EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Find the missing angle in the given rhombus
(i)
77.72°
(ii)
67.72°
(iii)
82.72°
(iv)
72.72°
(v)
97.72°
Question
2
2.
In which of the following are the diagonals equal ?
(i)
rectangle
(ii)
rhombus
(iii)
parallelogram
(iv)
trapezium
(v)
None of these
Question
3
3.
The opposite sides of the quadrilateral are
(i)
DF
&
EG
,
FE
&
GD
(ii)
DF
&
GE
,
FG
&
ED
(iii)
DE
&
GH
,
EG
&
HD
(iv)
DE
&
FG
,
EF
&
GD
(v)
DE
&
FH
,
EF
&
HD
Question
4
4.
The quadrilateral whose diagonals are equal and are perpendicular bisectors is a
(i)
parallelogram
(ii)
square
(iii)
rectangle
(iv)
trapezium
(v)
rhombus
Question
5
5.
The diagonals do not divide the quadrilateral into congruent triangles in which figure?
(i)
parallelogram
(ii)
square
(iii)
rectangle
(iv)
trapezium
(v)
rhombus
Question
6
6.
In the given figure, GHIJ is a quadrilateral. RJ and RI are bisectors of ∠J & ∠I meeting at R. Find ∠IRJ
(i)
90.5°
(ii)
92.5°
(iii)
91.5°
(iv)
93.5°
(v)
89.5°
Question
7
7.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
△MJK
≅
(i)
△JKL
(ii)
△JKN
(iii)
△LMJ
(iv)
△LMN
(v)
△KLM
Question
8
8.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DEF
=
(i)
∠FCD
(ii)
∠EFC
(iii)
∠CDE
(iv)
∠CDG
Question
9
9.
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 = 51.34° and ∠ABO = 52.35°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 38.66° , b = 37.65° , c = 52.35° , d = 38.66° , e = 51.34°
(ii)
a = 38.66° , b = 38.65° , c = 51.35° , d = 40.66° , e = 51.34°
(iii)
a = 38.66° , b = 38.65° , c = 52.35° , d = 38.66° , e = 51.34°
(iv)
a = 38.66° , b = 38.65° , c = 51.35° , d = 38.66° , e = 51.34°
(v)
a = 38.66° , b = 38.65° , c = 51.35° , d = 40.66° , e = 49.34°
Question
10
10.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
PQ
(ii)
PR
(iii)
OQ
(iv)
OP
(v)
RO
Question
11
11.
The name of the quadrilateral is
(i)
NPQO
(ii)
NPOQ
(iii)
NOQR
(iv)
NOPR
(v)
NOPQ
Question
12
12.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠PQR
≠
(i)
∠RQN
(ii)
∠QRP
(iii)
∠NOR
(iv)
∠ROP
Question
13
13.
Which of the following are true?
a)
A kite is a rhombus
b)
A parallelogram is a rhombus
c)
A trapezium is a parallelogram
d)
A rhombus is a kite
e)
A rhombus is a parallelogram
(i)
{c,a,d}
(ii)
{a,d}
(iii)
{b,e,d}
(iv)
{d,e}
(v)
{b,e}
Question
14
14.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NQM
≠
(i)
∠PMN
(ii)
∠MQP
(iii)
∠OQN
(iv)
∠PQO
Question
15
15.
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)
3.41 cm
(iii)
6.41 cm
(iv)
5.41 cm
(v)
4.41 cm
Question
16
16.
The adjacent sides of the quadrilateral are
(i)
AB
&
BC
,
BC
&
CD
,
CD
&
DA
,
DA
&
AB
(ii)
AC
&
CD
,
CD
&
DB
,
DB
&
BA
,
BA
&
AC
(iii)
AB
&
BD
,
BD
&
DE
,
DE
&
EA
,
EA
&
AB
(iv)
AB
&
BC
,
BC
&
CE
,
CE
&
EA
,
EA
&
AB
(v)
AC
&
CB
,
CB
&
BD
,
BD
&
DA
,
DA
&
AC
Question
17
17.
The sides of the quadrilateral are
(i)
LM
,
MN
,
NP
,
PL
(ii)
LN
,
NO
,
OM
,
ML
(iii)
LM
,
MO
,
OP
,
PL
(iv)
LM
,
MN
,
NO
,
OL
(v)
LN
,
NM
,
MO
,
OL
Question
18
18.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠NOP
=
(i)
∠QNO
(ii)
∠NOR
(iii)
∠PQN
(iv)
∠PQR
(v)
∠OPQ
Question
19
19.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠JKH
=
(i)
∠KHI
(ii)
∠HIJ
(iii)
∠HIL
(iv)
∠IJK
Question
20
20.
In the given figure, GHIJ is a parallelogram. GP and IQ are perpendicular to the diagonal HJ. Given ∠PGH = 35°, find ∠IJH
(i)
56°
(ii)
55°
(iii)
54°
(iv)
53°
(v)
57°
Question
21
21.
Which of the following are true?
a)
A trapezium is a square
b)
A square is a trapezium
c)
A rectangle is a rhombus
d)
A square is a rectangle
e)
A parallelogram is a rhombus
(i)
{e,a,b}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{c,d,b}
(v)
{b,d}
Question
22
22.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠IEF
≠
(i)
∠IGH
(ii)
∠EIH
(iii)
∠HEI
(iv)
∠FGI
Question
23
23.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△GHI
≅
(i)
△FGH
(ii)
△IFG
(iii)
△JFG
(iv)
△HIF
Question
24
24.
In the adjoining figure,
EFGH
is a parallelogram in which
∠HEG = 15.29°
,
∠GEF = 15.99°
,
∠HIG = 82.88°
. Calculate
∠HFG
(i)
66.60°
(ii)
67.60°
(iii)
69.60°
(iv)
65.60°
(v)
68.60°
Question
25
25.
In the adjoining figure,
LMNO
is a trapezium in which
LM
∥
NO
.
If
x = 108.02°
and
y = 131.33°
,
find the measures of
∠L
and
∠M
.
(i)
L
=
46.67°
,
M
=
69.98°
(ii)
L
=
48.67°
,
M
=
71.98°
(iii)
L
=
47.67°
,
M
=
70.98°
(iv)
L
=
49.67°
,
M
=
72.98°
(v)
L
=
50.67°
,
M
=
73.98°
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (ii)
5) (iv)
6) (iii)
7) (v)
8) (i)
9) (i)
10) (iv)
11) (v)
12) (ii)
13) (iv)
14) (i)
15) (iv)
16) (i)
17) (iv)
18) (iii)
19) (ii)
20) (ii)
21) (v)
22) (ii)
23) (ii)
24) (ii)
25) (ii)
