EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following pairs of angles are complementary?
(i)
44
°
6
'
52
"
,
45
°
53
'
8
"
(ii)
43
°
56
'
52
"
,
45
°
53
'
8
"
(iii)
44
°
6
'
52
"
,
45
°
43
'
8
"
(iv)
44
°
6
'
52
"
,
46
°
3
'
8
"
(v)
44
°
16
'
52
"
,
45
°
33
'
8
"
Question
2
2.
Which of the following is a straight angle?
(i)
90°
(ii)
180°
(iii)
61°
(iv)
346°
(v)
360°
Question
3
3.
In the given figure l ∥ m. Find the value of 'y'
(i)
11
(ii)
14
(iii)
12
(iv)
8
(v)
10
Question
4
4.
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
⟂
n
c)
k
∥
m
d)
l
∥
n
e)
m
∥
n
(i)
{c,d}
(ii)
{a,d}
(iii)
{b,a}
(iv)
{e,b,a}
(v)
{c,d,a}
Question
5
5.
Find the exterior angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠3 , ∠5 ; ∠4 , ∠6
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
6
6.
The following angle represents
(i)
reflex angle
(ii)
obtuse angle
(iii)
straight angle
(iv)
zero angle
(v)
complete angle
Question
7
7.
Multiple lines drawn on a plane are called
(i)
perpendicular lines
(ii)
parallel lines
(iii)
concurrent lines
(iv)
intersecting lines
(v)
coplanar lines
Question
8
8.
Find the supplementary angles pair in the following
(i)
151°,29°
(ii)
161°,39°
(iii)
181°,49°
(iv)
191°,59°
(v)
141°,29°
Question
9
9.
Find the interior alternate angles in the given figure
(i)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)
∠3 , ∠4 , ∠5 , ∠6
(iii)
∠1 , ∠8 ; ∠2 , ∠7
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
10
10.
Which of the following are true?
a)
If
o
⟂
p
and
o
⟂
q
, then
p
⟂
q
b)
If two lines are parallel to the same line, then they are parallel to each other
c)
If
o
∥
p
and
p
∥
q
, then
o
∥
q
d)
If two lines are parallel to the same line, then they are perpendicular to each other
e)
If
o
⟂
p
and
p
⟂
q
, then
o
⟂
q
(i)
{e,a,b}
(ii)
{d,c,b}
(iii)
{b,c}
(iv)
{d,c}
(v)
{a,b}
Question
11
11.
The following angle represents
(i)
complete angle
(ii)
obtuse angle
(iii)
right angle
(iv)
acute angle
(v)
zero angle
Question
12
12.
Find the corresponding angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)
∠1 , ∠2 , ∠7 , ∠8
(iv)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
13
13.
In the given figurel ∥ m. Find the value of 'r'
(i)
75°
(ii)
90°
(iii)
60°
(iv)
70°
(v)
65°
Question
14
14.
The following lines represent
(i)
intersecting lines
(ii)
coplanar lines
(iii)
parallel lines
(iv)
concurrent lines
(v)
perpendicular lines
Question
15
15.
In the given figure l ∥ m. Find the value of 'z'
(i)
33
(ii)
36
(iii)
39
(iv)
35
(v)
37
Question
16
16.
Find the value of 'o' in the following figure
(i)
54°
(ii)
64°
(iii)
69°
(iv)
59°
(v)
84°
Question
17
17.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{d,e,f,g,h,i}
(i)
41
°
,
64
°
,
75
°
,
41
°
,
64
°
,
75
°
(ii)
41
°
,
75
°
,
64
°
,
64
°
,
41
°
,
75
°
(iii)
64
°
,
41
°
,
75
°
,
64
°
,
41
°
,
75
°
(iv)
64
°
,
41
°
,
41
°
,
75
°
,
75
°
,
64
°
(v)
64
°
,
41
°
,
75
°
,
64
°
,
75
°
,
41
°
Question
18
18.
Find the value of 'd' in the following figure
(i)
7
(ii)
8
(iii)
10
(iv)
11
(v)
9
Question
19
19.
Two lines meeting at a point and making an angle of 90° at the meeting point are called
(i)
perpendicular lines
(ii)
intersecting lines
(iii)
parallel lines
(iv)
concurrent lines
(v)
coplanar lines
Question
20
20.
Find the vertically opposite 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)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
21
21.
In the given figure, f , g , h , i , j , k are lines in a plane. By looking at the figure, which of the following are true?
a)
f
∥
g
b)
k
is the transversal of
h
&
f
c)
i
is the transversal of
f
&
g
d)
f
∥
i
e)
j
is the transversal of
h
&
i
f)
f
is the transversal of
h
&
j
(i)
{d,f,c}
(ii)
{f,b}
(iii)
{d,e,a}
(iv)
{d,a}
(v)
{a,b,c,e}
Question
22
22.
The following angle represents
(i)
complete angle
(ii)
straight angle
(iii)
zero angle
(iv)
right angle
(v)
acute angle
Question
23
23.
The following angle represents
(i)
reflex angle
(ii)
acute angle
(iii)
obtuse angle
(iv)
straight angle
(v)
complete angle
Question
24
24.
The following angle represents
(i)
obtuse angle
(ii)
zero angle
(iii)
complete angle
(iv)
right angle
(v)
straight angle
Question
25
25.
Which of the following is a right angle?
(i)
286°
(ii)
90°
(iii)
148°
(iv)
360°
(v)
180°
Assignment Key
1) (i)
2) (ii)
3) (i)
4) (ii)
5) (ii)
6) (i)
7) (v)
8) (i)
9) (iv)
10) (iii)
11) (ii)
12) (ii)
13) (iii)
14) (i)
15) (ii)
16) (i)
17) (iii)
18) (v)
19) (i)
20) (v)
21) (v)
22) (i)
23) (ii)
24) (iv)
25) (ii)
