EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
(i)
None of these
(ii)
rhombus
(iii)
trapezium
(iv)
rectangle
(v)
square
Question
2
2.
Which of the following properties apply for a kite ?
(i)
Diagonals are perpendicular
(ii)
Opposite sides are equal
(iii)
Adjacent angles are equal
(iv)
Opposite angles are parallel
(v)
Diagonals are equal
Question
3
3.
The diagonals of the parallelogram are
(i)
IL
,
HK
(ii)
IL
,
HJ
(iii)
JI
,
HK
(iv)
JK
,
HI
(v)
IK
,
HJ
Question
4
4.
Every rhombus is a
a)
parallelogram
b)
square
c)
trapezium
d)
triangle
e)
rectangle
(i)
{a,c}
(ii)
{b,a}
(iii)
{e,b,a}
(iv)
{d,c}
(v)
{d,c,a}
Question
5
5.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△KHI
≅
(i)
△HIJ
(ii)
△JKL
(iii)
△IJK
(iv)
△HIL
(v)
△JKH
Question
6
6.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IL
=
(i)
KH
(ii)
KL
(iii)
IJ
(iv)
JL
(v)
HL
Question
7
7.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FI
=
(i)
EI
(ii)
HI
(iii)
HE
(iv)
GI
Question
8
8.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
EF
≠
(i)
FH
(ii)
HE
(iii)
FG
(iv)
GH
Question
9
9.
Name all quadrilaterals whose diagonals are equal
(i)
square,kite
(ii)
rectangle,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,parallelogram
(v)
square,rectangle
Question
10
10.
The adjacent sides of the rhombus are
(i)
LN
&
NM
,
NM
&
MO
,
MO
&
OL
,
OL
&
LN
(ii)
LM
&
MO
,
MO
&
OP
,
OP
&
PL
,
PL
&
LM
(iii)
LM
&
MN
,
MN
&
NO
,
NO
&
OL
,
OL
&
LM
(iv)
LM
&
MN
,
MN
&
NP
,
NP
&
PL
,
PL
&
LM
(v)
LN
&
NO
,
NO
&
OM
,
OM
&
ML
,
ML
&
LN
Question
11
11.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△NOP
≅
(i)
△OPM
(ii)
△PMN
(iii)
△MNO
(iv)
△QMN
Question
12
12.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IHE
≅
(i)
△HFG
(ii)
△IGH
(iii)
△HFE
(iv)
△IGF
(v)
△IFE
Question
13
13.
Name all quadrilaterals whose diagonals bisect each other
(i)
square,rectangle
(ii)
square,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,kite
(v)
square,parallelogram
Question
14
14.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GI
=
(i)
EI
(ii)
FI
(iii)
HI
(iv)
HE
Question
15
15.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠RSP
=
(i)
∠PTQ
(ii)
∠PTS
(iii)
∠RSQ
(iv)
∠PQR
(v)
∠PSQ
Question
16
16.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△RSP
≅
(i)
△SQP
(ii)
△TRQ
(iii)
△SQR
(iv)
△RQP
(v)
△TSP
Question
17
17.
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 = 36.49° and ∠ABO = 56.24°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 53.51° , b = 34.76° , c = 55.24° , d = 53.51° , e = 36.49°
(ii)
a = 53.51° , b = 33.76° , c = 56.24° , d = 53.51° , e = 36.49°
(iii)
a = 53.51° , b = 34.76° , c = 55.24° , d = 55.51° , e = 34.49°
(iv)
a = 53.51° , b = 34.76° , c = 55.24° , d = 55.51° , e = 36.49°
(v)
a = 53.51° , b = 34.76° , c = 56.24° , d = 53.51° , e = 36.49°
Question
18
18.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
∠AED
=
(i)
∠CDA
(ii)
∠ADB
(iii)
∠CDB
(iv)
∠ABC
(v)
∠AEB
Question
19
19.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
△JFI
≇
(i)
△IFG
(ii)
△JFG
(iii)
△JHI
(iv)
△JHG
Question
20
20.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
PQ
=
(i)
NP
(ii)
NO
(iii)
OQ
(iv)
QN
(v)
OP
Question
21
21.
The vertices of the parallelogram are
(i)
B , C , D , G
(ii)
B , C , D , E
(iii)
B , C , E , G
(iv)
B , C , D , F
(v)
B , C , E , F
Question
22
22.
The sides of the rhombus are
(i)
EG
,
GH
,
HF
,
FE
(ii)
EF
,
FG
,
GH
,
HE
(iii)
EG
,
GF
,
FH
,
HE
(iv)
EF
,
FH
,
HI
,
IE
(v)
EF
,
FG
,
GI
,
IE
Question
23
23.
Name all quadrilaterals whose all angles are right angles
(i)
square,rhombus
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,kite
(iv)
rectangle,rhombus
(v)
square,rectangle
Question
24
24.
PQRS is a rhombus in which ∠P = 120° .
QS
is the diagonal. Then △PQR is
(i)
an equilateral triangle
(ii)
None of these
(iii)
a scalene triangle
(iv)
an obtuse angled triangle
(v)
an isosceles triangle
Question
25
25.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
O
=
59°
,
P
=
118°
,
Q
=
61°
,
R
=
122°
(ii)
O
=
61°
,
P
=
119°
,
Q
=
62°
,
R
=
118°
(iii)
O
=
60°
,
P
=
120°
,
Q
=
60°
,
R
=
120°
(iv)
O
=
58°
,
P
=
122°
,
Q
=
59°
,
R
=
121°
(v)
O
=
62°
,
P
=
119°
,
Q
=
58°
,
R
=
121°
Assignment Key
1) (v)
2) (i)
3) (v)
4) (i)
5) (iii)
6) (ii)
7) (ii)
8) (i)
9) (v)
10) (iii)
11) (ii)
12) (v)
13) (iii)
14) (i)
15) (iv)
16) (iv)
17) (ii)
18) (v)
19) (i)
20) (v)
21) (ii)
22) (ii)
23) (v)
24) (i)
25) (iii)
