EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The adjacent sides of the parallelogram are
(i)
KM
&
ML
,
ML
&
LN
,
LN
&
NK
,
NK
&
KM
(ii)
KL
&
LM
,
LM
&
MN
,
MN
&
NK
,
NK
&
KL
(iii)
KL
&
LN
,
LN
&
NO
,
NO
&
OK
,
OK
&
KL
(iv)
KM
&
MN
,
MN
&
NL
,
NL
&
LK
,
LK
&
KM
(v)
KL
&
LM
,
LM
&
MO
,
MO
&
OK
,
OK
&
KL
Question
2
2.
In the adjoining figure,
NOPQ
is a parallelogram in which
∠QNP = 15.47°
,
∠PNO = 20.46°
,
∠QRP = 64.97°
. Calculate
∠QOP
(i)
48.50°
(ii)
49.50°
(iii)
47.50°
(iv)
50.50°
(v)
51.50°
Question
3
3.
In the given figure
△DEF
,
G
is the mid-point of
DE
and
GH
∥
EF
,
then
DH
=
(i)
DG
(ii)
HF
(iii)
DE
(iv)
GE
(v)
FD
Question
4
4.
In the adjoining figure,
ABCD
is a parallelogram and
EF
is such that
EF
∥
AC
If
∠ADE = 33.74°
and
∠CDF = 27.65°
,
find the measure of
∠ABC
.
(i)
117.61°
(ii)
116.61°
(iii)
120.61°
(iv)
119.61°
(v)
118.61°
Question
5
5.
Which of the following statements are true?
a)
Every rectangle is a rhombus
b)
Every rectangle is a parallelogram
c)
Every parallelogram is a rectangle
d)
Every rhombus is parallelogram
e)
Every square is a rectangle
(i)
{a,b}
(ii)
{b,d,e}
(iii)
{a,c,e}
(iv)
{c,d}
(v)
{a,b,d}
Question
6
6.
Identify the figure below
(i)
angle
(ii)
kite
(iii)
rectangle
(iv)
square
(v)
triangle
Question
7
7.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NPM
≠
(i)
∠LPO
(ii)
∠MPL
(iii)
∠OLM
(iv)
∠OPN
Question
8
8.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
PM
∥
(i)
MN
(ii)
NP
(iii)
NO
(iv)
OP
Question
9
9.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SPQ
≠
(i)
∠SRO
(ii)
∠OPS
(iii)
∠RSQ
(iv)
∠QRS
Question
10
10.
In the given figure, DEFG is a parallelogram. DF bisects ∠D & ∠F.
Given
DF = 9 cm
and
EG = 6 cm
, find
DE
(i)
7.41 cm
(ii)
4.41 cm
(iii)
3.41 cm
(iv)
6.41 cm
(v)
5.41 cm
Question
11
11.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IJ
=
(i)
IF
(ii)
HJ
(iii)
GJ
(iv)
FJ
Question
12
12.
The diagonals of the rectangle are
(i)
PS
,
OR
(ii)
QR
,
OP
(iii)
PS
,
OQ
(iv)
PR
,
OQ
(v)
QP
,
OR
Question
13
13.
In the given parallelogram, which of the following statements are true?
a)
△IKH
≅
△JKH
b)
L
is the mid point of
IK
c)
IL
=
KL
d)
IL
=
LH
e)
∠ILH
=
∠KLJ
(i)
{a,b,c}
(ii)
{d,c}
(iii)
{a,d,e}
(iv)
{b,c,e}
(v)
{a,b}
Question
14
14.
Name all quadrilaterals whose diagonals bisect each other
(i)
rectangle,rhombus
(ii)
square,kite
(iii)
square,parallelogram
(iv)
square,rectangle
(v)
parallelogram,square,rhombus,rectangle
Question
15
15.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
LM
∥
(i)
NK
(ii)
KM
(iii)
MN
(iv)
KL
(v)
LN
Question
16
16.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠OLP
=
(i)
∠LPO
(ii)
∠PNO
(iii)
∠MLP
(iv)
∠OPN
(v)
∠PNM
Question
17
17.
