EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
LO
=
(i)
MO
(ii)
KO
(iii)
NK
(iv)
NO
Question
2
2.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠MQP
≠
(i)
∠OQN
(ii)
∠PMN
(iii)
∠NQM
(iv)
∠PQO
Question
3
3.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DEF
≠
(i)
∠EFD
(ii)
∠FCD
(iii)
∠BCF
(iv)
∠FEB
Question
4
4.
The opposite sides of the rhombus are
(i)
OP
&
QR
,
PQ
&
RO
(ii)
OP
&
RS
,
PR
&
SO
(iii)
OQ
&
PR
,
QP
&
RO
(iv)
OQ
&
RP
,
QR
&
PO
(v)
OP
&
QS
,
PQ
&
SO
Question
5
5.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠MLI
≠
(i)
∠IJM
(ii)
∠LMK
(iii)
∠MJK
(iv)
∠KLM
Question
6
6.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
HE
≠
(i)
GH
(ii)
FH
(iii)
FG
(iv)
EF
Question
7
7.
△MIJ
is an equilateral triangle in a square
IJKL
.
If
JL
and
MI
intersect at
N
,
then find the value of x.
(i)
74°
(ii)
77°
(iii)
75°
(iv)
73°
(v)
76°
Question
8
8.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
∠OPQ
=
(i)
∠NOP
(ii)
∠QNO
(iii)
∠PQN
(iv)
∠PQR
(v)
∠NOR
Question
9
9.
Name all quadrilaterals whose diagonals bisect each other
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,parallelogram
(iii)
square,kite
(iv)
square,rectangle
(v)
square,rhombus
Question
10
10.
The diagonals are equal in a
a)
parallelogram
b)
trapezium
c)
rectangle
d)
square
e)
rhombus
(i)
{b,d}
(ii)
{a,c}
(iii)
{b,d,c}
(iv)
{c,d}
(v)
{e,a,c}
Question
11
11.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DF
=
(i)
BF
(ii)
CF
(iii)
EF
(iv)
EB
Question
12
12.
In the given figure, EFGH is a parallelogram. Q is the mid-point of GH.
FQ
bisects
∠F
. If x =
52°
, find angle 'y'.
(i)
38°
(ii)
36°
(iii)
40°
(iv)
37°
(v)
39°
Question
13
13.
The opposite angles of the rhombus are
(i)
∠L & ∠O , ∠M & ∠P
(ii)
∠L & ∠N , ∠M & ∠O
(iii)
∠L & ∠N , ∠M & ∠P
(iv)
∠L & ∠M , ∠N & ∠O
(v)
∠L & ∠O , ∠N & ∠M
Question
14
14.
Find the missing angle in the given trapezium
(i)
106.96°
(ii)
116.96°
(iii)
111.96°
(iv)
101.96°
(v)
131.96°
Question
15
15.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EBC
≠
(i)
∠DEC
(ii)
∠CDE
(iii)
∠ABE
(iv)
∠EDA
Question
16
16.
The angles of the parallelogram are
(i)
∠F , ∠G , ∠I , ∠J
(ii)
∠F , ∠G , ∠I , ∠K
(iii)
∠F , ∠G , ∠H , ∠K
(iv)
∠F , ∠G , ∠H , ∠J
(v)
∠F , ∠G , ∠H , ∠I
Question
17
17.
In the figure given below,
MNOP
is a rhombus.
Find the values of x and y
(i)
x
=
32.8°
,
y
=
55.2°
(ii)
x
=
33.8°
,
y
=
56.2°
(iii)
x
=
31.8°
,
y
=
54.2°
(iv)
x
=
34.8°
,
y
=
57.2°
(v)
x
=
35.8°
,
y
=
58.2°
Question
18
18.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
=
(i)
PQ
(ii)
RS
(iii)
PR
(iv)
QR
(v)
QS
Question
19
19.
Name all quadrilaterals whose opposite sides are equal
(i)
square,kite
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,rectangle
(iv)
square,parallelogram
(v)
square,rhombus
Question
20
20.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQN
=
(i)
∠OPN
(ii)
∠MQP
(iii)
∠MNO
(iv)
∠OPM
(v)
∠MPN
Question
21
21.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRS
≇
(i)
△TRQ
(ii)
△SPQ
(iii)
△TPQ
(iv)
△TPS
Question
22
22.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJK
=
(i)
∠HLK
(ii)
∠KLJ
(iii)
∠KHL
(iv)
∠LJI
(v)
∠IHL
Question
23
23.
The opposite angles of the parallelogram are
(i)
∠H & ∠J , ∠I & ∠K
(ii)
∠H & ∠J , ∠I & ∠L
(iii)
∠H & ∠K , ∠J & ∠I
(iv)
∠H & ∠K , ∠I & ∠L
(v)
∠H & ∠I , ∠J & ∠K
Question
24
24.
A quadrilateral has three acute angles, each measuring 39°. What is the measure of its fourth angle?
(i)
243.00°
(ii)
241.00°
(iii)
242.00°
(iv)
244.00°
(v)
245.00°
Question
25
25.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KIH
(ii)
△KJG
(iii)
△JHI
(iv)
△JHG
(v)
△KIJ
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (i)
5) (ii)
6) (ii)
7) (iii)
8) (ii)
9) (i)
10) (iv)
11) (i)
12) (i)
13) (ii)
14) (iv)
15) (i)
16) (v)
17) (ii)
18) (iv)
19) (ii)
20) (ii)
21) (ii)
22) (iv)
23) (i)
24) (i)
25) (ii)