EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The adjacent angles of the parallelogram are
(i)
∠A & ∠C , ∠C & ∠D , ∠D & ∠B , ∠B & ∠A
(ii)
∠A & ∠C , ∠C & ∠B , ∠B & ∠D , ∠D & ∠A
(iii)
∠A & ∠B , ∠B & ∠C , ∠C & ∠D , ∠D & ∠A
(iv)
∠A & ∠B , ∠B & ∠D , ∠D & ∠E , ∠E & ∠A
(v)
∠A & ∠B , ∠B & ∠C , ∠C & ∠E , ∠E & ∠A
Question
2
2.
Name all quadrilaterals whose all angles are equal
(i)
square,rhombus
(ii)
parallelogram,square,rhombus,rectangle
(iii)
rectangle,rhombus
(iv)
square,rectangle
(v)
square,kite
Question
3
3.
Identify the figure below
(i)
rhombus
(ii)
triangle
(iii)
parallelogram
(iv)
rectangle
(v)
square
Question
4
4.
CDEF is a rhombus. M, N, O and P are mid-points of sides CD, DE, EF and FC. Find ∠NOP
(i)
91°
(ii)
90°
(iii)
92°
(iv)
88°
(v)
89°
Question
5
5.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rhombus
(iii)
square,parallelogram
(iv)
rectangle,rhombus
(v)
square,rectangle
Question
6
6.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
△FDC
≇
(i)
△FBE
(ii)
△EBC
(iii)
△FBC
(iv)
△FDE
Question
7
7.
Two adjacent angles of a parallelogram BCDE are in the ratio 6 : 24. Find the measure of each of its angles.
(i)
B
=
35°
,
C
=
142°
,
D
=
37°
,
E
=
146°
(ii)
B
=
36°
,
C
=
144°
,
D
=
36°
,
E
=
144°
(iii)
B
=
37°
,
C
=
143°
,
D
=
38°
,
E
=
142°
(iv)
B
=
38°
,
C
=
143°
,
D
=
34°
,
E
=
145°
(v)
B
=
34°
,
C
=
146°
,
D
=
35°
,
E
=
145°
Question
8
8.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
CD
≠
(i)
AB
(ii)
BC
(iii)
BD
(iv)
DA
Question
9
9.
In rhombus
NOPQ
, diagonals
NP
and
OQ
intersect at
R
. Then
∠RNO
≠
(i)
∠RPQ
(ii)
∠QNR
(iii)
∠OPR
(iv)
∠NRQ
Question
10
10.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△GEF
≇
(i)
△FCD
(ii)
△GCD
(iii)
△GED
(iv)
△GCF
Question
11
11.
Every rhombus is a
a)
triangle
b)
trapezium
c)
square
d)
parallelogram
e)
rectangle
(i)
{b,d}
(ii)
{a,b}
(iii)
{c,d}
(iv)
{e,a,b}
(v)
{c,d,b}
Question
12
12.
In the given figure
△ABC
,
D
is the mid-point of
AB
and
DE
∥
BC
,
then
AD
=
(i)
CA
2
(ii)
AB
2
(iii)
AE
(iv)
BC
2
(v)
BC
Question
13
13.
Which of the following is a regular polygon with four sides?
(i)
square
(ii)
trapezium
(iii)
rectangle
(iv)
parallelogram
(v)
rhombus
Question
14
14.
The vertices of the quadrilateral are
(i)
A , B , C , F
(ii)
A , B , D , E
(iii)
A , B , C , E
(iv)
A , B , C , D
(v)
A , B , D , F
Question
15
15.
Name all quadrilaterals whose opposite angles are equal
(i)
square,kite
(ii)
square,rectangle
(iii)
square,parallelogram
(iv)
parallelogram,square,rhombus,rectangle
(v)
rectangle,rhombus
Question
16
16.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
∠POS
=
(i)
∠OSR
(ii)
∠ROS
(iii)
∠SQR
(iv)
∠RSQ
(v)
∠SQP
Question
17
17.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
△IEF
≇
(i)
△IGH
(ii)
△HEF
(iii)
△IEH
(iv)
△IGF
Question
18
18.
Sum of the interior angles in a quadrilateral is
(i)
365°
(ii)
375°
(iii)
390°
(iv)
360°
(v)
370°
Question
19
19.
How many diagonals does a quadrilateral have?
(i)
3
(ii)
0
(iii)
4
(iv)
2
(v)
1
Question
20
20.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
QR
=
(i)
OP
(ii)
PQ
(iii)
RO
(iv)
PR
(v)
OQ
Question
21
21.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
△IGH
≅
(i)
△IFE
(ii)
△IGF
(iii)
△IHE
(iv)
△HFE
(v)
△HFG
Question
22
22.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
KL
=
(i)
NK
(ii)
LN
(iii)
MN
(iv)
LM
(v)
KM
Question
23
23.
The angles of a quadrilateral KLMN are in the ratio 9 : 5 : 10 : 12. Find the measure of each angle of the quadrilateral.
(i)
K
=
92°
,
L
=
49°
,
M
=
98°
,
N
=
121°
(ii)
K
=
91°
,
L
=
49°
,
M
=
102°
,
N
=
118°
(iii)
K
=
89°
,
L
=
48°
,
M
=
101°
,
N
=
122°
(iv)
K
=
88°
,
L
=
52°
,
M
=
99°
,
N
=
121°
(v)
K
=
90°
,
L
=
50°
,
M
=
100°
,
N
=
120°
Question
24
24.
In the adjoining figure,
ABCD
is a kite in which
AB
=
DA
,
BC
=
CD
and the diagonals
BD
and
AC
intersect at
O
.
If ∠OCD = 43.48° and ∠ABO = 57.7°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 46.52° , b = 33.3° , c = 56.7° , d = 46.52° , e = 43.48°
(ii)
a = 46.52° , b = 33.3° , c = 56.7° , d = 48.52° , e = 41.48°
(iii)
a = 46.52° , b = 32.3° , c = 57.7° , d = 46.52° , e = 43.48°
(iv)
a = 46.52° , b = 33.3° , c = 56.7° , d = 48.52° , e = 43.48°
(v)
a = 46.52° , b = 33.3° , c = 57.7° , d = 46.52° , e = 43.48°
Question
25
25.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
∠EFG
=
(i)
∠EFI
(ii)
∠HEF
(iii)
∠GHE
(iv)
∠FGH
(v)
∠GHI
Assignment Key
1) (iii)
2) (iv)
3) (iii)
4) (ii)
5) (i)
6) (ii)
7) (ii)
8) (iii)
9) (iv)
10) (i)
11) (i)
12) (ii)
13) (i)
14) (iv)
15) (iv)
16) (ii)
17) (ii)
18) (iv)
19) (iv)
20) (i)
21) (ii)
22) (i)
23) (v)
24) (iii)
25) (iii)
