EduSahara™ Assignment
Name : Parallel Lines and Transversal
Chapter : Parallel Lines
Grade : ICSE Grade VI
License : Non Commercial Use
Question
1
1.
Find the adjacent angles in the given figure
(i)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(ii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
2
2.
Find the vertically opposite angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question
3
3.
Find the interior angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
4
4.
Find the exterior angles in the given figure
(i)
∠3 , ∠6 ; ∠4 , ∠5
(ii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠3 , ∠5 ; ∠4 , ∠6
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
5
5.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠2 , ∠7 , ∠8
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
6
6.
Find the exterior alternate angles in the given figure
(i)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠1 , ∠2 , ∠7 , ∠8
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
7
7.
Find the corresponding angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠3 , ∠6 ; ∠4 , ∠5
Question
8
8.
Find the co-interior angles in the given figure
(i)
∠3 , ∠6 ; ∠4 , ∠5
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
9
9.
Find the value of 'p'
(i)
109°
(ii)
129°
(iii)
114°
(iv)
99°
(v)
104°
Question
10
10.
In the given figure l ∥ m. Find the value of 'u'
(i)
6
(ii)
10
(iii)
8
(iv)
9
(v)
12
Question
11
11.
In the given figure l ∥ m. Find the value of 'y'
(i)
42
(ii)
44
(iii)
47
(iv)
46
(v)
45
Question
12
12.
In the given figure l ∥ m. Find the value of 'x'
(i)
10
(ii)
9
(iii)
11
(iv)
8
(v)
13
Question
13
13.
In the given figure l ∥ m. Find the value of 'w'
(i)
10
(ii)
13
(iii)
9
(iv)
7
(v)
11
Question
14
14.
In the given figure l ∥ m. Find the value of 'r'
(i)
12
(ii)
11
(iii)
9
(iv)
14
(v)
10
Question
15
15.
In the given figure l ∥ m. Find the value of 'q'
(i)
55°
(ii)
50°
(iii)
60°
(iv)
75°
(v)
45°
Question
16
16.
In the given figurel ∥ m. Find the value of 'w'
(i)
54°
(ii)
64°
(iii)
49°
(iv)
79°
(v)
59°
Question
17
17.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{c,d,e,f,g,h}
(i)
82
°
,
82
°
,
39
°
,
59
°
,
59
°
,
39
°
(ii)
82
°
,
59
°
,
59
°
,
39
°
,
39
°
,
82
°
(iii)
39
°
,
59
°
,
82
°
,
39
°
,
59
°
,
82
°
(iv)
82
°
,
39
°
,
59
°
,
39
°
,
82
°
,
59
°
(v)
39
°
,
59
°
,
82
°
,
39
°
,
82
°
,
59
°
Question
18
18.
In the given figure, OP ∥ QR, ∠FCP = 58° and CD = EC. Find the measure of x.
(i)
x
=
64°
(ii)
x
=
63°
(iii)
x
=
66°
(iv)
x
=
65°
(v)
x
=
62°
Question
19
19.
In the given figure, AB ∥ CD and AC = CE. Find the values of x,y and z.
(i)
x
=
32°
,
y
=
69°
,
z
=
40°
(ii)
x
=
28°
,
y
=
69°
,
z
=
44°
(iii)
x
=
30°
,
y
=
69°
,
z
=
42°
(iv)
x
=
30°
,
y
=
67°
,
z
=
44°
(v)
x
=
28°
,
y
=
71°
,
z
=
42°
Question
20
20.
In the following figure IJ ∥ LK, find the values of x and y.
(i)
x
=
22°
,
y
=
136°
(ii)
x
=
23°
,
y
=
137°
(iii)
x
=
20°
,
y
=
134°
(iv)
x
=
24°
,
y
=
138°
(v)
x
=
21°
,
y
=
135°
Question
21
21.
In the given figure, it is given that ED ∥ GF , ∠EGF = 67° and ∠EDC = 85°. Find the value of x.
(i)
x
=
27°
(ii)
x
=
26°
(iii)
x
=
28°
(iv)
x
=
29°
(v)
x
=
30°
Question
22
22.
