EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
Which of the following properties apply for a rhombus ?
a)
Diagonals bisect each other
b)
Opposite angles are equal
c)
Opposite sides are parallel
d)
Diagonals are equal
e)
Adjacent sides are equal
f)
Adjacent angles are equal
g)
Opposite sides are equal
(i)
{f,b}
(ii)
{d,e,g}
(iii)
{a,b,c,e,g}
(iv)
{d,a}
(v)
{d,f,c}
Question
2
2.
Which of the following are true?
a)
A rhombus is a square
b)
A square is a rhombus
c)
A square is a rectangle
d)
A parallelogram is a square
e)
A rectangle is a square
(i)
{d,c,b}
(ii)
{b,c}
(iii)
{a,b}
(iv)
{d,c}
(v)
{e,a,b}
Question
3
3.
The opposite sides of the parallelogram are
(i)
FG
&
HI
,
GH
&
IF
(ii)
FG
&
IJ
,
GI
&
JF
(iii)
FH
&
GI
,
HG
&
IF
(iv)
FG
&
HJ
,
GH
&
JF
(v)
FH
&
IG
,
HI
&
GF
Question
4
4.
In which of the following are the diagonals equal ?
(i)
parallelogram
(ii)
rectangle
(iii)
rhombus
(iv)
trapezium
(v)
None of these
Question
5
5.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GCD
≇
(i)
△GED
(ii)
△GCF
(iii)
△GEF
(iv)
△FCD
Question
6
6.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GH
≠
(i)
GI
(ii)
IF
(iii)
FG
(iv)
HI
Question
7
7.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠MQN
=
(i)
∠OPM
(ii)
∠MQP
(iii)
∠OPN
(iv)
∠MNO
(v)
∠MPN
Question
8
8.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
DE
=
(i)
EF
(ii)
GD
(iii)
EG
(iv)
DF
(v)
FG
Question
9
9.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠CDF
≠
(i)
∠FDE
(ii)
∠EBF
(iii)
∠FBC
(iv)
∠BFE
Question
10
10.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
KH
∥
(i)
JK
(ii)
HI
(iii)
HJ
(iv)
IJ
(v)
IK
Question
11
11.
The vertices of the rhombus are
(i)
G , H , I , L
(ii)
G , H , I , J
(iii)
G , H , J , K
(iv)
G , H , I , K
(v)
G , H , J , L
Question
12
12.
In the given parallelogram, which of the following statements are true?
a)
∠MNO
=
∠OLM
b)
∠MPL
=
∠OPN
c)
△POL
≅
△PMN
d)
MP
=
PN
e)
△MOL
≅
△NOL
(i)
{d,a}
(ii)
{d,a,b}
(iii)
{e,b}
(iv)
{d,e,c}
(v)
{a,b,c}
Question
13
13.
In trapezium
ABCD
,
AC
and
BD
are diagonals.
Then
CD
∥
(i)
BD
(ii)
DA
(iii)
AC
(iv)
AB
(v)
BC
Question
14
14.
In the figure given below,
OPQR
is a rhombus.
Find the values of x and y
(i)
x
=
42.95°
,
y
=
42.95°
(ii)
x
=
44.95°
,
y
=
44.95°
(iii)
x
=
43.95°
,
y
=
43.95°
(iv)
x
=
40.95°
,
y
=
40.95°
(v)
x
=
41.95°
,
y
=
41.95°
Question
15
15.
Name all quadrilaterals whose all sides are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,parallelogram
(iii)
square,kite
(iv)
square,rhombus
(v)
square,rectangle
Question
16
16.
Identify the figure below
(i)
octagon
(ii)
quadrilateral
(iii)
heptagon
(iv)
decagon
(v)
hexagon
Question
17
17.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
△LMN
≅
(i)
△NOL
(ii)
△LMP
(iii)
△MNO
(iv)
△NOP
(v)
△OLM
Question
18
18.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
NO
=
(i)
NK
(ii)
MO
(iii)
KO
(iv)
LO
(v)
LM
Question
19
19.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
∥
(i)
DE
(ii)
DF
(iii)
FC
(iv)
CE
(v)
CD
Question
20
20.
The sides of the rhombus are
(i)
JL
,
LK
,
KM
,
MJ
(ii)
JK
,
KL
,
LM
,
MJ
(iii)
JK
,
KL
,
LN
,
NJ
(iv)
JL
,
LM
,
MK
,
KJ
(v)
JK
,
KM
,
MN
,
NJ
Question
21
21.
Which of the following statements are true?
a)
A rhombus is a square
b)
A square is a rectangle
c)
A parallelogram is a rhombus
d)
A parallelogram is a trapezium
e)
A square is a rhombus
f)
A trapezium is a parallelogram
g)
A rectangle is a parallelogram
(i)
{c,g,b}
(ii)
{f,a,e}
(iii)
{c,d}
(iv)
{b,d,e,g}
(v)
{a,b}
Question
22
22.
The diagonals are equal in a
a)
rectangle
b)
trapezium
c)
parallelogram
d)
rhombus
e)
square
(i)
{c,e}
(ii)
{a,e}
(iii)
{d,b,a}
(iv)
{c,e,a}
(v)
{b,a}
Question
23
23.
The adjacent angles of the rhombus are
(i)
∠B & ∠D , ∠D & ∠C , ∠C & ∠E , ∠E & ∠B
(ii)
∠B & ∠C , ∠C & ∠E , ∠E & ∠F , ∠F & ∠B
(iii)
∠B & ∠C , ∠C & ∠D , ∠D & ∠F , ∠F & ∠B
(iv)
∠B & ∠C , ∠C & ∠D , ∠D & ∠E , ∠E & ∠B
(v)
∠B & ∠D , ∠D & ∠E , ∠E & ∠C , ∠C & ∠B
Question
24
24.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
△KHI
≅
(i)
△JKH
(ii)
△HIJ
(iii)
△LHI
(iv)
△IJK
Question
25
25.
In the given figure, GHIJ is a parallelogram such that T is the mid-point of GH and GH = 2JG. Find ∠JTI
(i)
91°
(ii)
90°
(iii)
92°
(iv)
88°
(v)
89°
Assignment Key
1) (iii)
2) (ii)
3) (i)
4) (ii)
5) (iv)
6) (i)
7) (ii)
8) (ii)
9) (iv)
10) (iv)
11) (ii)
12) (v)
13) (iv)
14) (i)
15) (iv)
16) (ii)
17) (i)
18) (iv)
19) (v)
20) (ii)
21) (iv)
22) (ii)
23) (iv)
24) (iv)
25) (ii)
