EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△KJI
≅
(i)
△MKJ
(ii)
△KLI
(iii)
△LJK
(iv)
△MLI
(v)
△LJI
Question
2
2.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠EFC
=
(i)
∠CDG
(ii)
∠DEF
(iii)
∠FCD
(iv)
∠CDE
Question
3
3.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠TRQ
=
(i)
∠TRS
(ii)
∠STR
(iii)
∠PTS
(iv)
∠SPT
(v)
∠QPT
Question
4
4.
Identify the figure below
(i)
rhombus
(ii)
trapezium
(iii)
rectangle
(iv)
parallelogram
(v)
kite
Question
5
5.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△HIJ
≅
(i)
△JGH
(ii)
△IJG
(iii)
△KGH
(iv)
△GHI
Question
6
6.
In the given figure, BCDE is a parallelogram.
If
BV
and
CV
are bisector of
∠B
&
∠C
, find
∠V
(i)
91°
(ii)
90°
(iii)
89°
(iv)
92°
(v)
88°
Question
7
7.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
KL
∥
(i)
LN
(ii)
MN
(iii)
NK
(iv)
LM
Question
8
8.
The adjacent angles of the parallelogram are
(i)
∠K & ∠L , ∠L & ∠N , ∠N & ∠O , ∠O & ∠K
(ii)
∠K & ∠L , ∠L & ∠M , ∠M & ∠N , ∠N & ∠K
(iii)
∠K & ∠M , ∠M & ∠N , ∠N & ∠L , ∠L & ∠K
(iv)
∠K & ∠M , ∠M & ∠L , ∠L & ∠N , ∠N & ∠K
(v)
∠K & ∠L , ∠L & ∠M , ∠M & ∠O , ∠O & ∠K
Question
9
9.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△GHI
≅
(i)
△IJK
(ii)
△JGH
(iii)
△GHK
(iv)
△IJG
(v)
△HIJ
Question
10
10.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQR
=
(i)
∠PQT
(ii)
∠SPQ
(iii)
∠QRS
(iv)
∠RSP
Question
11
11.
In the adjoining figure,
ABCD
is a rhombus whose diagonals intersect at
O
.
If
∠OAB
:
∠ABO
=
7 : 11
,
find the angles of
△OAB
.
(i)
O
=
90°
,
A
=
35°
,
B
=
55°
(ii)
O
=
88°
,
A
=
35°
,
B
=
57°
(iii)
O
=
92°
,
A
=
35°
,
B
=
53°
(iv)
O
=
90°
,
A
=
33°
,
B
=
57°
(v)
O
=
88°
,
A
=
37°
,
B
=
55°
Question
12
12.
In the given figure, FGHI is a quadrilateral. SI and SH are bisectors of ∠I & ∠H meeting at S. Find ∠HSI
(i)
94.5°
(ii)
92.5°
(iii)
91.5°
(iv)
93.5°
(v)
90.5°
Question
13
13.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
PQ
≠
(i)
RS
(ii)
SP
(iii)
QS
(iv)
QR
Question
14
14.
The vertices of the quadrilateral are
(i)
I , J , L , N
(ii)
I , J , K , N
(iii)
I , J , L , M
(iv)
I , J , K , L
(v)
I , J , K , M
Question
15
15.
The opposite sides of the parallelogram are
(i)
DE
&
FG
,
EF
&
GD
(ii)
DE
&
GH
,
EG
&
HD
(iii)
DF
&
GE
,
FG
&
ED
(iv)
DE
&
FH
,
EF
&
HD
(v)
DF
&
EG
,
FE
&
GD
Question
16
16.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DG
=
(i)
EG
(ii)
FC
(iii)
FG
(iv)
DE
(v)
CG
Question
17
17.
Identify the figure below
(i)
rhombus
(ii)
trapezium
(iii)
kite
(iv)
triangle
(v)
circle
Question
18
18.
In the adjoining figure,
NOPQ
is a parallelogram in which
∠QNP = 17.25°
,
∠PNO = 23.29°
,
∠QRP = 65.83°
. Calculate
∠QOP
(i)
49.58°
(ii)
50.58°
(iii)
46.58°
(iv)
47.58°
(v)
48.58°
Question
19
19.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rectangle
(ii)
parallelogram
(iii)
rhombus
(iv)
square
Question
20
20.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DH
=
(i)
FD
(ii)
DE
(iii)
HF
(iv)
DG
(v)
GE
Question
21
21.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MN
∥
(i)
LM
(ii)
KL
(iii)
NK
(iv)
LN
Question
22
22.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠KHI
=
(i)
∠HIJ
(ii)
∠IJK
(iii)
∠HIL
(iv)
∠JKH
Question
23
23.
LMNO is a rhombus in which ∠L = 86° .
MO
is the diagonal. Then △LMN is
(i)
an equilateral triangle
(ii)
a scalene triangle
(iii)
an isosceles triangle
(iv)
an obtuse angled triangle
(v)
None of these
Question
24
24.
In the given
△CDE
,
FD
=
1
4
CD
and
GE
=
1
4
CE
. If
FG = 12 cm
, find
DE
(i)
18.00 cm
(ii)
15.00 cm
(iii)
17.00 cm
(iv)
14.00 cm
(v)
16.00 cm
Question
25
25.
In the adjoining figure, side NO of parallelogram NOPQ has been produced to R. If ∠QNR = 116.82° , find the measure of each angle of the parallelogram.
(i)
N
=
62.18°
,
O
=
114.82°
,
P
=
64.18°
,
Q
=
118.82°
(ii)
N
=
61.18°
,
O
=
118.82°
,
P
=
62.18°
,
Q
=
117.82°
(iii)
N
=
65.18°
,
O
=
115.82°
,
P
=
61.18°
,
Q
=
117.82°
(iv)
N
=
64.18°
,
O
=
115.82°
,
P
=
65.18°
,
Q
=
114.82°
(v)
N
=
63.18°
,
O
=
116.82°
,
P
=
63.18°
,
Q
=
116.82°
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (ii)
5) (i)
6) (ii)
7) (ii)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (ii)
13) (iii)
14) (iv)
15) (i)
16) (iii)
17) (i)
18) (v)
19) (iii)
20) (iii)
21) (ii)
22) (ii)
23) (iii)
24) (v)
25) (v)
