EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Lines and Angles
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure, l , m , n , o , p , q are lines in a plane. By looking at the figure, which of the following are true?
a)
p
is the transversal of
n
&
o
b)
l
is the transversal of
n
&
p
c)
l
∥
m
d)
q
is the transversal of
n
&
l
e)
o
is the transversal of
l
&
m
f)
l
∥
o
(i)
{a,c,d,e}
(ii)
{f,c}
(iii)
{b,e,a}
(iv)
{b,f,d}
(v)
{b,a}
Question
2
2.
Find the unknown marked angles in the following figure
(i)
x
=
107°
,
y
=
157°
(ii)
x
=
105°
,
y
=
155°
(iii)
x
=
103°
,
y
=
153°
(iv)
x
=
104°
,
y
=
154°
(v)
x
=
106°
,
y
=
156°
Question
3
3.
Which of the following is a reflex angle?
(i)
90°
(ii)
0°
(iii)
360°
(iv)
279°
(v)
130°
Question
4
4.
Which of the following angles form a linear pair?
(i)
(∠AOB,∠BOC)
(ii)
(∠DOE,∠EOA)
(iii)
(∠COD,∠DOE)
(iv)
(∠BOC,∠COD)
Question
5
5.
In the given figure, calculate the value of x.
(i)
x
=
40.47°
(ii)
x
=
41.47°
(iii)
x
=
43.47°
(iv)
x
=
42.47°
(v)
x
=
39.47°
Question
6
6.
Which of the following are true with respect to lines d , e , f , g where d ∥ e , e ⟂ f , f ⟂ g?
a)
d
∥
f
b)
d
⟂
g
c)
f
∥
g
d)
d
∥
g
e)
e
∥
g
(i)
{d,e}
(ii)
{b,e,d}
(iii)
{a,d}
(iv)
{b,e}
(v)
{c,a,d}
Question
7
7.
Which of the following are true for alternate angles?
a)
They are not adjacent angles
b)
They are on either side of the transversal
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 adjacent angles
(i)
{a,b,e}
(ii)
{f,c,e}
(iii)
{d,b}
(iv)
{d,a,b}
(v)
{c,a}
Question
8
8.
In the figure below, if
EF
=
12.00 cm
and
FG
=
6.80 cm
,find
EG
= ?
(i)
17.80 cm
(ii)
18.80 cm
(iii)
20.80 cm
(iv)
19.80 cm
(v)
16.80 cm
Question
9
9.
Which of the following are adjacent angles in the below figure?
(i)
∠DOE , ∠FOG
(ii)
∠EOF , ∠GOC
(iii)
∠COD , ∠DOE
(iv)
∠FOG , ∠DOE
(v)
∠GOC , ∠DOE
Question
10
10.
Which of the following is an obtuse angle?
(i)
90°
(ii)
121°
(iii)
360°
(iv)
180°
(v)
0°
Question
11
11.
In the given figure, △GHI in which ∠H = 56.2° and ∠I = 60.31°. GJ and HI bisects each other. Find the value of z
(i)
z
=
62.49°
(ii)
z
=
65.49°
(iii)
z
=
64.49°
(iv)
z
=
61.49°
(v)
z
=
63.49°
Question
12
12.
Which of the following figures represent a ray?
(i)
fig 1
(ii)
fig 3
(iii)
fig 2
Question
13
13.
In the given figure , if DA ⟂ BC and ∠ABD = 41.13°, find ∠CAD
(i)
36.49°
(ii)
34.49°
(iii)
33.49°
(iv)
35.49°
(v)
32.49°
Question
14
14.
The representation
IJ
indicates
(i)
line segment
(ii)
arc
(iii)
ray
(iv)
line
(v)
angle
Question
15
15.
In the following figure, one side of a triangle has been produced. Find all the angles of the triangle
(i)
H
=
54°
,
I
=
45°
,
J
=
81°
(ii)
H
=
54°
,
I
=
43°
,
J
=
83°
(iii)
H
=
52°
,
I
=
45°
,
J
=
83°
(iv)
H
=
52°
,
I
=
47°
,
J
=
81°
(v)
H
=
56°
,
I
=
45°
,
J
=
79°
Question
16
16.
Multiple lines which do not meet each other are called
(i)
concurrent lines
(ii)
coplanar lines
(iii)
parallel lines
(iv)
perpendicular lines
(v)
intersecting lines
Question
17
17.
Which of the following is a straight angle?
(i)
222°
(ii)
360°
(iii)
0°
(iv)
180°
(v)
40°
Question
18
18.
Two lines meeting at a point and making an angle of 90° at the meeting point are called
(i)
coplanar lines
(ii)
intersecting lines
(iii)
concurrent lines
(iv)
perpendicular lines
(v)
parallel lines
Question
19
19.
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
h
⟂
i
and
i
⟂
j
, then
h
⟂
j
c)
If
h
∥
i
and
i
∥
j
, then
h
∥
j
d)
If
h
⟂
i
and
h
⟂
j
, then
i
⟂
j
e)
If two lines are parallel to the same line, then they are perpendicular to each other
(i)
{d,c,a}
(ii)
{e,b,a}
(iii)
{a,c}
(iv)
{d,c}
(v)
{b,a}
Question
20
20.
In the given figure, find ∠CDB
(i)
59°
(ii)
60°
(iii)
62°
(iv)
61°
(v)
58°
Question
21
21.
In the given figure l ∥ m. Find the value of 'u'
(i)
11
(ii)
10
(iii)
9
(iv)
12
(v)
8
Question
22
22.
Which of the following figures represent a line segment?
(i)
fig 3
(ii)
fig 1
(iii)
fig 2
Question
23
23.
Consider the following figure
⟷
VT
.
State which of the following statements are true?
a)
V,T are end points of line segment
XE
b)
V,T are points on the line segment
XE
c)
V,T are end points of line segment
VT
d)
V,X,S,T,E are points on the line
⟷
VT
e)
S,E are end points of line segment
EV
(i)
{e,a,c}
(ii)
{b,d,c}
(iii)
{b,d}
(iv)
{a,c}
(v)
{c,d}
Question
24
24.
In the given figure, △ABC in which side BC has been produced to D. If ∠CAB = x° , ∠ABC = (4/15a)° , ∠BCA = (7/15a)° and ∠ACD = (11/15a)°, find the values of a and x.
(i)
a
=
150°
,
x
=
70°
(ii)
a
=
151°
,
x
=
71°
(iii)
a
=
149°
,
x
=
69°
(iv)
a
=
148°
,
x
=
68°
(v)
a
=
152°
,
x
=
72°
Question
25
25.
The following angle represents
(i)
reflex angle
(ii)
obtuse angle
(iii)
complete angle
(iv)
right angle
(v)
straight angle
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (iii)
5) (ii)
6) (i)
7) (i)
8) (ii)
9) (iii)
10) (ii)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (i)
16) (iii)
17) (iv)
18) (iv)
19) (iii)
20) (ii)
21) (ii)
22) (ii)
23) (v)
24) (i)
25) (ii)