EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
A quadrilateral has three acute angles, each measuring 66°. What is the measure of its fourth angle?
(i)
164.00°
(ii)
161.00°
(iii)
163.00°
(iv)
162.00°
(v)
160.00°
Question
2
2.
In kite
ABCD
,
AC
and
BD
are diagonals. Then
△ECB
≅
(i)
△DBA
(ii)
△EBA
(iii)
△DBC
(iv)
△EDA
(v)
△ECD
Question
3
3.
Which of the following have point symmetry ?
a)
parallelogram
b)
rhombus
c)
rectangle
d)
square
e)
trapezium
f)
quadrilateral
(i)
{e,f,c}
(ii)
{a,b,c,d}
(iii)
{f,b}
(iv)
{e,a}
(v)
{e,d,a}
Question
4
4.
In the given figure, ABCD is a rhombus. Given x = 51°, find the value of 'y'.
(i)
37°
(ii)
39°
(iii)
38°
(iv)
41°
(v)
40°
Question
5
5.
DEFG is a quadrilateral. Q, R, S and T are mid-points of DE, EF, FG and GD respectively.If DF = 30 cm and EG = 20 cm, find the measure of the sides of QRST.
(i)
15 cm
,
8 cm
,
15 cm
,
8 cm
(ii)
15 cm
,
10 cm
,
15 cm
,
10 cm
(iii)
16 cm
,
10 cm
,
16 cm
,
10 cm
(iv)
15 cm
,
9 cm
,
15 cm
,
9 cm
(v)
18 cm
,
10 cm
,
18 cm
,
10 cm
Question
6
6.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
IJ
=
(i)
JK
(ii)
HJ
(iii)
HI
(iv)
KH
(v)
IK
Question
7
7.
In the given figure,
FGHI
is a kite whose diagonals intersect at
J
.
If
∠IFG = 70.27°
and
∠FGH = 116.51°
, calculate
∠JIF
and
∠JHI
.
(i)
x
=
55.87°
,
y
=
29.35°
(ii)
x
=
53.87°
,
y
=
27.35°
(iii)
x
=
52.87°
,
y
=
26.35°
(iv)
x
=
56.87°
,
y
=
30.35°
(v)
x
=
54.87°
,
y
=
28.35°
Question
8
8.
The adjacent angles of the parallelogram are
(i)
∠D & ∠E , ∠E & ∠F , ∠F & ∠G , ∠G & ∠D
(ii)
∠D & ∠E , ∠E & ∠F , ∠F & ∠H , ∠H & ∠D
(iii)
∠D & ∠F , ∠F & ∠E , ∠E & ∠G , ∠G & ∠D
(iv)
∠D & ∠E , ∠E & ∠G , ∠G & ∠H , ∠H & ∠D
(v)
∠D & ∠F , ∠F & ∠G , ∠G & ∠E , ∠E & ∠D
Question
9
9.
In the figure given below,
OPQR
is a rhombus.
Find the values of x and y
(i)
x
=
55.09°
,
y
=
55.09°
(ii)
x
=
58.09°
,
y
=
58.09°
(iii)
x
=
57.09°
,
y
=
57.09°
(iv)
x
=
56.09°
,
y
=
56.09°
(v)
x
=
54.09°
,
y
=
54.09°
Question
10
10.
Which of the following properties apply for a trapezium ?
(i)
Diagonals bisect each other
(ii)
One pair of opposite sides are parallel
(iii)
Diagonals are equal
(iv)
Diagonals are perpendicular to each other
(v)
Both adjacent angles are obtuse
Question
11
11.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
rectangle
(ii)
rhombus
(iii)
parallelogram
(iv)
square
Question
12
12.
Two angles of a quadrilateral are of measure 62.97° and 111.63° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
91.70°
(ii)
94.70°
(iii)
90.70°
(iv)
92.70°
(v)
93.70°
Question
13
13.
The angles of the quadrilateral are
(i)
∠D , ∠E , ∠G , ∠H
(ii)
∠D , ∠E , ∠G , ∠I
(iii)
∠D , ∠E , ∠F , ∠G
(iv)
∠D , ∠E , ∠F , ∠I
(v)
∠D , ∠E , ∠F , ∠H
Question
14
14.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
PM
=
(i)
OP
(ii)
NO
(iii)
MO
(iv)
MN
(v)
NP
Question
15
15.
The opposite sides of the parallelogram are
(i)
AC
&
DB
,
CD
&
BA
(ii)
AB
&
DE
,
BD
&
EA
(iii)
AB
&
CD
,
BC
&
DA
(iv)
AB
&
CE
,
BC
&
EA
(v)
AC
&
BD
,
CB
&
DA
Question
16
16.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RNO
≠
(i)
∠NRQ
(ii)
∠QNR
(iii)
∠OPR
(iv)
∠RPQ
Question
17
17.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OML
≇
(i)
△NKL
(ii)
△OKN
(iii)
△OMN
(iv)
△OKL
Question
18
18.
In the given figure, ABCD is a parallelogram. BD is the diagonal
such that
AD = BD = BC
. Given
∠A = 59°
, find
∠DBC
(i)
64°
(ii)
61°
(iii)
63°
(iv)
60°
(v)
62°
Question
19
19.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
SP
∥
(i)
QR
(ii)
RS
(iii)
QS
(iv)
PQ
Question
20
20.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KL
=
(i)
KH
(ii)
IL
(iii)
HL
(iv)
JL
Question
21
21.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
≠
(i)
LM
(ii)
MO
(iii)
MN
(iv)
NO
Question
22
22.
The diagonals of the quadrilateral are
(i)
DG
,
CF
(ii)
EF
,
CD
(iii)
DG
,
CE
(iv)
ED
,
CF
(v)
DF
,
CE
Question
23
23.
Find the missing angle in the given rhombus
(i)
86.88°
(ii)
76.88°
(iii)
101.88°
(iv)
81.88°
(v)
71.88°
Question
24
24.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given b = 12 cm, x = 12 cm and y = 10 cm, find 'a'
(i)
9.00 cm
(ii)
8.00 cm
(iii)
10.00 cm
(iv)
12.00 cm
(v)
11.00 cm
Question
25
25.
Name all quadrilaterals whose all angles are right angles
(i)
square,parallelogram
(ii)
square,rhombus
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,kite
(v)
square,rectangle
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (ii)
5) (ii)
6) (iv)
7) (v)
8) (i)
9) (iv)
10) (ii)
11) (i)
12) (iv)
13) (iii)
14) (iv)
15) (iii)
16) (i)
17) (i)
18) (v)
19) (i)
20) (ii)
21) (ii)
22) (v)
23) (v)
24) (iii)
25) (v)
