EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
In the given figure, JKLM is a parallelogram. KM is the diagonal
such that
JM = KM = KL
. Given
∠J = 57°
, find
∠MKL
(i)
64°
(ii)
66°
(iii)
68°
(iv)
67°
(v)
65°
Question
2
2.
FGHI is a rhombus in which ∠F = 120° .
GI
is the diagonal. Then △FGH is
(i)
None of these
(ii)
a scalene triangle
(iii)
an isosceles triangle
(iv)
an equilateral triangle
(v)
an obtuse angled triangle
Question
3
3.
In the adjoining figure,
PQRS
is a parallelogram in which
∠SPR = 25.5°
,
∠RPQ = 40.21°
,
∠STR = 65.46°
. Calculate
∠QRP
(i)
25.50°
(ii)
26.50°
(iii)
23.50°
(iv)
24.50°
(v)
27.50°
Question
4
4.
In trapezium
BCDE
,
BD
and
CE
are diagonals.
Then
DE
∥
(i)
CD
(ii)
CE
(iii)
BC
(iv)
BD
(v)
EB
Question
5
5.
The opposite angles of the parallelogram are
(i)
∠P & ∠R , ∠Q & ∠T
(ii)
∠P & ∠R , ∠Q & ∠S
(iii)
∠P & ∠S , ∠R & ∠Q
(iv)
∠P & ∠S , ∠Q & ∠T
(v)
∠P & ∠Q , ∠R & ∠S
Question
6
6.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GEF
≠
(i)
∠FCG
(ii)
∠DEG
(iii)
∠CGF
(iv)
∠GCD
Question
7
7.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△BCD
≅
(i)
△DAB
(ii)
△CDE
(iii)
△CDA
(iv)
△ABC
(v)
△ABE
Question
8
8.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠CGF
=
(i)
∠EFC
(ii)
∠EFD
(iii)
∠CGD
(iv)
∠CFD
(v)
∠CDE
Question
9
9.
In the figure given below,
HIJK
is a rhombus.
Find the values of x and y
(i)
x
=
33.03°
,
y
=
33.03°
(ii)
x
=
32.03°
,
y
=
32.03°
(iii)
x
=
34.03°
,
y
=
34.03°
(iv)
x
=
31.03°
,
y
=
31.03°
(v)
x
=
30.03°
,
y
=
30.03°
Question
10
10.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
G
=
62°
,
H
=
119°
,
I
=
58°
,
J
=
121°
(ii)
G
=
59°
,
H
=
118°
,
I
=
61°
,
J
=
122°
(iii)
G
=
58°
,
H
=
122°
,
I
=
59°
,
J
=
121°
(iv)
G
=
60°
,
H
=
120°
,
I
=
60°
,
J
=
120°
(v)
G
=
61°
,
H
=
119°
,
I
=
62°
,
J
=
118°
Question
11
11.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
KM
=
(i)
IM
(ii)
LI
(iii)
LM
(iv)
JM
Question
12
12.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TSP
≠
(i)
∠RST
(ii)
∠STR
(iii)
∠PQT
(iv)
∠TQR
Question
13
13.
The diagonals are equal in a
a)
parallelogram
b)
trapezium
c)
rectangle
d)
square
e)
rhombus
(i)
{b,d}
(ii)
{b,d,c}
(iii)
{a,c}
(iv)
{e,a,c}
(v)
{c,d}
Question
14
14.
Find the missing angle in the given parallelogram
(i)
50.27°
(ii)
60.27°
(iii)
65.27°
(iv)
55.27°
(v)
80.27°
Question
15
15.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
JM
=
(i)
LM
(ii)
KM
(iii)
JK
(iv)
IM
(v)
LI
Question
16
16.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
PQ
=
(i)
RS
(ii)
QR
(iii)
PR
(iv)
SP
(v)
QS
Question
17
17.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOP
≠
(i)
∠PMN
(ii)
∠POL
(iii)
∠OPN
(iv)
∠LMP
Question
18
18.
The adjacent sides of the quadrilateral are
(i)
CD
&
DF
,
DF
&
FG
,
FG
&
GC
,
GC
&
CD
(ii)
CD
&
DE
,
DE
&
EF
,
EF
&
FC
,
FC
&
CD
(iii)
CD
&
DE
,
DE
&
EG
,
EG
&
GC
,
GC
&
CD
(iv)
CE
&
ED
,
ED
&
DF
,
DF
&
FC
,
FC
&
CE
(v)
CE
&
EF
,
EF
&
FD
,
FD
&
DC
,
DC
&
CE
Question
19
19.
In the adjoining figure, IJKL is a square. A line segment LN cuts the side JK at N and the diagonal IK at M such that ∠LMK = 106.91° and ∠MNK = x°. Find the value of x .
(i)
60.91°
(ii)
62.91°
(iii)
61.91°
(iv)
63.91°
(v)
59.91°
Question
20
20.
Find the missing angle in the given rhombus
(i)
146.11°
(ii)
131.11°
(iii)
121.11°
(iv)
116.11°
(v)
126.11°
Question
21
21.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△FGH
≅
(i)
△FGJ
(ii)
△HIF
(iii)
△GHI
(iv)
△IFG
(v)
△HIJ
Question
22
22.
In the adjoining figure,
CDEF
is a parallelogram and
GH
is such that
GH
∥
CE
If
∠CFG = 47.33°
and
∠EFH = 35.81°
,
find the measure of
∠CDE
.
(i)
95.86°
(ii)
97.86°
(iii)
94.86°
(iv)
98.86°
(v)
96.86°
Question
23
23.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠HIF
=
(i)
∠HIG
(ii)
∠FGH
(iii)
∠FJI
(iv)
∠FJG
(v)
∠FIG
Question
24
24.
Which of the following properties apply for a parallelogram ?
a)
Opposite angles are equal
b)
Diagonals are perpendicular to each other
c)
Diagonals bisect each other
d)
Diagonals are equal to each other
e)
Opposite sides are equal
f)
Adjacent angles are supplementary
(i)
{b,a}
(ii)
{d,c}
(iii)
{b,f,a}
(iv)
{b,d,e}
(v)
{a,c,e,f}
Question
25
25.
Which of the following are true?
a)
A square is a rhombus
b)
A parallelogram is a square
c)
A rhombus is a square
d)
A square is a rectangle
e)
A rectangle is a square
(i)
{a,d}
(ii)
{e,b,a}
(iii)
{c,d}
(iv)
{c,d,a}
(v)
{b,a}
Assignment Key
1) (ii)
2) (iv)
3) (i)
4) (iii)
5) (ii)
6) (iii)
7) (i)
8) (iii)
9) (ii)
10) (iv)
11) (i)
12) (ii)
13) (v)
14) (i)
15) (i)
16) (i)
17) (iii)
18) (ii)
19) (iii)
20) (iv)
21) (ii)
22) (v)
23) (ii)
24) (v)
25) (i)
