EduSahara™ Assignment
Name : Parallel Lines and Transversal
Chapter : Lines and Angles
Grade : CBSE Grade VII
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 , ∠8 ; ∠2 , ∠7
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
2
2.
Find the vertically opposite angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠1 , ∠2 , ∠7 , ∠8
Question
3
3.
Find the interior angles in the given figure
(i)
∠1 , ∠8 ; ∠2 , ∠7
(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)
∠3 , ∠5 ; ∠4 , ∠6
Question
4
4.
Find the exterior angles in the given figure
(i)
∠1 , ∠8 ; ∠2 , ∠7
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠3 , ∠5 ; ∠4 , ∠6
Question
5
5.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iv)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(v)
∠3 , ∠6 ; ∠4 , ∠5
Question
6
6.
Find the exterior alternate angles in the given figure
(i)
∠3 , ∠5 ; ∠4 , ∠6
(ii)
∠1 , ∠8 ; ∠2 , ∠7
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(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)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iv)
∠1 , ∠2 , ∠7 , ∠8
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
8
8.
Find the co-interior angles in the given figure
(i)
∠3 , ∠5 ; ∠4 , ∠6
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
9
9.
Find the value of 'z'
(i)
62°
(ii)
77°
(iii)
57°
(iv)
47°
(v)
52°
Question
10
10.
In the given figure l ∥ m. Find the value of 'y'
(i)
8
(ii)
12
(iii)
9
(iv)
10
(v)
7
Question
11
11.
In the given figure l ∥ m. Find the value of 's'
(i)
37
(ii)
35
(iii)
36
(iv)
39
(v)
34
Question
12
12.
Multiple lines drawn on a plane are called
(i)
perpendicular lines
(ii)
parallel lines
(iii)
concurrent lines
(iv)
coplanar lines
(v)
intersecting lines
Question
13
13.
Multiple lines which do not meet each other are called
(i)
perpendicular lines
(ii)
intersecting lines
(iii)
coplanar lines
(iv)
concurrent lines
(v)
parallel lines
Question
14
14.
Multiple lines which pass through the same point are called
(i)
intersecting lines
(ii)
concurrent lines
(iii)
parallel lines
(iv)
coplanar lines
(v)
perpendicular lines
Question
15
15.
A line that intersects two lines at two different points is called
(i)
parallel lines
(ii)
transversal
(iii)
concurrent lines
(iv)
coplanar lines
(v)
perpendicular lines
Question
16
16.
Two lines meeting at a point and making an angle of 90° at the meeting point are called
(i)
parallel lines
(ii)
coplanar lines
(iii)
concurrent lines
(iv)
perpendicular lines
(v)
intersecting lines
Question
17
17.
The following lines represent
(i)
intersecting lines
(ii)
coplanar lines
(iii)
parallel lines
(iv)
concurrent lines
(v)
perpendicular lines
Question
18
18.
The following lines represent
(i)
concurrent lines
(ii)
perpendicular lines
(iii)
parallel lines
(iv)
intersecting lines
(v)
coplanar lines
Question
19
19.
The following lines represent
(i)
coplanar lines
(ii)
intersecting lines
(iii)
perpendicular lines
(iv)
concurrent lines
(v)
parallel lines
Question
20
20.
In the given figure l ∥ m. Find the value of 't'
(i)
10
(ii)
7
(iii)
9
(iv)
11
(v)
12
Question
21
21.
In the given figure l ∥ m. Find the value of 'p'
(i)
15
(ii)
13
(iii)
11
(iv)
17
(v)
14
Question
22
22.
In the given figure l ∥ m. Find the value of 'v'
(i)
16
(ii)
12
(iii)
15
(iv)
14
(v)
18
Question
23
23.
In the given figure l ∥ m. Find the value of 'x'
(i)
51°
(ii)
71°
(iii)
56°
(iv)
46°
(v)
41°
Question
24
24.
