EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
∠LJI
=
(i)
∠KHL
(ii)
∠HLK
(iii)
∠KLJ
(iv)
∠LJK
(v)
∠IHL
Question
2
2.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
(i)
89°
(ii)
92°
(iii)
90°
(iv)
88°
(v)
91°
Question
3
3.
In the adjoining figure,
IJKL
is a parallelogram in which
∠LIK = 17.04°
,
∠KIJ = 16.27°
,
∠LMK = 94.78°
. Calculate
∠JKI
(i)
17.04°
(ii)
18.04°
(iii)
16.04°
(iv)
15.04°
(v)
19.04°
Question
4
4.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
EB
=
(i)
BC
(ii)
CD
(iii)
CE
(iv)
BD
(v)
DE
Question
5
5.
Name all quadrilaterals whose opposite sides are equal
(i)
square,rhombus
(ii)
rectangle,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,rectangle
(v)
square,kite
Question
6
6.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GDC
≅
(i)
△GEF
(ii)
△GED
(iii)
△FDC
(iv)
△GFC
(v)
△FDE
Question
7
7.
Name all quadrilaterals whose diagonals are perpendicular and bisect each other
(i)
square,rhombus
(ii)
square,parallelogram
(iii)
rectangle,rhombus
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,rectangle
Question
8
8.
FGHI is a rhombus in which ∠F = 120° .
GI
is the diagonal. Then △FGH is
(i)
a scalene triangle
(ii)
an equilateral triangle
(iii)
None of these
(iv)
an isosceles triangle
(v)
an obtuse angled triangle
Question
9
9.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
CD
=
(i)
BD
(ii)
BC
(iii)
DA
(iv)
AB
(v)
AC
Question
10
10.
One angle of a parallelogram measures
M
=
53.13°
.
Find the measure of each of its remaining angles.
(i)
N
=
128.87°
,
O
=
55.13°
,
P
=
128.87°
(ii)
N
=
124.87°
,
O
=
51.13°
,
P
=
124.87°
(iii)
N
=
125.87°
,
O
=
52.13°
,
P
=
125.87°
(iv)
N
=
126.87°
,
O
=
53.13°
,
P
=
126.87°
(v)
N
=
127.87°
,
O
=
54.13°
,
P
=
127.87°
Question
11
11.
M, N, O are the mid-points of the sides of triangle FGH.
If the perimeter of the
△FGH
is
49 cm
, the perimeter of
△MNO
is
(i)
25.5 cm
(ii)
23.5 cm
(iii)
24.5 cm
(iv)
26.5 cm
(v)
22.5 cm
Question
12
12.
In the given
△HIJ
,
KI
=
1
4
HI
and
LJ
=
1
4
HJ
. If
KL = 16 cm
, find
IJ
(i)
19.33 cm
(ii)
20.33 cm
(iii)
23.33 cm
(iv)
21.33 cm
(v)
22.33 cm
Question
13
13.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
KL
∥
(i)
MN
(ii)
LN
(iii)
LM
(iv)
KM
(v)
NK
Question
14
14.
In the figure given below,
MNOP
is a rectangle.
Find the values of x and y
(i)
x
=
37.47°
,
y
=
76.94°
(ii)
x
=
39.47°
,
y
=
78.94°
(iii)
x
=
41.47°
,
y
=
80.94°
(iv)
x
=
38.47°
,
y
=
77.94°
(v)
x
=
40.47°
,
y
=
79.94°
Question
15
15.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠HEI
=
(i)
∠IGF
(ii)
∠IGH
(iii)
∠EIH
(iv)
∠FEI
(v)
∠HIG
Question
16
16.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠OPS
≠
(i)
∠RSQ
(ii)
∠SRO
(iii)
∠SPQ
(iv)
∠QRS
Question
17
17.
Name all quadrilaterals whose all angles are right angles
(i)
square,parallelogram
(ii)
square,rectangle
(iii)
rectangle,rhombus
(iv)
square,kite
(v)
parallelogram,square,rhombus,rectangle
Question
18
18.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LMK
≠
(i)
∠KMJ
(ii)
∠JMI
(iii)
∠LIJ
(iv)
∠IML
Question
19
19.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JIF
≠
(i)
∠HIJ
(ii)
∠IJH
(iii)
∠FGJ
(iv)
∠JGH
Question
20
20.
Name all quadrilaterals whose opposite sides are parallel
(i)
square,parallelogram
(ii)
rectangle,rhombus
(iii)
square,rhombus
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,kite
Question
21
21.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
PQ
=
(i)
MQ
(ii)
OQ
(iii)
NQ
(iv)
PM
(v)
NO
Question
22
22.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PTS
≠
(i)
∠STR
(ii)
∠QTP
(iii)
∠RTQ
(iv)
∠SPQ
Question
23
23.
In the figure given below,
GHIJ
is a rhombus.
Find the values of x and y
(i)
x
=
39.82°
,
y
=
46.18°
(ii)
x
=
41.82°
,
y
=
48.18°
(iii)
x
=
42.82°
,
y
=
49.18°
(iv)
x
=
43.82°
,
y
=
50.18°
(v)
x
=
40.82°
,
y
=
47.18°
Question
24
24.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
EF
∥
(i)
CE
(ii)
FC
(iii)
CD
(iv)
DE
(v)
DF
Question
25
25.
Which of the following figures is a regular quadrilateral?
(i)
square
(ii)
trapezium
(iii)
parallelogram
(iv)
rectangle
(v)
rhombus
Assignment Key
1) (iv)
2) (iii)
3) (i)
4) (i)
5) (iii)
6) (iv)
7) (i)
8) (ii)
9) (iv)
10) (iv)
11) (iii)
12) (iv)
13) (i)
14) (ii)
15) (iv)
16) (i)
17) (ii)
18) (iii)
19) (ii)
20) (iv)
21) (iii)
22) (iv)
23) (ii)
24) (iii)
25) (i)
