EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△QRO
≅
(i)
△QPO
(ii)
△RPO
(iii)
△RPQ
(iv)
△SQP
(v)
△SRO
Question
2
2.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠EAB
≠
(i)
∠BCE
(ii)
∠AED
(iii)
∠DAE
(iv)
∠ECD
Question
3
3.
Find the missing angle in the given parallelogram
(i)
76.39°
(ii)
66.39°
(iii)
91.39°
(iv)
71.39°
(v)
61.39°
Question
4
4.
The sides of the quadrilateral are
(i)
OP
,
PQ
,
QR
,
RO
(ii)
OP
,
PQ
,
QS
,
SO
(iii)
OQ
,
QR
,
RP
,
PO
(iv)
OQ
,
QP
,
PR
,
RO
(v)
OP
,
PR
,
RS
,
SO
Question
5
5.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
KN
=
(i)
MJ
(ii)
JN
(iii)
MN
(iv)
LN
Question
6
6.
In the figure given below,
CDEF
is a rectangle.
Find the values of x and y
(i)
x
=
41.09°
,
y
=
80.18°
(ii)
x
=
38.09°
,
y
=
77.18°
(iii)
x
=
37.09°
,
y
=
76.18°
(iv)
x
=
39.09°
,
y
=
78.18°
(v)
x
=
40.09°
,
y
=
79.18°
Question
7
7.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△KHG
≅
(i)
△KIH
(ii)
△KIJ
(iii)
△JHG
(iv)
△KJG
(v)
△JHI
Question
8
8.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
(i)
90°
(ii)
89°
(iii)
91°
(iv)
92°
(v)
88°
Question
9
9.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CE
=
(i)
BE
(ii)
DE
(iii)
DA
(iv)
AE
Question
10
10.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
MN
=
(i)
OP
(ii)
NO
(iii)
MO
(iv)
PM
(v)
NP
Question
11
11.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
∠NLK
=
(i)
∠NLM
(ii)
∠MNL
(iii)
∠MJN
(iv)
∠JNM
(v)
∠KJN
Question
12
12.
The angles of the quadrilateral are
(i)
∠D , ∠E , ∠G , ∠I
(ii)
∠D , ∠E , ∠F , ∠H
(iii)
∠D , ∠E , ∠F , ∠G
(iv)
∠D , ∠E , ∠G , ∠H
(v)
∠D , ∠E , ∠F , ∠I
Question
13
13.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
KL
=
(i)
LI
(ii)
JL
(iii)
IJ
(iv)
IK
(v)
JK
Question
14
14.
Which of the following properties apply for a trapezium ?
(i)
Diagonals are perpendicular to each other
(ii)
Adjacent angles are supplementary
(iii)
Both adjacent angles are obtuse
(iv)
Diagonals bisect each other
(v)
One pair of opposite sides are parallel
Question
15
15.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠IJL
≠
(i)
∠KHL
(ii)
∠LHI
(iii)
∠HLK
(iv)
∠LJK
Question
16
16.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
IJ
∥
(i)
HJ
(ii)
GH
(iii)
HI
(iv)
JG
Question
17
17.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
RS
=
(i)
RO
(ii)
QS
(iii)
PS
(iv)
OS
Question
18
18.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△EDA
≅
(i)
△EBA
(ii)
△DBC
(iii)
△ECB
(iv)
△DBA
(v)
△ECD
Question
19
19.
In the adjoining figure,
IJKL
is a trapezium in which
IJ
∥
KL
.
If
x = 98.57°
and
y = 133.39°
,
find the measures of
∠I
and
∠J
.
(i)
I
=
46.61°
,
J
=
81.43°
(ii)
I
=
47.61°
,
J
=
82.43°
(iii)
I
=
48.61°
,
J
=
83.43°
(iv)
I
=
45.61°
,
J
=
80.43°
(v)
I
=
44.61°
,
J
=
79.43°
Question
20
20.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
△EBC
≅
(i)
△CDE
(ii)
△DEB
(iii)
△BCF
(iv)
△BCD
(v)
△DEF
Question
21
21.
The diagonals of the quadrilateral are
(i)
EH
,
DG
(ii)
EG
,
DF
(iii)
EH
,
DF
(iv)
FG
,
DE
(v)
FE
,
DG
Question
22
22.
One angle of a parallelogram measures
G
=
59.17°
.
Find the measure of each of its remaining angles.
(i)
H
=
120.83°
,
I
=
59.17°
,
J
=
120.83°
(ii)
H
=
122.83°
,
I
=
61.17°
,
J
=
122.83°
(iii)
H
=
121.83°
,
I
=
60.17°
,
J
=
121.83°
(iv)
H
=
118.83°
,
I
=
57.17°
,
J
=
118.83°
(v)
H
=
119.83°
,
I
=
58.17°
,
J
=
119.83°
Question
23
23.
Which of the following statements are true?
a)
All quadrilaterals are trapeziums
b)
All quadrilaterals are parallelograms
c)
A parallelogram is a trapezium
d)
The set of parallelograms is a subset of the set of trapeziums
e)
All trapeziums are parallelograms
(i)
{c,d}
(ii)
{a,c}
(iii)
{b,d,c}
(iv)
{e,a,c}
(v)
{b,d}
Question
24
24.
In the adjoining figure,
ABCD
is a parallelogram in which
∠DAC = 24.12°
,
∠CAB = 22.15°
,
∠DEC = 94.85°
. Calculate
∠ABD
(i)
63.00°
(ii)
62.00°
(iii)
61.00°
(iv)
64.00°
(v)
65.00°
Question
25
25.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠GHI
=
(i)
∠FGJ
(ii)
∠FGH
(iii)
∠IFG
(iv)
∠HIJ
(v)
∠HIF
Assignment Key
1) (i)
2) (ii)
3) (v)
4) (i)
5) (iii)
6) (iv)
7) (iv)
8) (i)
9) (iv)
10) (iv)
11) (i)
12) (iii)
13) (iii)
14) (v)
15) (iii)
16) (ii)
17) (iii)
18) (i)
19) (i)
20) (i)
21) (ii)
22) (i)
23) (i)
24) (i)
25) (iii)
