EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
The adjacent angles of the quadrilateral are
(i)
∠D & ∠F , ∠F & ∠G , ∠G & ∠E , ∠E & ∠D
(ii)
∠D & ∠E , ∠E & ∠F , ∠F & ∠H , ∠H & ∠D
(iii)
∠D & ∠E , ∠E & ∠F , ∠F & ∠G , ∠G & ∠D
(iv)
∠D & ∠E , ∠E & ∠G , ∠G & ∠H , ∠H & ∠D
(v)
∠D & ∠F , ∠F & ∠E , ∠E & ∠G , ∠G & ∠D
Question
2
2.
In the adjoining figure,
FGHI
is a parallelogram in which
∠IFH = 31.98°
,
∠HFG = 34.88°
,
∠IJH = 85.49°
. Calculate
∠HIG
(i)
61.63°
(ii)
57.63°
(iii)
60.63°
(iv)
58.63°
(v)
59.63°
Question
3
3.
The diagonals of the trapezium are
(i)
CD
,
AB
(ii)
BD
,
AC
(iii)
CB
,
AD
(iv)
BE
,
AC
(v)
BE
,
AD
Question
4
4.
The opposite sides of the rectangle are
(i)
CD
&
EF
,
DE
&
FC
(ii)
CD
&
FG
,
DF
&
GC
(iii)
CE
&
FD
,
EF
&
DC
(iv)
CE
&
DF
,
ED
&
FC
(v)
CD
&
EG
,
DE
&
GC
Question
5
5.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
CF
=
(i)
EB
(ii)
BF
(iii)
DF
(iv)
EF
Question
6
6.
The angles of a quadrilateral JKLM are in the ratio 7 : 5 : 11 : 13. Find the measure of each angle of the quadrilateral.
(i)
J
=
71°
,
K
=
49°
,
L
=
112°
,
M
=
128°
(ii)
J
=
69°
,
K
=
48°
,
L
=
111°
,
M
=
132°
(iii)
J
=
68°
,
K
=
52°
,
L
=
109°
,
M
=
131°
(iv)
J
=
70°
,
K
=
50°
,
L
=
110°
,
M
=
130°
(v)
J
=
72°
,
K
=
49°
,
L
=
108°
,
M
=
131°
Question
7
7.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
△ABC
≅
(i)
△DAB
(ii)
△CDA
(iii)
△BCD
(iv)
△EAB
Question
8
8.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
∠JKH
=
(i)
∠HIJ
(ii)
∠HIL
(iii)
∠JKL
(iv)
∠IJK
(v)
∠KHI
Question
9
9.
The name of the square is
(i)
OQRP
(ii)
OPQS
(iii)
OQPR
(iv)
OPRS
(v)
OPQR
Question
10
10.
The vertices of the rectangle are
(i)
O , P , Q , S
(ii)
O , P , Q , R
(iii)
O , P , R , S
(iv)
O , P , R , T
(v)
O , P , Q , T
Question
11
11.
In the figure given below,
BCDE
is a rectangle.
Find the values of x and y
(i)
x
=
39.92°
,
y
=
80.84°
(ii)
x
=
38.92°
,
y
=
79.84°
(iii)
x
=
41.92°
,
y
=
82.84°
(iv)
x
=
42.92°
,
y
=
83.84°
(v)
x
=
40.92°
,
y
=
81.84°
Question
12
12.
The adjacent angles of the kite are
(i)
∠D & ∠E , ∠E & ∠F , ∠F & ∠H , ∠H & ∠D
(ii)
∠D & ∠E , ∠E & ∠G , ∠G & ∠H , ∠H & ∠D
(iii)
∠D & ∠F , ∠F & ∠G , ∠G & ∠E , ∠E & ∠D
(iv)
∠D & ∠E , ∠E & ∠F , ∠F & ∠G , ∠G & ∠D
(v)
∠D & ∠F , ∠F & ∠E , ∠E & ∠G , ∠G & ∠D
Question
13
13.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠EBF
=
(i)
∠CBF
(ii)
∠FDC
(iii)
∠FDE
(iv)
∠EFD
(v)
∠BFE
Question
14
14.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
△POL
≅
(i)
△PML
(ii)
△OML
(iii)
△PNM
(iv)
△PNO
(v)
△OMN
Question
15
15.
Name all quadrilaterals whose diagonals are equal
(i)
square,rhombus
(ii)
square,rectangle
(iii)
rectangle,rhombus
(iv)
square,kite
(v)
parallelogram,square,rhombus,rectangle
Question
16
16.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠MNK
=
(i)
∠KLM
(ii)
∠KNL
(iii)
∠KON
(iv)
∠MNL
(v)
∠KOL
Question
17
17.
Identify the figure below
(i)
square
(ii)
rectangle
(iii)
quadrilateral
(iv)
angle
(v)
parallelogram
Question
18
18.
The vertices of the parallelogram are
(i)
I , J , L , M
(ii)
I , J , L , N
(iii)
I , J , K , L
(iv)
I , J , K , N
(v)
I , J , K , M
Question
19
19.
In the figure given below,
PQRS
is a rhombus.
Find the values of x and y
(i)
x
=
44.57°
,
y
=
44.57°
(ii)
x
=
43.57°
,
y
=
43.57°
(iii)
x
=
47.57°
,
y
=
47.57°
(iv)
x
=
46.57°
,
y
=
46.57°
(v)
x
=
45.57°
,
y
=
45.57°
Question
20
20.
The opposite angles of the trapezium are
(i)
∠O & ∠R , ∠Q & ∠P
(ii)
∠O & ∠R , ∠P & ∠S
(iii)
∠O & ∠Q , ∠P & ∠S
(iv)
∠O & ∠P , ∠Q & ∠R
(v)
∠O & ∠Q , ∠P & ∠R
Question
21
21.
Which of the following statements are true?
a)
Every rhombus is parallelogram
b)
Every rectangle is a parallelogram
c)
Every square is a rectangle
d)
Every parallelogram is a rectangle
e)
Every rectangle is a rhombus
(i)
{d,e,c}
(ii)
{a,b,c}
(iii)
{d,a}
(iv)
{d,a,b}
(v)
{e,b}
Question
22
22.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TSP
≠
(i)
∠RST
(ii)
∠TQR
(iii)
∠STR
(iv)
∠PQT
Question
23
23.
The opposite angles of the parallelogram are
(i)
∠E & ∠F , ∠G & ∠H
(ii)
∠E & ∠H , ∠G & ∠F
(iii)
∠E & ∠G , ∠F & ∠H
(iv)
∠E & ∠G , ∠F & ∠I
(v)
∠E & ∠H , ∠F & ∠I
Question
24
24.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
rectangle
(ii)
square
(iii)
rhombus
(iv)
parallelogram
Question
25
25.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
△QRO
≅
(i)
△SQP
(ii)
△SRO
(iii)
△RPQ
(iv)
△QPO
(v)
△RPO
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (i)
5) (iv)
6) (iv)
7) (ii)
8) (i)
9) (v)
10) (ii)
11) (v)
12) (iv)
13) (i)
14) (i)
15) (ii)
16) (i)
17) (i)
18) (iii)
19) (v)
20) (v)
21) (ii)
22) (iii)
23) (iii)
24) (i)
25) (iv)
