EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
Sum of the interior angles in a triangle is
(i)
180°
(ii)
195°
(iii)
210°
(iv)
185°
(v)
190°
Question
2
2.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
NR
=
(i)
OR
(ii)
PR
(iii)
QR
(iv)
QN
Question
3
3.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△QNO
≅
(i)
△NOR
(ii)
△OPQ
(iii)
△PQN
(iv)
△PQR
(v)
△NOP
Question
4
4.
How many diagonals does an octagon have?
(i)
17
(ii)
19
(iii)
20
(iv)
21
(v)
22
Question
5
5.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
=
(i)
NP
(ii)
NO
(iii)
MN
(iv)
MO
(v)
PM
Question
6
6.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠DGC
≠
(i)
∠CGF
(ii)
∠EGD
(iii)
∠FGE
(iv)
∠FCD
Question
7
7.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△FGH
≅
(i)
△GHE
(ii)
△IEF
(iii)
△HEF
(iv)
△EFG
Question
8
8.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FI
=
(i)
HI
(ii)
GI
(iii)
EI
(iv)
HE
Question
9
9.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
(i)
None of these
(ii)
trapezium
(iii)
square
(iv)
rectangle
(v)
rhombus
Question
10
10.
In the figure given below,
KLMN
is a rhombus.
Find the values of x and y
(i)
x
=
31.26°
,
y
=
31.26°
(ii)
x
=
28.26°
,
y
=
28.26°
(iii)
x
=
30.26°
,
y
=
30.26°
(iv)
x
=
32.26°
,
y
=
32.26°
(v)
x
=
29.26°
,
y
=
29.26°
Question
11
11.
Identify the figure below
(i)
parallelogram
(ii)
circle
(iii)
rhombus
(iv)
square
(v)
angle
Question
12
12.
In the figure given below,
EFGH
is a rectangle.
Find the values of x and y
(i)
x
=
36.87°
,
y
=
73.74°
(ii)
x
=
35.87°
,
y
=
72.74°
(iii)
x
=
34.87°
,
y
=
71.74°
(iv)
x
=
37.87°
,
y
=
74.74°
(v)
x
=
38.87°
,
y
=
75.74°
Question
13
13.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NPM
≠
(i)
∠OPN
(ii)
∠OLM
(iii)
∠MPL
(iv)
∠LPO
Question
14
14.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RS
∥
(i)
PR
(ii)
PQ
(iii)
QR
(iv)
QS
(v)
SP
Question
15
15.
Which of the following figures is a regular quadrilateral?
(i)
square
(ii)
rectangle
(iii)
rhombus
(iv)
trapezium
(v)
parallelogram
Question
16
16.
Which of the following statements are true?
a)
Every square is a rectangle
b)
Every rectangle is a parallelogram
c)
Every square is a rhombus
d)
Every parallelogram is a trapezium
e)
Every rectangle is a rhombus
f)
Every rhombus is a parallelogram
g)
Every parallelogram is a rectangle
(i)
{a,b,c,d,f}
(ii)
{e,d,f}
(iii)
{e,g,c}
(iv)
{g,b}
(v)
{e,a}
Question
17
17.
One angle of a parallelogram measures
H
=
69.98°
.
Find the measure of each of its remaining angles.
(i)
I
=
109.02°
,
J
=
68.98°
,
K
=
109.02°
(ii)
I
=
108.02°
,
J
=
67.98°
,
K
=
108.02°
(iii)
I
=
110.02°
,
J
=
69.98°
,
K
=
110.02°
(iv)
I
=
112.02°
,
J
=
71.98°
,
K
=
112.02°
(v)
I
=
111.02°
,
J
=
70.98°
,
K
=
111.02°
Question
18
18.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
IJ
=
(i)
IK
(ii)
JL
(iii)
KL
(iv)
LI
(v)
JK
Question
19
19.
Which of the following have point symmetry ?
a)
trapezium
b)
square
c)
rectangle
d)
quadrilateral
e)
parallelogram
f)
rhombus
(i)
{a,f,b}
(ii)
{d,c}
(iii)
{a,b}
(iv)
{b,c,e,f}
(v)
{a,d,e}
Question
20
20.
In the adjoining figure,
EFGH
is a parallelogram and
IJ
is such that
IJ
∥
EG
If
∠EHI = 29.63°
and
∠GHJ = 19.66°
,
find the measure of
∠EFG
.
(i)
131.71°
(ii)
132.71°
(iii)
128.71°
(iv)
129.71°
(v)
130.71°
Question
21
21.
The number of diagonals in a regular polygon with n sides is
(i)
(
n
)
(
n
+
2
)
2
(ii)
(
n
)
(
n
−
3
)
2
(iii)
(
n
)
(
n
+
3
)
2
(iv)
(
n
)
(
n
−
2
)
2
(v)
(
n
)
(
n
−
1
)
2
Question
22
22.
In the adjoining figure,
JKLM
is a parallelogram in which
∠MJL = 30.54°
,
∠LJK = 41.99°
,
∠MNL = 74.04°
. Calculate
∠KLJ
(i)
31.54°
(ii)
30.54°
(iii)
28.54°
(iv)
32.54°
(v)
29.54°
Question
23
23.
The opposite sides of the quadrilateral are
(i)
LN
&
OM
,
NO
&
ML
(ii)
LN
&
MO
,
NM
&
OL
(iii)
LM
&
NO
,
MN
&
OL
(iv)
LM
&
OP
,
MO
&
PL
(v)
LM
&
NP
,
MN
&
PL
Question
24
24.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
JK
∥
(i)
KL
(ii)
IJ
(iii)
LI
(iv)
JL
Question
25
25.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠KLM
=
(i)
∠LMJ
(ii)
∠JKN
(iii)
∠JKL
(iv)
∠MJK
Assignment Key
1) (i)
2) (ii)
3) (ii)
4) (iii)
5) (iii)
6) (iv)
7) (iii)
8) (i)
9) (iii)
10) (iii)
11) (iv)
12) (i)
13) (ii)
14) (ii)
15) (i)
16) (i)
17) (iii)
18) (iii)
19) (iv)
20) (v)
21) (ii)
22) (ii)
23) (iii)
24) (iii)
25) (iv)
