EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EH
=
(i)
GE
(ii)
HF
(iii)
EI
(iv)
EF
(v)
IG
Question
2
2.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
KI
=
(i)
IG
(ii)
GJ
(iii)
GH
(iv)
JH
(v)
GK
Question
3
3.
In the given parallelogram, which of the following statements are true?
a)
△FHE
≅
△GHE
b)
FI
=
IE
c)
△IEF
≅
△IGH
d)
△IHE
≅
△IFG
e)
∠FGH
=
∠HEF
(i)
{a,c}
(ii)
{a,c,d}
(iii)
{c,d,e}
(iv)
{a,b,e}
(v)
{b,d}
Question
4
4.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠IJK
=
(i)
∠JKL
(ii)
∠JKH
(iii)
∠KHI
(iv)
∠HIJ
(v)
∠HIL
Question
5
5.
Which of the following have point symmetry ?
a)
quadrilateral
b)
trapezium
c)
rhombus
d)
parallelogram
e)
square
f)
rectangle
(i)
{c,d,e,f}
(ii)
{a,b,e}
(iii)
{a,c}
(iv)
{a,f,c}
(v)
{b,d}
Question
6
6.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
∠MNO
=
(i)
∠MNQ
(ii)
∠OPQ
(iii)
∠PMN
(iv)
∠NOP
(v)
∠OPM
Question
7
7.
The adjacent angles of the quadrilateral are
(i)
∠K & ∠L , ∠L & ∠N , ∠N & ∠O , ∠O & ∠K
(ii)
∠K & ∠M , ∠M & ∠L , ∠L & ∠N , ∠N & ∠K
(iii)
∠K & ∠L , ∠L & ∠M , ∠M & ∠N , ∠N & ∠K
(iv)
∠K & ∠L , ∠L & ∠M , ∠M & ∠O , ∠O & ∠K
(v)
∠K & ∠M , ∠M & ∠N , ∠N & ∠L , ∠L & ∠K
Question
8
8.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
IF
(ii)
FH
(iii)
GH
(iv)
GI
(v)
HI
Question
9
9.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
PQ
=
(i)
OP
(ii)
NP
(iii)
NO
(iv)
OQ
(v)
QN
Question
10
10.
In the given figure, CDEF is a parallelogram. CE bisects ∠C & ∠E.
Given
CE = 9 cm
and
DF = 6 cm
, find
CD
(i)
6.41 cm
(ii)
4.41 cm
(iii)
3.41 cm
(iv)
5.41 cm
(v)
7.41 cm
Question
11
11.
The sides of the parallelogram are
(i)
HI
,
IJ
,
JL
,
LH
(ii)
HJ
,
JI
,
IK
,
KH
(iii)
HJ
,
JK
,
KI
,
IH
(iv)
HI
,
IJ
,
JK
,
KH
(v)
HI
,
IK
,
KL
,
LH
Question
12
12.
In the given figure, △KLM is a triangle.
N
,
O
&
P
are mid-points of
LM
,
MK
&
KL
respectively.
Given
NO = 7 cm
,
OP = 9 cm
&
PN = 8 cm
,
find the sides of the triangle.
(i)
15 cm
,
18 cm
&
16 cm
(ii)
11 cm
,
18 cm
&
16 cm
(iii)
14 cm
,
17 cm
&
16 cm
(iv)
14 cm
,
18 cm
&
18 cm
(v)
14 cm
,
18 cm
&
16 cm
Question
13
13.
Identify the figure below
(i)
rhombus
(ii)
square
(iii)
parallelogram
(iv)
angle
(v)
kite
Question
14
14.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
square
(ii)
rectangle
(iii)
parallelogram
(iv)
rhombus
Question
15
15.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
NO
∥
(i)
NP
(ii)
OP
(iii)
MN
(iv)
MO
(v)
PM
Question
16
16.
In the adjoining figure,
ABCD
is a rhombus whose diagonals intersect at
O
.
If
∠OAB
:
∠ABO
=
2 : 3
,
find the angles of
△OAB
.
(i)
O
=
90°
,
A
=
36°
,
B
=
54°
(ii)
O
=
90°
,
A
=
34°
,
B
=
56°
(iii)
O
=
88°
,
A
=
38°
,
B
=
54°
(iv)
O
=
88°
,
A
=
36°
,
B
=
56°
(v)
O
=
92°
,
A
=
36°
,
B
=
52°
Question
17
17.
In the adjoining figure,
O
is a point in the interior of
∠QMR
.
If
ON
⟂
MQ
and
OP
⟂
MR
and
∠QMR = 46°
,
find the measure of x .
(i)
224°
(ii)
227°
(iii)
226°
(iv)
228°
(v)
225°
Question
18
18.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
JK
∥
(i)
KH
(ii)
HI
(iii)
IK
(iv)
IJ
Question
19
19.
Identify the figure below
(i)
parallelogram
(ii)
rhombus
(iii)
kite
(iv)
trapezium
(v)
circle
Question
20
20.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△SRO
≅
(i)
△RPO
(ii)
△SPO
(iii)
△RPQ
(iv)
△SQP
(v)
△SQR
Question
21
21.
In the given figure,
CDEF
is a kite whose diagonals intersect at
G
.
If
∠FCD = 80.61°
and
∠DEF = 72.74°
, calculate
∠GFC
and
∠GDE
.
(i)
x
=
50.69°
,
y
=
54.63°
(ii)
x
=
48.69°
,
y
=
52.63°
(iii)
x
=
49.69°
,
y
=
53.63°
(iv)
x
=
47.69°
,
y
=
51.63°
(v)
x
=
51.69°
,
y
=
55.63°
Question
22
22.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠OLM
≠
(i)
∠ONK
(ii)
∠MNO
(iii)
∠NOM
(iv)
∠KLO
Question
23
23.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠HEI
=
(i)
∠HIG
(ii)
∠IGF
(iii)
∠FEI
(iv)
∠IGH
(v)
∠EIH
Question
24
24.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
rectangle
(ii)
square
(iii)
parallelogram
(iv)
rhombus
Question
25
25.
Name all quadrilaterals whose opposite sides are parallel
(i)
square,parallelogram
(ii)
square,rhombus
(iii)
square,kite
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,rectangle
Assignment Key
1) (ii)
2) (v)
3) (iii)
4) (iii)
5) (i)
6) (v)
7) (iii)
8) (v)
9) (i)
10) (iv)
11) (iv)
12) (v)
13) (iii)
14) (ii)
15) (v)
16) (i)
17) (iii)
18) (ii)
19) (iii)
20) (ii)
21) (iii)
22) (iii)
23) (iii)
24) (iv)
25) (iv)
