EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠SPT
=
(i)
∠TRS
(ii)
∠STR
(iii)
∠PTS
(iv)
∠QPT
(v)
∠TRQ
Question
2
2.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KIH
≅
(i)
△KJG
(ii)
△KIJ
(iii)
△KHG
(iv)
△JHI
(v)
△JHG
Question
3
3.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
DE
∥
(i)
CE
(ii)
FC
(iii)
CD
(iv)
EF
(v)
DF
Question
4
4.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠QRO
=
(i)
∠OSR
(ii)
∠QRP
(iii)
∠ORP
(iv)
∠OSP
(v)
∠OPQ
Question
5
5.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠DFC
≠
(i)
∠EBC
(ii)
∠EFD
(iii)
∠BFE
(iv)
∠CFB
Question
6
6.
In the given figure, FGHI is a parallelogram. FH bisects ∠F & ∠H.
Given
FH = 12 cm
and
GI = 8 cm
, find
FG
(i)
9.21 cm
(ii)
7.21 cm
(iii)
6.21 cm
(iv)
8.21 cm
(v)
5.21 cm
Question
7
7.
Every rhombus is a
a)
square
b)
trapezium
c)
rectangle
d)
parallelogram
e)
triangle
(i)
{a,b}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{e,a,b}
(v)
{c,d,b}
Question
8
8.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
rectangle
(iii)
square
(iv)
parallelogram
(v)
trapezium
Question
9
9.
Which of the following statements are true?
a)
Every rhombus is parallelogram
b)
Every parallelogram is a rectangle
c)
Every square is a rectangle
d)
Every rectangle is a rhombus
e)
Every rectangle is a parallelogram
(i)
{a,c,e}
(ii)
{b,a}
(iii)
{d,c}
(iv)
{b,a,c}
(v)
{b,d,e}
Question
10
10.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠MLP
=
(i)
∠LPO
(ii)
∠OPN
(iii)
∠PNO
(iv)
∠PNM
(v)
∠OLP
Question
11
11.
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 = 33.11° and ∠ABO = 47.94°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 56.89° , b = 43.06° , c = 46.94° , d = 58.89° , e = 31.11°
(ii)
a = 56.89° , b = 43.06° , c = 46.94° , d = 58.89° , e = 33.11°
(iii)
a = 56.89° , b = 43.06° , c = 47.94° , d = 56.89° , e = 33.11°
(iv)
a = 56.89° , b = 43.06° , c = 46.94° , d = 56.89° , e = 33.11°
(v)
a = 56.89° , b = 42.06° , c = 47.94° , d = 56.89° , e = 33.11°
Question
12
12.
One angle of a parallelogram measures
K
=
71.79°
.
Find the measure of each of its remaining angles.
(i)
L
=
106.21°
,
M
=
69.79°
,
N
=
106.21°
(ii)
L
=
109.21°
,
M
=
72.79°
,
N
=
109.21°
(iii)
L
=
107.21°
,
M
=
70.79°
,
N
=
107.21°
(iv)
L
=
110.21°
,
M
=
73.79°
,
N
=
110.21°
(v)
L
=
108.21°
,
M
=
71.79°
,
N
=
108.21°
Question
13
13.
Which of the following properties apply for a parallelogram ?
a)
Diagonals bisect each other
b)
Diagonals are equal to each other
c)
Adjacent angles are supplementary
d)
Opposite sides are equal
e)
Diagonals are perpendicular to each other
f)
Opposite angles are equal
(i)
{b,f,a}
(ii)
{b,e,d}
(iii)
{a,c,d,f}
(iv)
{e,c}
(v)
{b,a}
Question
14
14.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠JKL
=
(i)
∠JNK
(ii)
∠LMK
(iii)
∠JMK
(iv)
∠LMJ
(v)
∠JNM
Question
15
15.
The adjacent sides of the rhombus are
(i)
HI
&
IJ
,
IJ
&
JK
,
JK
&
KH
,
KH
&
HI
(ii)
HI
&
IK
,
IK
&
KL
,
KL
&
LH
,
LH
&
HI
(iii)
HI
&
IJ
,
IJ
&
JL
,
JL
&
LH
,
LH
&
HI
(iv)
HJ
&
JI
,
JI
&
IK
,
IK
&
KH
,
KH
&
HJ
(v)
HJ
&
JK
,
JK
&
KI
,
KI
&
IH
,
IH
&
HJ
Question
16
16.
Name all quadrilaterals whose opposite sides are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
rectangle,rhombus
(iii)
square,rectangle
(iv)
square,rhombus
(v)
square,parallelogram
Question
17
17.
In the given figure, GHIJ is a parallelogram. HJ is the diagonal
such that
GJ = HJ = HI
. Given
∠G = 50°
, find
∠JHI
(i)
82°
(ii)
79°
(iii)
80°
(iv)
78°
(v)
81°
Question
18
18.
Which of the following properties apply for a kite ?
(i)
Opposite sides are equal
(ii)
Diagonals are perpendicular
(iii)
Diagonals are equal
(iv)
Adjacent angles are equal
(v)
Opposite sides are parallel
Question
19
19.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
≠
(i)
MO
(ii)
MN
(iii)
LM
(iv)
NO
Question
20
20.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
(i)
90°
(ii)
92°
(iii)
88°
(iv)
91°
(v)
89°
Question
21
21.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
AB
≠
(i)
BD
(ii)
DA
(iii)
BC
(iv)
CD
Question
22
22.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
DE
=
(i)
AE
(ii)
DA
(iii)
CE
(iv)
BE
Question
23
23.
In the figure given below,
MNOP
is a rhombus.
Find the values of x and y
(i)
x
=
68.29°
,
y
=
68.29°
(ii)
x
=
66.29°
,
y
=
66.29°
(iii)
x
=
70.29°
,
y
=
70.29°
(iv)
x
=
67.29°
,
y
=
67.29°
(v)
x
=
69.29°
,
y
=
69.29°
Question
24
24.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
MJ
=
(i)
KL
(ii)
LM
(iii)
KM
(iv)
JL
(v)
JK
Question
25
25.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠KLO
≠
(i)
∠MNO
(ii)
∠ONK
(iii)
∠NOM
(iv)
∠OLM
Assignment Key
1) (iv)
2) (ii)
3) (ii)
4) (v)
5) (i)
6) (ii)
7) (ii)
8) (iii)
9) (i)
10) (v)
11) (v)
12) (v)
13) (iii)
14) (iv)
15) (i)
16) (i)
17) (iii)
18) (ii)
19) (i)
20) (i)
21) (i)
22) (iv)
23) (i)
24) (v)
25) (iii)
