EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In trapezium
IJKL
,
IK
and
JL
are diagonals.
Then
KL
∥
(i)
IK
(ii)
IJ
(iii)
JK
(iv)
LI
(v)
JL
Question
2
2.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠HIJ
=
(i)
∠JKH
(ii)
∠JKL
(iii)
∠KHI
(iv)
∠IJK
(v)
∠HIL
Question
3
3.
In the given figure, ABCD is a parallelogram. AN and CO are perpendicular to the diagonal BD. Given ∠NAB = 25°, find ∠CDB
(i)
67°
(ii)
64°
(iii)
65°
(iv)
66°
(v)
63°
Question
4
4.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KN
=
(i)
MN
(ii)
MJ
(iii)
LN
(iv)
JN
Question
5
5.
Identify the figure below
(i)
rectangle
(ii)
angle
(iii)
rhombus
(iv)
kite
(v)
square
Question
6
6.
In the adjoining figure,
LMNO
is a parallelogram and
PQ
is such that
PQ
∥
LN
If
∠LOP = 17.22°
and
∠NOQ = 19.65°
,
find the measure of
∠NOL
.
(i)
144.13°
(ii)
143.13°
(iii)
141.13°
(iv)
145.13°
(v)
142.13°
Question
7
7.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠GED
=
(i)
∠CGF
(ii)
∠GEF
(iii)
∠DCG
(iv)
∠FCG
(v)
∠FGE
Question
8
8.
The measures of three angles of a quadrilateral are
62.52°
,
136.13°
and
56.25°
. Find the fourth angle
(i)
115.1°
(ii)
135.1°
(iii)
120.1°
(iv)
105.1°
(v)
110.1°
Question
9
9.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
PQ
=
(i)
NQ
(ii)
OQ
(iii)
PM
(iv)
MQ
Question
10
10.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HEF
≠
(i)
∠FGH
(ii)
∠DEH
(iii)
∠HGD
(iv)
∠GHF
Question
11
11.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠LKO
=
(i)
∠KON
(ii)
∠OMN
(iii)
∠OML
(iv)
∠NOM
(v)
∠NKO
Question
12
12.
Find the missing angle in the given parallelogram
(i)
141.74°
(ii)
111.74°
(iii)
116.74°
(iv)
126.74°
(v)
121.74°
Question
13
13.
NOPQ is a rhombus in which ∠N = 92° .
OQ
is the diagonal. Then △NOP is
(i)
a scalene triangle
(ii)
an isosceles triangle
(iii)
None of these
(iv)
an obtuse angled triangle
(v)
an equilateral triangle
Question
14
14.
In the figure given below,
JKLM
is a rhombus.
Find the values of x and y
(i)
x
=
58.02°
,
y
=
58.02°
(ii)
x
=
60.02°
,
y
=
60.02°
(iii)
x
=
59.02°
,
y
=
59.02°
(iv)
x
=
57.02°
,
y
=
57.02°
(v)
x
=
56.02°
,
y
=
56.02°
Question
15
15.
In the given figure
△CDE
,
F
is the mid-point of
CD
and
FG
∥
DE
,
then
CG
=
(i)
CF
(ii)
DE
(iii)
CD
2
(iv)
EC
2
(v)
DE
2
Question
16
16.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△DEB
≅
(i)
△BCF
(ii)
△CDE
(iii)
△BCD
(iv)
△EBC
(v)
△DEF
Question
17
17.
In the given figure, DEFG is a parallelogram. V is the mid-point of FG.
EV
bisects
∠E
. If x =
52°
, find angle 'y'.
(i)
40°
(ii)
37°
(iii)
39°
(iv)
36°
(v)
38°
Question
18
18.
In the adjoining figure,
ABCD
is a trapezium in which
AB
∥
CD
.
If
x = 105.75°
and
y = 115.97°
,
find the measures of
∠A
and
∠B
.
(i)
A
=
64.03°
,
B
=
74.25°
(ii)
A
=
63.03°
,
B
=
73.25°
(iii)
A
=
66.03°
,
B
=
76.25°
(iv)
A
=
65.03°
,
B
=
75.25°
(v)
A
=
62.03°
,
B
=
72.25°
Question
19
19.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEG
≠
(i)
∠FCG
(ii)
∠CGF
(iii)
∠GCD
(iv)
∠GEF
Question
20
20.
IJKL is a rhombus in which ∠I = 120° .
JL
is the diagonal. Then △IJK is
(i)
an equilateral triangle
(ii)
a scalene triangle
(iii)
an obtuse angled triangle
(iv)
an isosceles triangle
(v)
None of these
Question
21
21.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IGF
≇
(i)
△IEH
(ii)
△HEF
(iii)
△IGH
(iv)
△IEF
Question
22
22.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△JKH
≅
(i)
△LHI
(ii)
△IJK
(iii)
△KHI
(iv)
△HIJ
Question
23
23.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KL
∥
(i)
KM
(ii)
JK
(iii)
MJ
(iv)
LM
Question
24
24.
Name all quadrilaterals whose opposite sides are parallel
(i)
square,rectangle
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,kite
(iv)
square,parallelogram
(v)
rectangle,rhombus
Question
25
25.
In the figure given below,
JKLM
is a rhombus.
Find the values of x and y
(i)
x
=
37.29°
,
y
=
54.71°
(ii)
x
=
35.29°
,
y
=
52.71°
(iii)
x
=
36.29°
,
y
=
53.71°
(iv)
x
=
38.29°
,
y
=
55.71°
(v)
x
=
34.29°
,
y
=
51.71°
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (i)
5) (v)
6) (ii)
7) (ii)
8) (iv)
9) (i)
10) (iv)
11) (v)
12) (ii)
13) (ii)
14) (i)
15) (iv)
16) (iii)
17) (v)
18) (i)
19) (ii)
20) (i)
21) (ii)
22) (iv)
23) (iii)
24) (ii)
25) (iii)
