EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠HFG
=
(i)
∠DHG
(ii)
∠EDH
(iii)
∠HFE
(iv)
∠GDH
(v)
∠GHF
Question
2
2.
Sum of the interior angles in a triangle is
(i)
190°
(ii)
185°
(iii)
210°
(iv)
180°
(v)
195°
Question
3
3.
Find the missing angle in the given rhombus
(i)
121.26°
(ii)
111.26°
(iii)
116.26°
(iv)
136.26°
(v)
106.26°
Question
4
4.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIH
=
(i)
∠JGK
(ii)
∠KIJ
(iii)
∠GKJ
(iv)
∠JKI
(v)
∠HGK
Question
5
5.
In the given parallelogram, which of the following statements are true?
a)
JM
=
MI
b)
JM
=
LM
c)
M
is the mid point of
IK
d)
IJ
∥
KL
e)
JM
=
MK
(i)
{a,b}
(ii)
{e,c}
(iii)
{b,c,d}
(iv)
{a,e,d}
(v)
{a,b,c}
Question
6
6.
In trapezium
HIJK
,
HJ
and
IK
are diagonals.
Then
JK
∥
(i)
HJ
(ii)
KH
(iii)
HI
(iv)
IK
(v)
IJ
Question
7
7.
In which of the following are the diagonals equal ?
(i)
None of these
(ii)
trapezium
(iii)
rectangle
(iv)
parallelogram
(v)
rhombus
Question
8
8.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△KGH
≇
(i)
△KIH
(ii)
△KGJ
(iii)
△KIJ
(iv)
△JGH
Question
9
9.
The sides of the quadrilateral are
(i)
PR
,
RS
,
SQ
,
QP
(ii)
PQ
,
QR
,
RS
,
SP
(iii)
PQ
,
QS
,
ST
,
TP
(iv)
PQ
,
QR
,
RT
,
TP
(v)
PR
,
RQ
,
QS
,
SP
Question
10
10.
Two adjacent angles of a parallelogram CDEF are in the ratio 20 : 40. Find the measure of each of its angles.
(i)
C
=
59°
,
D
=
118°
,
E
=
61°
,
F
=
122°
(ii)
C
=
61°
,
D
=
119°
,
E
=
62°
,
F
=
118°
(iii)
C
=
58°
,
D
=
122°
,
E
=
59°
,
F
=
121°
(iv)
C
=
62°
,
D
=
119°
,
E
=
58°
,
F
=
121°
(v)
C
=
60°
,
D
=
120°
,
E
=
60°
,
F
=
120°
Question
11
11.
Identify the figure below
(i)
angle
(ii)
quadrilateral
(iii)
nonagon
(iv)
circle
(v)
hexagon
Question
12
12.
The exterior angles of the triangle are
(i)
∠LKI , ∠MIJ , ∠NJK
(ii)
∠MLJ , ∠NJK , ∠OKL
(iii)
∠JKH , ∠KHI , ∠LIK
(iv)
∠KLI , ∠LIJ , ∠MJL
(v)
∠KJH , ∠LHI , ∠MIJ
Question
13
13.
Name all quadrilaterals whose diagonals bisect each other
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rectangle
(iii)
square,rhombus
(iv)
square,parallelogram
(v)
rectangle,rhombus
Question
14
14.
The diagonals of the quadrilateral are
(i)
KN
,
JL
(ii)
KM
,
JL
(iii)
LK
,
JM
(iv)
LM
,
JK
(v)
KN
,
JM
Question
15
15.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
C
=
59°
,
D
=
118°
,
E
=
61°
,
F
=
122°
(ii)
C
=
62°
,
D
=
119°
,
E
=
58°
,
F
=
121°
(iii)
C
=
60°
,
D
=
120°
,
E
=
60°
,
F
=
120°
(iv)
C
=
58°
,
D
=
122°
,
E
=
59°
,
F
=
121°
(v)
C
=
61°
,
D
=
119°
,
E
=
62°
,
F
=
118°
Question
16
16.
In the figure given below,
IJKL
is a rhombus.
Find the values of x and y
(i)
x
=
56.18°
,
y
=
56.18°
(ii)
x
=
58.18°
,
y
=
58.18°
(iii)
x
=
55.18°
,
y
=
55.18°
(iv)
x
=
59.18°
,
y
=
59.18°
(v)
x
=
57.18°
,
y
=
57.18°
Question
17
17.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
NO
=
(i)
NP
(ii)
QN
(iii)
OQ
(iv)
PQ
(v)
OP
Question
18
18.
In the figure given below,
LMNO
is a rhombus.
Find the values of x and y
(i)
x
=
39.05°
,
y
=
52.95°
(ii)
x
=
37.05°
,
y
=
50.95°
(iii)
x
=
36.05°
,
y
=
49.95°
(iv)
x
=
40.05°
,
y
=
53.95°
(v)
x
=
38.05°
,
y
=
51.95°
Question
19
19.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NO
≠
(i)
OQ
(ii)
OP
(iii)
PQ
(iv)
QN
Question
20
20.
Identify the figure below
(i)
square
(ii)
quadrilateral
(iii)
rectangle
(iv)
angle
(v)
trapezium
Question
21
21.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
△JHG
≅
(i)
△JIF
(ii)
△IGH
(iii)
△JGF
(iv)
△IGF
(v)
△JHI
Question
22
22.
Name all quadrilaterals whose all sides are equal
(i)
square,rectangle
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,kite
(iv)
square,parallelogram
(v)
square,rhombus
Question
23
23.
In the given figure,
HIJK
is a rectangle whose diagonals intersect at
L
.
Diagonal
HJ
is produced to
T
and
∠KJT =
148.39°
. Find the angles of
△LHI
.
(i)
L
=
114.78°
,
H
=
33.61°
,
I
=
31.61°
(ii)
L
=
116.78°
,
H
=
29.61°
,
I
=
33.61°
(iii)
L
=
118.78°
,
H
=
31.61°
,
I
=
29.61°
(iv)
L
=
116.78°
,
H
=
31.61°
,
I
=
31.61°
(v)
L
=
114.78°
,
H
=
31.61°
,
I
=
33.61°
Question
24
24.
How many diagonals does a hexagon have?
(i)
8
(ii)
7
(iii)
10
(iv)
9
(v)
11
Question
25
25.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
EF
=
(i)
CD
(ii)
BF
(iii)
CF
(iv)
DF
(v)
EB
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (ii)
5) (iii)
6) (iii)
7) (iii)
8) (iv)
9) (ii)
10) (v)
11) (v)
12) (v)
13) (i)
14) (ii)
15) (iii)
16) (v)
17) (iv)
18) (v)
19) (i)
20) (i)
21) (v)
22) (v)
23) (iv)
24) (iv)
25) (iii)