In the adjoining figure, side HI of parallelogram GHIJ has been produced to K. If ∠JIK = 137.35° , find the measure of each angle of the parallelogram.
(i)
G
=
43.65°
,
H
=
136.35°
,
I
=
44.65°
,
J
=
135.35°
(ii)
G
=
40.65°
,
H
=
139.35°
,
I
=
41.65°
,
J
=
138.35°
(iii)
G
=
42.65°
,
H
=
137.35°
,
I
=
42.65°
,
J
=
137.35°
(iv)
G
=
44.65°
,
H
=
136.35°
,
I
=
40.65°
,
J
=
138.35°
(v)
G
=
41.65°
,
H
=
135.35°
,
I
=
43.65°
,
J
=
139.35°
Question
23
23.
In the adjoining figure,
OPQR
is a parallelogram and
ST
is such that
ST
∥
OQ
If
∠ORS = 51.38°
and
∠QRT = 47.26°
,
find the measure of
∠OPQ
.
(i)
81.36°
(ii)
80.36°
(iii)
79.36°
(iv)
83.36°
(v)
82.36°
Question
24
24.
Which of the following are true for alternate angles?
a)
One is interior angle and the other is exterior
b)
They are adjacent angles
c)
They are not adjacent angles
d)
Both are interior angles
e)
They are on either side of the transversal
f)
They are in the same side of the transversal
(i)
{f,a,e}
(ii)
{a,c}
(iii)
{b,c,d}
(iv)
{c,d,e}
(v)
{b,d}
Question
25
25.
Which of the following are true for corresponding angles?
a)
They are not adjacent angles
b)
Both are interior angles
c)
One is interior angle and the other is exterior angle
d)
They are adjacent angles
e)
They are on the same side of the transversal
f)
They are on either side of the transversal
(i)
{d,a,c}
(ii)
{f,b,e}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c,e}
Question
26
26.
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
m
∥
n
and
n
∥
o
, then
m
∥
o
c)
If
m
⟂
n
and
m
⟂
o
, then
n
⟂
o
d)
If
m
⟂
n
and
n
⟂
o
, then
m
⟂
o
e)
If two lines are parallel to the same line, then they are parallel to each other
(i)
{c,e,b}
(ii)
{b,e}
(iii)
{c,e}
(iv)
{a,b}
(v)
{d,a,b}
Question
27
27.
In the given figure, p , q , r , s , t , u are lines in a plane. By looking at the figure, which of the following are true?
a)
p
∥
q
b)
p
is the transversal of
r
&
t
c)
s
is the transversal of
p
&
q
d)
p
∥
s
e)
u
is the transversal of
r
&
p
f)
t
is the transversal of
r
&
s
(i)
{b,d,e}
(ii)
{b,f,a}
(iii)
{d,c}
(iv)
{b,a}
(v)
{a,c,e,f}
Question
28
28.
Which of the following are true with respect to lines c , d , e , f where c ∥ d , d ⟂ e , e ⟂ f?
a)
d
∥
f
b)
c
∥
f
c)
e
∥
f
d)
c
∥
e
e)
c
⟂
f
(i)
{d,b,a}
(ii)
{a,b}
(iii)
{c,a}
(iv)
{d,b}
(v)
{e,c,a}
Question
29
29.
Which of the given figures is correct?
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
30
30.
Which of the given figures is wrong?
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
31
31.
In which of the figures given bellow, l ∥ m?
(i)
I
(ii)
IV
(iii)
II
(iv)
III
Question
32
32.
In which of the figures given bellow, l ∦ m(not parallel)?
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Question
33
33.
If l ∥ m, which of the given figures is correct?
(i)
II
(ii)
III
(iii)
I
(iv)
IV
Assignment Key
1) (ii)
2) (i)
3) (v)
4) (iii)
5) (iv)
6) (ii)
7) (ii)
8) (ii)
9) (iv)
10) (iv)
11) (v)
12) (i)
13) (i)
14) (ii)
15) (v)
16) (iii)
17) (iii)
18) (i)
19) (iii)
20) (i)
21) (iii)
22) (iii)
23) (i)
24) (iv)
25) (v)
26) (ii)
27) (v)
28) (ii)
29) (iv)
30) (iv)
31) (ii)
32) (iii)
33) (iii)
