EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Parallel Lines
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
If
k
⟂
l
and
k
⟂
m
, then
l
⟂
m
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
If
k
∥
l
and
l
∥
m
, then
k
∥
m
d)
If two lines are parallel to the same line, then they are perpendicular to each other
e)
If
k
⟂
l
and
l
⟂
m
, then
k
⟂
m
(i)
{a,b}
(ii)
{d,c}
(iii)
{b,c}
(iv)
{e,a,b}
(v)
{d,c,b}
Question
2
2.
In the given figure, it is given that ML ∥ ON , ∠MON = 50° and ∠MLK = 101°. Find the value of x.
(i)
x
=
27°
(ii)
x
=
31°
(iii)
x
=
28°
(iv)
x
=
29°
(v)
x
=
30°
Question
3
3.
In the given figure l ∥ m. Find the value of 'w'
(i)
16
(ii)
13
(iii)
17
(iv)
15
(v)
14
Question
4
4.
Find the value of 'y'
(i)
106°
(ii)
121°
(iii)
101°
(iv)
91°
(v)
96°
Question
5
5.
Find the corresponding angles in the given figure
(i)
∠1 , ∠8 ; ∠2 , ∠7
(ii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠1 , ∠2 , ∠7 , ∠8
(v)
∠3 , ∠6 ; ∠4 , ∠5
Question
6
6.
In the adjoining figure,
BCDE
is a parallelogram and
FG
is such that
FG
∥
BD
If
∠BEF = 21.58°
and
∠DEG = 27.08°
,
find the measure of
∠DEB
.
(i)
131.34°
(ii)
129.34°
(iii)
132.34°
(iv)
133.34°
(v)
130.34°
Question
7
7.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{e,f,g,h,i,j}
(i)
73
°
,
56
°
,
51
°
,
73
°
,
51
°
,
56
°
(ii)
73
°
,
73
°
,
51
°
,
56
°
,
51
°
,
56
°
(iii)
73
°
,
56
°
,
51
°
,
51
°
,
56
°
,
73
°
(iv)
56
°
,
51
°
,
73
°
,
51
°
,
73
°
,
56
°
(v)
73
°
,
51
°
,
56
°
,
73
°
,
51
°
,
56
°
Question
8
8.
Which of the following are true for alternate angles?
a)
They are in the same side of the transversal
b)
One is interior angle and the other is exterior
c)
Both are interior angles
d)
They are not adjacent angles
e)
They are adjacent angles
f)
They are on either side of the transversal
(i)
{b,c,d}
(ii)
{c,d,f}
(iii)
{a,c}
(iv)
{b,d}
(v)
{e,a,f}
Question
9
9.
In the given figure l ∥ m. Find the value of 'y'
(i)
8
(ii)
11
(iii)
9
(iv)
12
(v)
10
Question
10
10.
Find the co-interior angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
11
11.
Find the adjacent 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 , ∠5 ; ∠4 , ∠6
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
12
12.
Which of the following are true for corresponding angles?
a)
They are adjacent angles
b)
They are on either side of the transversal
c)
One is interior angle and the other is exterior angle
d)
They are not adjacent angles
e)
They are on the same side of the transversal
f)
Both are interior angles
(i)
{f,a,e}
(ii)
{c,d,e}
(iii)
{a,c}
(iv)
{b,d}
(v)
{b,c,d}
Question
13
13.
Which of the given figures is correct?
(i)
II
(ii)
I
(iii)
IV
(iv)
III
Question
14
14.
Find the exterior angles in the given figure
(i)
∠3 , ∠5 ; ∠4 , ∠6
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠3 , ∠4 , ∠5 , ∠6
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
15
15.
Find the interior angles in the given figure
(i)
∠1 , ∠2 , ∠7 , ∠8
(ii)
∠3 , ∠6 ; ∠4 , ∠5
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠3 , ∠4 , ∠5 , ∠6
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
16
16.
In the given figure, NO ∥ PQ, ∠KHO = 64° and HI = JH. Find the measure of x.
(i)
x
=
53°
(ii)
x
=
54°
(iii)
x
=
51°
(iv)
x
=
52°
(v)
x
=
50°
Question
17
17.
In which of the figures given bellow, l ∥ m?
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
18
18.
In the given figure l ∥ m. Find the value of 't'
(i)
10
(ii)
11
(iii)
8
(iv)
14
(v)
12
Question
19
19.
Find the exterior alternate angles in the given figure
(i)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(ii)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
20
20.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠1 , ∠2 , ∠7 , ∠8
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
21
21.
If l ∥ m, which of the given figures is correct?
(i)
IV
(ii)
II
(iii)
I
(iv)
III
Question
22
22.
In the given figure l ∥ m. Find the value of 'v'
(i)
13
(ii)
11
(iii)
15
(iv)
12
(v)
9
Question
23
23.
Find the vertically opposite angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
24
24.
In the given figure l ∥ m. Find the value of 's'
(i)
52°
(ii)
72°
(iii)
47°
(iv)
42°
(v)
57°
Question
25
25.
Which of the following are true with respect to lines c , d , e , f where c ∥ d , d ⟂ e , e ⟂ f?
a)
e
∥
f
b)
c
∥
e
c)
d
∥
f
d)
c
⟂
f
e)
c
∥
f
(i)
{d,a,c}
(ii)
{b,e}
(iii)
{a,c}
(iv)
{c,e}
(v)
{b,e,c}
Assignment Key
1) (iii)
2) (iv)
3) (iv)
4) (iv)
5) (ii)
6) (i)
7) (v)
8) (ii)
9) (v)
10) (v)
11) (ii)
12) (ii)
13) (iv)
14) (ii)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (iii)
20) (iii)
21) (i)
22) (iv)
23) (i)
24) (iv)
25) (iv)
