EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
Name all quadrilaterals whose diagonals are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rhombus
(iii)
square,rectangle
(iv)
square,kite
(v)
rectangle,rhombus
Question
2
2.
In the adjoining figure,
ABCD
is a rhombus whose diagonals intersect at
O
.
If
∠OAB
:
∠ABO
=
2 : 3
,
find the angles of
△OAB
.
(i)
O
=
90°
,
A
=
34°
,
B
=
56°
(ii)
O
=
92°
,
A
=
36°
,
B
=
52°
(iii)
O
=
88°
,
A
=
38°
,
B
=
54°
(iv)
O
=
90°
,
A
=
36°
,
B
=
54°
(v)
O
=
88°
,
A
=
36°
,
B
=
56°
Question
3
3.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠LPO
≠
(i)
∠NPM
(ii)
∠OLM
(iii)
∠OPN
(iv)
∠MPL
Question
4
4.
Which of the following statements are true?
a)
In a parallelogram, both adjacent angles can be obtuse
b)
In a parallelogram, adjacent angles are complementary
c)
In a parallelogram, adjacent angles are supplementary
d)
In a parallelogram, both adjacent angles can be right angles
e)
In a parallelogram, both adjacent angles can be acute
(i)
{b,d}
(ii)
{a,c}
(iii)
{b,d,c}
(iv)
{e,a,c}
(v)
{c,d}
Question
5
5.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GEF
≠
(i)
∠CGF
(ii)
∠FCG
(iii)
∠GCD
(iv)
∠DEG
Question
6
6.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
RO
=
(i)
OP
(ii)
PQ
(iii)
QR
(iv)
PR
(v)
OQ
Question
7
7.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠KGH
≠
(i)
∠GKJ
(ii)
∠KIJ
(iii)
∠JGK
(iv)
∠HIK
Question
8
8.
In the given figure
△GHI
,
J
is the mid-point of
GH
and
JK
∥
HI
,
then
KI
=
(i)
GJ
(ii)
GH
(iii)
JH
(iv)
GK
(v)
IG
Question
9
9.
In the given figure
△EFG
,
H
is the mid-point of
EF
and
HI
∥
FG
,
then
EI
=
(i)
EF
2
(ii)
GE
2
(iii)
FG
(iv)
EH
(v)
FG
2
Question
10
10.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
△SPQ
≅
(i)
△QRS
(ii)
△PQT
(iii)
△PQR
(iv)
△RSP
(v)
△RST
Question
11
11.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
△OLK
≅
(i)
△OMN
(ii)
△OML
(iii)
△NLM
(iv)
△ONK
(v)
△NLK
Question
12
12.
The measures of three angles of a quadrilateral are
46.95°
,
123.11°
and
45.21°
. Find the fourth angle
(i)
144.73°
(ii)
159.73°
(iii)
149.73°
(iv)
154.73°
(v)
174.73°
Question
13
13.
In the given figure, l, m & n are three straight lines such that AF ∥ BE ∥ CD and DP ∥ EQ ∥ FR.Given x = 12 cm, y = 10 cm and b = 12 cm, find 'a'
(i)
10.00 cm
(ii)
11.00 cm
(iii)
9.00 cm
(iv)
12.00 cm
(v)
8.00 cm
Question
14
14.
In the adjoining figure,
ABCD
is a parallelogram in which
∠DAC = 42.47°
,
∠CAB = 47.12°
,
∠DEC = 85.75°
. Calculate
∠ABD
(i)
45.13°
(ii)
49.13°
(iii)
47.13°
(iv)
46.13°
(v)
48.13°
Question
15
15.
In the given figure
△BCD
,
E
is the mid-point of
BC
and
EF
∥
CD
,
then
BF
=
(i)
BE
(ii)
BC
(iii)
EC
(iv)
DB
(v)
FD
Question
16
16.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
△OKL
≇
(i)
△OMN
(ii)
△NKL
(iii)
△OKN
(iv)
△OML
Question
17
17.
In the given figure, GHIJ is a parallelogram. The bisector of the angles G, H, I & J intersect at P, Q, R & S to form a quadrilateral. Find ∠RSP
(i)
92°
(ii)
88°
(iii)
89°
(iv)
91°
(v)
90°
Question
18
18.
Name all quadrilaterals whose diagonals bisect each other
(i)
square,rectangle
(ii)
square,parallelogram
(iii)
rectangle,rhombus
(iv)
square,rhombus
(v)
parallelogram,square,rhombus,rectangle
Question
19
19.
The adjacent sides of the quadrilateral are
(i)
DF
&
FE
,
FE
&
EG
,
EG
&
GD
,
GD
&
DF
(ii)
DE
&
EF
,
EF
&
FH
,
FH
&
HD
,
HD
&
DE
(iii)
DE
&
EF
,
EF
&
FG
,
FG
&
GD
,
GD
&
DE
(iv)
DE
&
EG
,
EG
&
GH
,
GH
&
HD
,
HD
&
DE
(v)
DF
&
FG
,
FG
&
GE
,
GE
&
ED
,
ED
&
DF
Question
20
20.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠FCD
=
(i)
∠CDE
(ii)
∠DEF
(iii)
∠EFG
(iv)
∠CDG
(v)
∠EFC
Question
21
21.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are perpendicular to each other
b)
Diagonals are equal to each other
c)
Adjacent angles are supplementary
d)
Opposite sides are equal
e)
Diagonals bisect each other
f)
Opposite angles are equal
(i)
{a,c}
(ii)
{c,d,e,f}
(iii)
{b,d}
(iv)
{a,f,c}
(v)
{a,b,e}
Question
22
22.
In the given figure, LMNO is a trapezium. P and Q are mid-points of LO and MN.Given LM = 19 cm and NO = 9 cm, find PQ
(i)
13.0 cm
(ii)
15.0 cm
(iii)
12.0 cm
(iv)
16.0 cm
(v)
14.0 cm
Question
23
23.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
C
=
59°
,
D
=
118°
,
E
=
61°
,
F
=
122°
(ii)
C
=
60°
,
D
=
120°
,
E
=
60°
,
F
=
120°
(iii)
C
=
61°
,
D
=
119°
,
E
=
62°
,
F
=
118°
(iv)
C
=
58°
,
D
=
122°
,
E
=
59°
,
F
=
121°
(v)
C
=
62°
,
D
=
119°
,
E
=
58°
,
F
=
121°
Question
24
24.
In the given parallelogram, which of the following statements are true?
a)
△NPM
≅
△OPM
b)
NQ
=
QO
c)
Q
is the mid point of
NP
d)
Q
is the mid point of
MO
e)
△QPM
≅
△QNO
(i)
{a,b,e}
(ii)
{c,d,e}
(iii)
{a,c,d}
(iv)
{b,d}
(v)
{a,c}
Question
25
25.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PNM
≇
(i)
△PNO
(ii)
△OLM
(iii)
△PLO
(iv)
△PLM
Assignment Key
1) (iii)
2) (iv)
3) (ii)
4) (v)
5) (i)
6) (i)
7) (i)
8) (iv)
9) (ii)
10) (i)
11) (iv)
12) (i)
13) (i)
14) (iii)
15) (v)
16) (ii)
17) (v)
18) (v)
19) (iii)
20) (ii)
21) (ii)
22) (v)
23) (ii)
24) (ii)
25) (ii)
