EduSahara™ Assignment
Name : Parallel Lines and Transversal
Chapter : Lines and Angles
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Multiple lines drawn on a plane are called
(i)
coplanar lines
(ii)
parallel lines
(iii)
perpendicular lines
(iv)
intersecting lines
(v)
concurrent lines
Question
2
2.
Multiple lines which do not meet each other are called
(i)
intersecting lines
(ii)
concurrent lines
(iii)
parallel lines
(iv)
perpendicular lines
(v)
coplanar lines
Question
3
3.
Multiple lines which pass through the same point are called
(i)
coplanar lines
(ii)
perpendicular lines
(iii)
concurrent lines
(iv)
intersecting lines
(v)
parallel lines
Question
4
4.
A line that intersects two lines at two different points is called
(i)
perpendicular lines
(ii)
parallel lines
(iii)
coplanar lines
(iv)
transversal
(v)
concurrent lines
Question
5
5.
The following lines represent
(i)
parallel lines
(ii)
intersecting lines
(iii)
perpendicular lines
(iv)
concurrent lines
(v)
coplanar lines
Question
6
6.
The following lines represent
(i)
intersecting lines
(ii)
coplanar lines
(iii)
parallel lines
(iv)
concurrent lines
(v)
perpendicular lines
Question
7
7.
The following lines represent
(i)
concurrent lines
(ii)
parallel lines
(iii)
perpendicular lines
(iv)
coplanar lines
(v)
intersecting lines
Question
8
8.
Find the adjacent angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠3 , ∠5 ; ∠4 , ∠6
(v)
∠3 , ∠4 , ∠5 , ∠6
Question
9
9.
Find the vertically opposite angles in the given figure
(i)
∠1 , ∠8 ; ∠2 , ∠7
(ii)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(iii)
∠3 , ∠6 ; ∠4 , ∠5
(iv)
∠3 , ∠4 , ∠5 , ∠6
(v)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
Question
10
10.
Find the interior angles in the given figure
(i)
∠3 , ∠6 ; ∠4 , ∠5
(ii)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(iii)
∠3 , ∠5 ; ∠4 , ∠6
(iv)
∠3 , ∠4 , ∠5 , ∠6
(v)
∠1 , ∠2 , ∠7 , ∠8
Question
11
11.
Find the exterior angles in the given figure
(i)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
(ii)
∠1 , ∠2 , ∠7 , ∠8
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
Question
12
12.
Find the interior alternate angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(iii)
∠3 , ∠5 ; ∠4 , ∠6
(iv)
∠3 , ∠6 ; ∠4 , ∠5
(v)
∠1 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
13
13.
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 , ∠4 ; ∠2 , ∠3 ; ∠5 , ∠8 ; ∠6 , ∠7
Question
14
14.
Find the corresponding angles in the given figure
(i)
∠3 , ∠4 , ∠5 , ∠6
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(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 , ∠8 ; ∠2 , ∠7
Question
15
15.
Find the co-interior angles in the given figure
(i)
∠1 , ∠2 ; ∠2 , ∠4 ; ∠4 , ∠3 ; ∠3 , ∠1 ; ∠5 , ∠6 ; ∠6 , ∠8 ; ∠8 , ∠7 ; ∠7 , ∠5
(ii)
∠3 , ∠5 ; ∠4 , ∠6
(iii)
∠3 , ∠4 , ∠5 , ∠6
(iv)
∠1 , ∠5 ; ∠2 , ∠6 ; ∠3 , ∠7 ; ∠4 , ∠8
(v)
∠1 , ∠8 ; ∠2 , ∠7
Question
16
16.
Find the value of 'p'
(i)
45°
(ii)
50°
(iii)
55°
(iv)
75°
(v)
60°
Question
17
17.
In the given figure l ∥ m. Find the value of 'x'
(i)
19
(ii)
18
(iii)
22
(iv)
21
(v)
20
Question
18
18.
In the given figure l ∥ m. Find the value of 'x'
(i)
7
(ii)
11
(iii)
13
(iv)
10
(v)
9
Question
19
19.
In the given figure l ∥ m. Find the value of 'w'
(i)
7
(ii)
9
(iii)
11
(iv)
10
(v)
13
Question
20
20.