The opposite sides of the rectangle are
(i)
EF
&
HI
,
FH
&
IE
(ii)
EG
&
FH
,
GF
&
HE
(iii)
EF
&
GH
,
FG
&
HE
(iv)
EF
&
GI
,
FG
&
IE
(v)
EG
&
HF
,
GH
&
FE
Question
18
18.
In the adjoining figure,
ABCD
is a kite in which
AB
=
DA
,
BC
=
CD
and the diagonals
BD
and
AC
intersect at
O
.
If ∠OCD = 39.23° and ∠ABO = 57.59°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 50.77° , b = 33.41° , c = 56.59° , d = 50.77° , e = 39.23°
(ii)
a = 50.77° , b = 32.41° , c = 57.59° , d = 50.77° , e = 39.23°
(iii)
a = 50.77° , b = 33.41° , c = 57.59° , d = 50.77° , e = 39.23°
(iv)
a = 50.77° , b = 33.41° , c = 56.59° , d = 52.77° , e = 37.23°
(v)
a = 50.77° , b = 33.41° , c = 56.59° , d = 52.77° , e = 39.23°
Question
19
19.
Which of the following are true?
a)
A parallelogram is a rectangle
b)
A square is a parallelogram
c)
A rectangle is a parallelogram
d)
A rectangle is a square
e)
A parallelogram is a square
(i)
{b,c}
(ii)
{d,c}
(iii)
{a,b}
(iv)
{d,c,b}
(v)
{e,a,b}
Question
20
20.
The adjacent sides of the kite are
(i)
NO
&
OQ
,
OQ
&
QR
,
QR
&
RN
,
RN
&
NO
(ii)
NP
&
PQ
,
PQ
&
QO
,
QO
&
ON
,
ON
&
NP
(iii)
NP
&
PO
,
PO
&
OQ
,
OQ
&
QN
,
QN
&
NP
(iv)
NO
&
OP
,
OP
&
PQ
,
PQ
&
QN
,
QN
&
NO
(v)
NO
&
OP
,
OP
&
PR
,
PR
&
RN
,
RN
&
NO
Question
21
21.
In the given figure, DEFG is a parallelogram such that Q is the mid-point of DE and DE = 2GD. Find ∠GQF
(i)
92°
(ii)
89°
(iii)
90°
(iv)
88°
(v)
91°
Question
22
22.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
MN
=
(i)
LN
(ii)
MO
(iii)
OL
(iv)
LM
(v)
NO
Question
23
23.
GHIJ is an isosceles trapezium. GP and HP are angular bisector of ∠G & ∠H. If ∠G = 57°, find ∠GPH
(i)
123°
(ii)
121°
(iii)
122°
(iv)
125°
(v)
124°
Question
24
24.
Identify the figure below
(i)
kite
(ii)
parallelogram
(iii)
rectangle
(iv)
trapezium
(v)
triangle
Question
25
25.
The sides of the parallelogram are
(i)
PR
,
RS
,
SQ
,
QP
(ii)
PR
,
RQ
,
QS
,
SP
(iii)
PQ
,
QS
,
ST
,
TP
(iv)
PQ
,
QR
,
RT
,
TP
(v)
PQ
,
QR
,
RS
,
SP
Assignment Key
1) (ii)
2) (ii)
3) (ii)
4) (v)
5) (ii)
6) (ii)
7) (iii)
8) (iii)
9) (iii)
10) (v)
11) (iii)
12) (iv)
13) (iv)
14) (v)
15) (i)
16) (iii)
17) (iii)
18) (ii)
19) (i)
20) (iv)
21) (iii)
22) (v)
23) (i)
24) (iv)
25) (v)
