  • (iv)
    {c,d}
  • (v)
    {a,c,e}
Question 18
18.
Which of the following figures represent a line?
  • (i)
    fig 3
  • (ii)
    fig 2
  • (iii)
    fig 1
Question 19
19.
The following lines represent
  • (i)
    intersecting lines
  • (ii)
    perpendicular lines
  • (iii)
    parallel lines
  • (iv)
    concurrent lines
  • (v)
    coplanar lines
Question 20
20.
Which of the following are true with respect to lines  a , b , c , d  where  a ∥ b , b ⟂ c , c ⟂ d?
a)
    • b
    • d
b)
    • a
    • d
c)
    • a
    • d
d)
    • a
    • c
e)
    • c
    • d
  • (i)
    {c,a}
  • (ii)
    {e,c,a}
  • (iii)
    {d,b}
  • (iv)
    {a,b}
  • (v)
    {d,b,a}
Question 21
21.
    • The sides of the triangle are
  • (i)
     


    GH
     
     
    ,
     


    HF
     
     
    ,
     


    FG
     
     
  • (ii)
     


    HI
     
     
    ,
     


    IG
     
     
    ,
     


    GH
     
     
  • (iii)
     


    IJ
     
     
    ,
     


    JH
     
     
    ,
     


    HI
     
     
  • (iv)
     


    HJ
     
     
    ,
     


    JG
     
     
    ,
     


    GH
     
     
  • (v)
     


    GI
     
     
    ,
     


    IF
     
     
    ,
     


    FG
     
     
Question 22
22.
Which of the following are true?
a)
If two lines are parallel to the same line, then they are perpendicular to each other
b)
    • If
    •  
    • b
    • c
    •  
    • and
    •  
    • c
    • d
    •  
    • , then
    •  
    • b
    • d
c)
    • If
    •  
    • b
    • c
    •  
    • and
    •  
    • b
    • d
    •  
    • , then
    •  
    • c
    • d
d)
    • If
    •  
    • b
    • c
    •  
    • and
    •  
    • c
    • d
    •  
    • , then
    •  
    • b
    • d
e)
If two lines are parallel to the same line, then they are parallel to each other
  • (i)
    {b,e}
  • (ii)
    {c,a,d}
  • (iii)
    {b,e,d}
  • (iv)
    {a,d}
  • (v)
    {d,e}
Question 23
23.
    • The centre of the circle is
  • (i)
    N
  • (ii)
    L
  • (iii)
    M
  • (iv)
    Q
  • (v)
    O
Question 24
24.
    • In the figure below, if
    • AB
    • =
    • 4.60 cm
    • and
    • BC
    • =
    • 13.10 cm
    • ,find
    • AC
    • = ?
  • (i)
    15.70 cm
  • (ii)
    16.70 cm
  • (iii)
    19.70 cm
  • (iv)
    18.70 cm
  • (v)
    17.70 cm
Question 25
25.
Identify the figure below
  • (i)
    parallelogram
  • (ii)
    square
  • (iii)
    rhombus
  • (iv)
    kite
  • (v)
    trapezium
    Assignment Key

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