In the given figurel ∥ m. Find the value of 't'
(i)
60°
(ii)
50°
(iii)
65°
(iv)
80°
(v)
55°
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)
74
°
,
65
°
,
65
°
,
74
°
,
41
°
,
41
°
(ii)
65
°
,
41
°
,
74
°
,
65
°
,
41
°
,
74
°
(iii)
65
°
,
65
°
,
41
°
,
41
°
,
74
°
,
74
°
(iv)
74
°
,
41
°
,
65
°
,
41
°
,
74
°
,
65
°
(v)
41
°
,
74
°
,
65
°
,
74
°
,
65
°
,
41
°
Question
26
26.
Which of the following are adjacent angles in the below figure?
(i)
∠KOL , ∠HOI
(ii)
∠HOI , ∠JOK
(iii)
∠IOG , ∠KOL
(iv)
∠GOH , ∠HOI
(v)
∠JOK , ∠HOI
Question
27
27.
Find the value of g in the figure below
(i)
21
(ii)
17
(iii)
18
(iv)
19
(v)
15
Question
28
28.
Which of the following are true for alternate angles?
a)
They are on either side of the transversal
b)
They are adjacent angles
c)
They are in the same side of the transversal
d)
They are not adjacent angles
e)
Both are interior angles
f)
One is interior angle and the other is exterior
(i)
{c,a,d}
(ii)
{a,d,e}
(iii)
{c,d}
(iv)
{f,b,e}
(v)
{b,a}
Question
29
29.
Which of the following are true for corresponding angles?
a)
They are adjacent angles
b)
They are on either side of the transversal
c)
They are on the same side of the transversal
d)
They are not adjacent angles
e)
Both are interior angles
f)
One is interior angle and the other is exterior angle
(i)
{b,c,d}
(ii)
{c,d,f}
(iii)
{b,d}
(iv)
{e,a,f}
(v)
{a,c}
Question
30
30.
Which of the following are true?
a)
If two lines are parallel to the same line, then they are parallel to each other
b)
If
w
⟂
x
and
x
⟂
y
, then
w
⟂
y
c)
If
w
∥
x
and
x
∥
y
, then
w
∥
y
d)
If two lines are parallel to the same line, then they are perpendicular to each other
e)
If
w
⟂
x
and
w
⟂
y
, then
x
⟂
y
(i)
{a,c}
(ii)
{d,c,a}
(iii)
{d,c}
(iv)
{b,a}
(v)
{e,b,a}
Question
31
31.
In the given figure, s , t , u , v , w , x are lines in a plane. By looking at the figure, which of the following are true?
a)
w
is the transversal of
u
&
v
b)
x
is the transversal of
u
&
s
c)
v
is the transversal of
s
&
t
d)
s
∥
t
e)
s
is the transversal of
u
&
w
f)
s
∥
v
(i)
{e,a}
(ii)
{e,f,c}
(iii)
{e,d,a}
(iv)
{a,b,c,d}
(v)
{f,b}
Question
32
32.
Which of the following are true with respect to lines k , l , m , n where k ∥ l , l ⟂ m , m ⟂ n?
a)
k
∥
n
b)
k
∥
m
c)
m
∥
n
d)
l
∥
n
e)
k
⟂
n
(i)
{c,d}
(ii)
{b,a}
(iii)
{e,b,a}
(iv)
{a,d}
(v)
{c,d,a}
Question
33
33.
Which of the given figures is wrong?
(i)
IV
(ii)
III
(iii)
II
(iv)
I
Question
34
34.
In which of the figures given bellow, l ∥ m?
(i)
III
(ii)
IV
(iii)
I
(iv)
II
Question
35
35.
In which of the figures given bellow, l ∦ m(not parallel)?
(i)
I
(ii)
III
(iii)
IV
(iv)
II
Question
36
36.
If l ∥ m, which of the given figures is correct?
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Assignment Key
1) (iii)
2) (ii)
3) (iv)
4) (ii)
5) (v)
6) (ii)
7) (v)
8) (i)
9) (iv)
10) (iii)
11) (iii)
12) (iv)
13) (v)
14) (ii)
15) (ii)
16) (iv)
17) (iii)
18) (ii)
19) (ii)
20) (i)
21) (v)
22) (iii)
23) (v)
24) (ii)
25) (ii)
26) (iv)
27) (iii)
28) (ii)
29) (ii)
30) (i)
31) (iv)
32) (iv)
33) (iii)
34) (iv)
35) (i)
36) (iii)
