EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
In the given figure
△JKL
,
M
is the mid-point of
JK
and
MN
∥
KL
,
then
JM
=
(i)
NL
(ii)
JN
(iii)
JK
(iv)
LJ
(v)
MK
Question
2
2.
The adjacent angles of the parallelogram are
(i)
∠N & ∠O , ∠O & ∠P , ∠P & ∠R , ∠R & ∠N
(ii)
∠N & ∠O , ∠O & ∠Q , ∠Q & ∠R , ∠R & ∠N
(iii)
∠N & ∠P , ∠P & ∠O , ∠O & ∠Q , ∠Q & ∠N
(iv)
∠N & ∠P , ∠P & ∠Q , ∠Q & ∠O , ∠O & ∠N
(v)
∠N & ∠O , ∠O & ∠P , ∠P & ∠Q , ∠Q & ∠N
Question
3
3.
The diagonals of the parallelogram are
(i)
NQ
,
MP
(ii)
OP
,
MN
(iii)
NP
,
MO
(iv)
NQ
,
MO
(v)
ON
,
MP
Question
4
4.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
QR
=
(i)
QN
(ii)
NR
(iii)
OP
(iv)
OR
(v)
PR
Question
5
5.
The sides of the kite are
(i)
PQ
,
QR
,
RT
,
TP
(ii)
PQ
,
QR
,
RS
,
SP
(iii)
PR
,
RQ
,
QS
,
SP
(iv)
PQ
,
QS
,
ST
,
TP
(v)
PR
,
RS
,
SQ
,
QP
Question
6
6.
Name all quadrilaterals whose opposite angles are equal
(i)
rectangle,rhombus
(ii)
square,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,rectangle
(v)
square,parallelogram
Question
7
7.
In the given figure, CDEF is a quadrilateral. TF and TE are bisectors of ∠F & ∠E meeting at T. Find ∠ETF
(i)
92.0°
(ii)
93.0°
(iii)
96.0°
(iv)
94.0°
(v)
95.0°
Question
8
8.
The adjacent sides of the trapezium are
(i)
DE
&
EG
,
EG
&
GH
,
GH
&
HD
,
HD
&
DE
(ii)
DE
&
EF
,
EF
&
FH
,
FH
&
HD
,
HD
&
DE
(iii)
DE
&
EF
,
EF
&
FG
,
FG
&
GD
,
GD
&
DE
(iv)
DF
&
FE
,
FE
&
EG
,
EG
&
GD
,
GD
&
DF
(v)
DF
&
FG
,
FG
&
GE
,
GE
&
ED
,
ED
&
DF
Question
9
9.
If one of the angles of a rhombus is a right angle, it is a
(i)
parallelogram
(ii)
trapezium
(iii)
rectangle
(iv)
None of these
(v)
square
Question
10
10.
Name all quadrilaterals whose diagonals are equal
(i)
square,rectangle
(ii)
square,rhombus
(iii)
rectangle,rhombus
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,kite
Question
11
11.
In the figure given below,
ABCD
is a rhombus.
Find the values of x and y
(i)
x
=
66.85°
,
y
=
66.85°
(ii)
x
=
64.85°
,
y
=
64.85°
(iii)
x
=
63.85°
,
y
=
63.85°
(iv)
x
=
65.85°
,
y
=
65.85°
(v)
x
=
62.85°
,
y
=
62.85°
Question
12
12.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△MLK
≅
(i)
△ONK
(ii)
△OML
(iii)
△NLM
(iv)
△NLK
(v)
△MNK
Question
13
13.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
square,rectangle
(ii)
square,kite
(iii)
square,rhombus
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,parallelogram
Question
14
14.
Name all quadrilaterals whose diagonals bisect each other
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,kite
(iii)
square,parallelogram
(iv)
rectangle,rhombus
(v)
square,rhombus
Question
15
15.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
∠HIL
≠
(i)
∠JKL
(ii)
∠LKH
(iii)
∠KLJ
(iv)
∠LIJ
Question
16
16.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are equal to each other
b)
Diagonals are perpendicular to each other
c)
Diagonals bisect each other
d)
Opposite angles are equal
e)
Adjacent angles are supplementary
f)
Opposite sides are equal
(i)
{a,f,c}
(ii)
{a,b,e}
(iii)
{a,c}
(iv)
{b,d}
(v)
{c,d,e,f}
Question
17
17.
Find the missing angle in the given rhombus
(i)
108.12°
(ii)
113.12°
(iii)
138.12°
(iv)
118.12°
(v)
123.12°
Question
18
18.
Two angles of a quadrilateral are of measure 88.27° and 86.52° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
91.61°
(ii)
93.61°
(iii)
92.61°
(iv)
90.61°
(v)
94.61°
Question
19
19.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CDE
≠
(i)
∠EBC
(ii)
∠ABE
(iii)
∠DEC
(iv)
∠EDA
Question
20
20.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
EB
∥
(i)
CD
(ii)
DE
(iii)
BC
(iv)
CE
Question
21
21.
Name all quadrilaterals whose all angles are right angles
(i)
square,rhombus
(ii)
square,kite
(iii)
square,rectangle
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,parallelogram
Question
22
22.
In which of the following are the diagonals equal ?
(i)
rectangle
(ii)
rhombus
(iii)
trapezium
(iv)
parallelogram
(v)
None of these
Question
23
23.
The vertices of the trapezium are
(i)
M , N , O , R
(ii)
M , N , P , Q
(iii)
M , N , P , R
(iv)
M , N , O , P
(v)
M , N , O , Q
Question
24
24.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
△HFE
≅
(i)
△HGD
(ii)
△HED
(iii)
△GED
(iv)
△HFG
(v)
△GEF
Question
25
25.
The quadrilateral whose diagonals are equal and are perpendicular bisectors is a
(i)
trapezium
(ii)
parallelogram
(iii)
square
(iv)
rhombus
(v)
rectangle
Assignment Key
1) (v)
2) (v)
3) (iii)
4) (iv)
5) (ii)
6) (iii)
7) (iv)
8) (iii)
9) (v)
10) (i)
11) (ii)
12) (v)
13) (iv)
14) (i)
15) (iii)
16) (v)
17) (i)
18) (iii)
19) (iii)
20) (i)
21) (iii)
22) (i)
23) (iv)
24) (iv)
25) (iii)