In the given figure l ∥ m. Find the value of 'v'
(i)
11
(ii)
10
(iii)
14
(iv)
12
(v)
8
Question
21
21.
In the given figure l ∥ m. Find the value of 'q'
(i)
12
(ii)
15
(iii)
16
(iv)
17
(v)
14
Question
22
22.
In the given figure l ∥ m. Find the value of 's'
(i)
84°
(ii)
64°
(iii)
69°
(iv)
54°
(v)
59°
Question
23
23.
In the given figurel ∥ m. Find the value of 'u'
(i)
53°
(ii)
58°
(iii)
48°
(iv)
73°
(v)
43°
Question
24
24.
In the given figure,
l ∥ m
and
n ∥ o
and
p ∥ q
.
Find the values of
{c,d,e,f,g,h}
(i)
86
°
,
43
°
,
86
°
,
43
°
,
51
°
,
51
°
(ii)
51
°
,
43
°
,
86
°
,
51
°
,
43
°
,
86
°
(iii)
43
°
,
43
°
,
51
°
,
86
°
,
51
°
,
86
°
(iv)
43
°
,
86
°
,
43
°
,
51
°
,
86
°
,
51
°
(v)
43
°
,
51
°
,
51
°
,
86
°
,
43
°
,
86
°
Question
25
25.
Which of the following are true for alternate angles?
a)
They are adjacent angles
b)
They are not adjacent angles
c)
They are in the same side of the transversal
d)
One is interior angle and the other is exterior
e)
Both are interior angles
f)
They are on either side of the transversal
(i)
{d,a,f}
(ii)
{b,e,f}
(iii)
{c,b,e}
(iv)
{c,e}
(v)
{a,b}
Question
26
26.
Which of the following are true for corresponding angles?
a)
They are not adjacent angles
b)
Both are interior angles
c)
They are adjacent angles
d)
They are on the same side of the transversal
e)
They are on either side of the transversal
f)
One is interior angle and the other is exterior angle
(i)
{e,b,f}
(ii)
{c,d}
(iii)
{a,d,f}
(iv)
{c,a,d}
(v)
{b,a}
Question
27
27.
In the given figure, o , p , q , r , s , t are lines in a plane. By looking at the figure, which of the following are true?
a)
o
∥
r
b)
r
is the transversal of
o
&
p
c)
s
is the transversal of
q
&
r
d)
o
∥
p
e)
t
is the transversal of
q
&
o
f)
o
is the transversal of
q
&
s
(i)
{a,f,d}
(ii)
{a,b}
(iii)
{a,e,b}
(iv)
{f,c}
(v)
{b,c,d,e}
Question
28
28.
Which of the following are true with respect to lines i , j , k , l where i ∥ j , j ⟂ k , k ⟂ l?
a)
i
⟂
l
b)
j
∥
l
c)
i
∥
k
d)
i
∥
l
e)
k
∥
l
(i)
{e,a,b}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{b,d}
(v)
{c,d,b}
Question
29
29.
Which of the given figures is correct?
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
30
30.
Which of the given figures is wrong?
(i)
II
(ii)
IV
(iii)
I
(iv)
III
Question
31
31.
In which of the figures given bellow, l ∥ m?
(i)
I
(ii)
IV
(iii)
III
(iv)
II
Question
32
32.
In which of the figures given bellow, l ∦ m(not parallel)?
(i)
IV
(ii)
III
(iii)
I
(iv)
II
Question
33
33.
If l ∥ m, which of the given figures is correct?
(i)
IV
(ii)
II
(iii)
III
(iv)
I
Assignment Key
1) (i)
2) (iii)
3) (iii)
4) (iv)
5) (i)
6) (v)
7) (v)
8) (ii)
9) (ii)
10) (iv)
11) (ii)
12) (iv)
13) (ii)
14) (iv)
15) (ii)
16) (i)
17) (v)
18) (iv)
19) (iv)
20) (i)
21) (ii)
22) (iv)
23) (v)
24) (ii)
25) (ii)
26) (iii)
27) (v)
28) (iv)
29) (iv)
30) (i)
31) (iv)
32) (iv)
33) (iii)