EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Identify the figure below
(i)
triangle
(ii)
kite
(iii)
rectangle
(iv)
trapezium
(v)
rhombus
Question
2
2.
Which of the following properties apply for a parallelogram ?
a)
Diagonals bisect each other
b)
Diagonals are equal to each other
c)
Diagonals are perpendicular to each other
d)
Opposite angles are equal
e)
Opposite sides are equal
f)
Adjacent angles are supplementary
(i)
{b,c,e}
(ii)
{a,d,e,f}
(iii)
{b,a}
(iv)
{b,f,a}
(v)
{c,d}
Question
3
3.
Name all quadrilaterals whose opposite sides are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rhombus
(iii)
square,parallelogram
(iv)
rectangle,rhombus
(v)
square,rectangle
Question
4
4.
The measures of three angles of a quadrilateral are
59.41°
,
144.84°
and
57.56°
. Find the fourth angle
(i)
108.19°
(ii)
103.19°
(iii)
98.19°
(iv)
128.19°
(v)
113.19°
Question
5
5.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FBE
≇
(i)
△FBC
(ii)
△FDC
(iii)
△EBC
(iv)
△FDE
Question
6
6.
Identify the figure below
(i)
trapezium
(ii)
rectangle
(iii)
triangle
(iv)
parallelogram
(v)
circle
Question
7
7.
Find the missing angle in the given trapezium
(i)
125.2°
(ii)
130.2°
(iii)
150.2°
(iv)
120.2°
(v)
135.2°
Question
8
8.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
△IJG
≅
(i)
△IJK
(ii)
△HIJ
(iii)
△GHI
(iv)
△JGH
(v)
△GHK
Question
9
9.
Identify the figure below
(i)
pentagon
(ii)
angle
(iii)
hexagon
(iv)
heptagon
(v)
quadrilateral
Question
10
10.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△FCD
≅
(i)
△EFC
(ii)
△CDE
(iii)
△GCD
(iv)
△DEF
Question
11
11.
Name all quadrilaterals whose diagonals are perpendicular and bisect each other
(i)
square,rhombus
(ii)
square,kite
(iii)
rectangle,rhombus
(iv)
square,rectangle
(v)
parallelogram,square,rhombus,rectangle
Question
12
12.
In the adjoining figure,
DEFG
is a parallelogram and
HI
is such that
HI
∥
DF
If
∠DGH = 33.41°
and
∠FGI = 47.41°
,
find the measure of
∠DEF
.
(i)
99.18°
(ii)
101.18°
(iii)
100.18°
(iv)
97.18°
(v)
98.18°
Question
13
13.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠CDE
=
(i)
∠CDG
(ii)
∠FCD
(iii)
∠DEF
(iv)
∠EFC
Question
14
14.
Two adjacent angles of a parallelogram HIJK are in the ratio 2 : 4. Find the measure of each of its angles.
(i)
H
=
60°
,
I
=
120°
,
J
=
60°
,
K
=
120°
(ii)
H
=
62°
,
I
=
119°
,
J
=
58°
,
K
=
121°
(iii)
H
=
59°
,
I
=
118°
,
J
=
61°
,
K
=
122°
(iv)
H
=
61°
,
I
=
119°
,
J
=
62°
,
K
=
118°
(v)
H
=
58°
,
I
=
122°
,
J
=
59°
,
K
=
121°
Question
15
15.
In trapezium
DEFG
,
DF
and
EG
are diagonals.
Then
FG
∥
(i)
EG
(ii)
DE
(iii)
EF
(iv)
GD
(v)
DF
Question
16
16.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
△GFC
≅
(i)
△GDC
(ii)
△GED
(iii)
△GEF
(iv)
△FDC
(v)
△FDE
Question
17
17.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠PTS
=
(i)
∠PSQ
(ii)
∠PQR
(iii)
∠PTQ
(iv)
∠RSP
(v)
∠RSQ
Question
18
18.
In the adjoining figure, side KL of parallelogram JKLM has been produced to N. If ∠MLN = 114.99° , find the measure of each angle of the parallelogram.
(i)
J
=
64.01°
,
K
=
112.99°
,
L
=
66.01°
,
M
=
116.99°
(ii)
J
=
66.01°
,
K
=
113.99°
,
L
=
67.01°
,
M
=
112.99°
(iii)
J
=
67.01°
,
K
=
113.99°
,
L
=
63.01°
,
M
=
115.99°
(iv)
J
=
65.01°
,
K
=
114.99°
,
L
=
65.01°
,
M
=
114.99°
(v)
J
=
63.01°
,
K
=
116.99°
,
L
=
64.01°
,
M
=
115.99°
Question
19
19.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠DAB
=
(i)
∠CDA
(ii)
∠BCD
(iii)
∠ABC
(iv)
∠ABE
Question
20
20.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
∠OPM
=
(i)
∠MPN
(ii)
∠MNO
(iii)
∠MQP
(iv)
∠OPN
(v)
∠MQN
Question
21
21.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
△MNO
≅
(i)
△QMN
(ii)
△OPM
(iii)
△NOP
(iv)
△PMN
Question
22
22.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
EF
≠
(i)
FC
(ii)
CD
(iii)
DE
(iv)
DF
Question
23
23.
How many diagonals does a nonagon have?
(i)
29
(ii)
28
(iii)
24
(iv)
26
(v)
27
Question
24
24.
Name all quadrilaterals whose diagonals are equal
(i)
square,rectangle
(ii)
square,parallelogram
(iii)
rectangle,rhombus
(iv)
square,rhombus
(v)
square,kite
Question
25
25.
The vertices of the quadrilateral are
(i)
F , G , H , I
(ii)
F , G , H , J
(iii)
F , G , I , K
(iv)
F , G , H , K
(v)
F , G , I , J
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iii)
5) (iii)
6) (ii)
7) (iv)
8) (iii)
9) (i)
10) (iv)
11) (i)
12) (i)
13) (iv)
14) (i)
15) (ii)
16) (i)
17) (iii)
18) (iv)
19) (ii)
20) (ii)
21) (ii)
22) (iv)
23) (v)
24) (i)
25) (i)
