EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The sides of the rectangle are
(i)
OP
,
PQ
,
QR
,
RO
(ii)
OQ
,
QP
,
PR
,
RO
(iii)
OP
,
PQ
,
QS
,
SO
(iv)
OQ
,
QR
,
RP
,
PO
(v)
OP
,
PR
,
RS
,
SO
Question
2
2.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
△PQN
≅
(i)
△OPQ
(ii)
△RNO
(iii)
△QNO
(iv)
△NOP
Question
3
3.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△NKL
≅
(i)
△KLM
(ii)
△OKL
(iii)
△LMN
(iv)
△MNK
Question
4
4.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△ABC
≅
(i)
△BCD
(ii)
△CDE
(iii)
△CDA
(iv)
△ABE
(v)
△DAB
Question
5
5.
Every rhombus is a
a)
parallelogram
b)
trapezium
c)
square
d)
triangle
e)
rectangle
(i)
{a,b}
(ii)
{d,b}
(iii)
{e,c,a}
(iv)
{c,a}
(v)
{d,b,a}
Question
6
6.
The adjacent angles of the kite are
(i)
∠B & ∠C , ∠C & ∠E , ∠E & ∠F , ∠F & ∠B
(ii)
∠B & ∠D , ∠D & ∠E , ∠E & ∠C , ∠C & ∠B
(iii)
∠B & ∠D , ∠D & ∠C , ∠C & ∠E , ∠E & ∠B
(iv)
∠B & ∠C , ∠C & ∠D , ∠D & ∠F , ∠F & ∠B
(v)
∠B & ∠C , ∠C & ∠D , ∠D & ∠E , ∠E & ∠B
Question
7
7.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
∠KIJ
=
(i)
∠JGK
(ii)
∠KIH
(iii)
∠HGK
(iv)
∠JKI
(v)
∠GKJ
Question
8
8.
The name of the parallelogram is
(i)
BCDF
(ii)
BDEC
(iii)
BDCE
(iv)
BCDE
(v)
BCEF
Question
9
9.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
△HIF
≅
(i)
△HIJ
(ii)
△FGH
(iii)
△FGJ
(iv)
△IFG
(v)
△GHI
Question
10
10.
In the figure given below,
GHIJ
is a rhombus.
Find the values of x and y
(i)
x
=
33.78°
,
y
=
60.22°
(ii)
x
=
32.78°
,
y
=
59.22°
(iii)
x
=
30.78°
,
y
=
57.22°
(iv)
x
=
29.78°
,
y
=
56.22°
(v)
x
=
31.78°
,
y
=
58.22°
Question
11
11.
Which of the following figures is a regular quadrilateral?
(i)
square
(ii)
trapezium
(iii)
parallelogram
(iv)
rectangle
(v)
rhombus
Question
12
12.
The opposite sides of the square are
(i)
IJ
&
KL
,
JK
&
LI
(ii)
IJ
&
LM
,
JL
&
MI
(iii)
IK
&
LJ
,
KL
&
JI
(iv)
IK
&
JL
,
KJ
&
LI
(v)
IJ
&
KM
,
JK
&
MI
Question
13
13.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
(i)
rectangle
(ii)
rhombus
(iii)
square
(iv)
trapezium
(v)
None of these
Question
14
14.
The opposite angles of the rhombus are
(i)
∠F & ∠H , ∠G & ∠J
(ii)
∠F & ∠G , ∠H & ∠I
(iii)
∠F & ∠H , ∠G & ∠I
(iv)
∠F & ∠I , ∠H & ∠G
(v)
∠F & ∠I , ∠G & ∠J
Question
15
15.
Name all quadrilaterals whose all sides are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rectangle
(iii)
rectangle,rhombus
(iv)
square,rhombus
(v)
square,parallelogram
Question
16
16.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
△BCD
≅
(i)
△ABE
(ii)
△DAB
(iii)
△CDE
(iv)
△CDA
(v)
△ABC
Question
17
17.
The angles of the trapezium are
(i)
∠B , ∠C , ∠D , ∠E
(ii)
∠B , ∠C , ∠D , ∠F
(iii)
∠B , ∠C , ∠E , ∠F
(iv)
∠B , ∠C , ∠D , ∠G
(v)
∠B , ∠C , ∠E , ∠G
Question
18
18.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠LMN
=
(i)
∠NOL
(ii)
∠LMP
(iii)
∠OLM
(iv)
∠NOP
(v)
∠MNO
Question
19
19.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRS
≇
(i)
△TRQ
(ii)
△TPQ
(iii)
△SPQ
(iv)
△TPS
Question
20
20.
The angles of the kite are
(i)
∠N , ∠O , ∠Q , ∠S
(ii)
∠N , ∠O , ∠P , ∠R
(iii)
∠N , ∠O , ∠P , ∠S
(iv)
∠N , ∠O , ∠P , ∠Q
(v)
∠N , ∠O , ∠Q , ∠R
Question
21
21.
In the given figure, DEFG is a quadrilateral. TG and TF are bisectors of ∠G & ∠F meeting at T. Find ∠FTG
(i)
93.0°
(ii)
92.0°
(iii)
96.0°
(iv)
94.0°
(v)
95.0°
Question
22
22.
In the given figure, BCDE is a parallelogram. BD bisects ∠B & ∠D.
Given
BD = 12 cm
and
CE = 8 cm
, find
BC
(i)
5.21 cm
(ii)
8.21 cm
(iii)
9.21 cm
(iv)
6.21 cm
(v)
7.21 cm
Question
23
23.
In the given figure, GHIJ is a parallelogram. The bisector of the angles G, H, I & J intersect at T, U, V & W to form a quadrilateral. Find ∠UVW
(i)
92°
(ii)
91°
(iii)
88°
(iv)
89°
(v)
90°
Question
24
24.
In the given figure, DEFG is a parallelogram. DM and FN are perpendicular to the diagonal EG. Given ∠NFG = 36°, find ∠GED
(i)
56°
(ii)
52°
(iii)
55°
(iv)
53°
(v)
54°
Question
25
25.
The adjacent sides of the quadrilateral are
(i)
CD
&
DF
,
DF
&
FG
,
FG
&
GC
,
GC
&
CD
(ii)
CE
&
ED
,
ED
&
DF
,
DF
&
FC
,
FC
&
CE
(iii)
CD
&
DE
,
DE
&
EF
,
EF
&
FC
,
FC
&
CD
(iv)
CD
&
DE
,
DE
&
EG
,
EG
&
GC
,
GC
&
CD
(v)
CE
&
EF
,
EF
&
FD
,
FD
&
DC
,
DC
&
CE
Assignment Key
1) (i)
2) (iv)
3) (iii)
4) (iii)
5) (i)
6) (v)
7) (ii)
8) (iv)
9) (ii)
10) (v)
11) (i)
12) (i)
13) (iii)
14) (iii)
15) (iv)
16) (ii)
17) (i)
18) (i)
19) (iii)
20) (iv)
21) (iv)
22) (v)
23) (v)
24) (v)
25) (iii)