EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Name all quadrilaterals whose opposite sides are parallel
(i)
square,rhombus
(ii)
square,rectangle
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,parallelogram
(v)
rectangle,rhombus
Question
2
2.
Which of the following have point symmetry ?
a)
square
b)
trapezium
c)
quadrilateral
d)
rhombus
e)
parallelogram
f)
rectangle
(i)
{b,c,e}
(ii)
{a,d,e,f}
(iii)
{b,f,a}
(iv)
{b,a}
(v)
{c,d}
Question
3
3.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
RT
=
(i)
QT
(ii)
PT
(iii)
ST
(iv)
SP
Question
4
4.
In the adjoining figure,
LMNO
is a parallelogram in which
∠OLN = 37.75°
,
∠NLM = 47.49°
,
∠OPN = 79.38°
. Calculate
∠OMN
(i)
39.63°
(ii)
43.63°
(iii)
41.63°
(iv)
42.63°
(v)
40.63°
Question
5
5.
Which of the following statements are true?
a)
Every rectangle is a rhombus
b)
Every parallelogram is a rectangle
c)
Every rectangle is a parallelogram
d)
Every square is a rectangle
e)
Every rhombus is parallelogram
(i)
{c,d,e}
(ii)
{a,c}
(iii)
{a,b,e}
(iv)
{a,c,d}
(v)
{b,d}
Question
6
6.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
∠HEF
=
(i)
∠GHE
(ii)
∠EFI
(iii)
∠EFG
(iv)
∠FGH
Question
7
7.
Which of the following are true?
a)
A parallelogram is a rectangle
b)
A parallelogram is a square
c)
A rectangle is a parallelogram
d)
A rectangle is a square
e)
A square is a parallelogram
(i)
{a,c}
(ii)
{c,e}
(iii)
{b,e}
(iv)
{d,a,c}
(v)
{b,e,c}
Question
8
8.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
rectangle,rhombus
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,rhombus
(iv)
square,kite
(v)
square,parallelogram
Question
9
9.
Which of the following is a regular polygon with four sides?
(i)
parallelogram
(ii)
rectangle
(iii)
rhombus
(iv)
trapezium
(v)
square
Question
10
10.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
∠MJN
≠
(i)
∠NJK
(ii)
∠NLM
(iii)
∠KLN
(iv)
∠JNM
Question
11
11.
Two angles of a quadrilateral are of measure 85.62° and 104.34° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
87.02°
(ii)
86.02°
(iii)
83.02°
(iv)
84.02°
(v)
85.02°
Question
12
12.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LPO
=
(i)
∠LOM
(ii)
∠LPM
(iii)
∠NOM
(iv)
∠NOL
(v)
∠LMN
Question
13
13.
CDEF is a quadrilateral. Q, R, S and T are mid-points of CD, DE, EF and FC respectively.If CE = 33 cm and DF = 16 cm, find the measure of the sides of QRST.
(i)
18 cm
,
8 cm
,
18 cm
,
8 cm
(ii)
16.5 cm
,
6 cm
,
16.5 cm
,
6 cm
(iii)
16.5 cm
,
8 cm
,
16.5 cm
,
8 cm
(iv)
17 cm
,
8 cm
,
17 cm
,
8 cm
(v)
16.5 cm
,
7 cm
,
16.5 cm
,
7 cm
Question
14
14.
The adjacent angles of the quadrilateral are
(i)
∠C & ∠D , ∠D & ∠E , ∠E & ∠G , ∠G & ∠C
(ii)
∠C & ∠E , ∠E & ∠D , ∠D & ∠F , ∠F & ∠C
(iii)
∠C & ∠D , ∠D & ∠E , ∠E & ∠F , ∠F & ∠C
(iv)
∠C & ∠E , ∠E & ∠F , ∠F & ∠D , ∠D & ∠C
(v)
∠C & ∠D , ∠D & ∠F , ∠F & ∠G , ∠G & ∠C
Question
15
15.
Which of the following are true?
a)
A trapezium is a square
b)
A square is a trapezium
c)
A parallelogram is a rhombus
d)
A square is a rectangle
e)
A rectangle is a rhombus
(i)
{e,a,b}
(ii)
{c,d,b}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,b}
Question
16
16.
Which of the following are true?
a)
A parallelogram is a trapezium
b)
A trapezium is a parallelogram
c)
A rectangle is a square
d)
A trapezium is a rhombus
e)
A rhombus is a trapezium
(i)
{c,e,a}
(ii)
{a,e}
(iii)
{b,a}
(iv)
{d,b,a}
(v)
{c,e}
Question
17
17.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
GH
=
(i)
IF
(ii)
FH
(iii)
HI
(iv)
FG
(v)
GI
Question
18
18.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠FGH
≠
(i)
∠GHF
(ii)
∠HGD
(iii)
∠DEH
(iv)
∠HEF
Question
19
19.
In the adjoining figure, side GH of parallelogram EFGH has been produced to I. If ∠EHI = 73.37° , find the measure of each angle of the parallelogram.
(i)
E
=
74.37°
,
F
=
105.63°
,
G
=
75.37°
,
H
=
104.63°
(ii)
E
=
75.37°
,
F
=
105.63°
,
G
=
71.37°
,
H
=
107.63°
(iii)
E
=
71.37°
,
F
=
108.63°
,
G
=
72.37°
,
H
=
107.63°
(iv)
E
=
73.37°
,
F
=
106.63°
,
G
=
73.37°
,
H
=
106.63°
(v)
E
=
72.37°
,
F
=
104.63°
,
G
=
74.37°
,
H
=
108.63°
Question
20
20.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
A
=
60°
,
B
=
120°
,
C
=
60°
,
D
=
120°
(ii)
A
=
58°
,
B
=
122°
,
C
=
59°
,
D
=
121°
(iii)
A
=
62°
,
B
=
119°
,
C
=
58°
,
D
=
121°
(iv)
A
=
59°
,
B
=
118°
,
C
=
61°
,
D
=
122°
(v)
A
=
61°
,
B
=
119°
,
C
=
62°
,
D
=
118°
Question
21
21.
The figure formed by successively joining the mid-points of the sides of a rhombus is
(i)
parallelogram
(ii)
square
(iii)
rectangle
(iv)
rhombus
Question
22
22.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GK
=
(i)
IK
(ii)
HK
(iii)
JK
(iv)
JG
Question
23
23.
Sum of the interior angles in a quadrilateral is
(i)
365°
(ii)
390°
(iii)
375°
(iv)
370°
(v)
360°
Question
24
24.
The vertices of the quadrilateral are
(i)
A , B , D , F
(ii)
A , B , C , E
(iii)
A , B , D , E
(iv)
A , B , C , F
(v)
A , B , C , D
Question
25
25.
DEFG is an isosceles trapezium. DS and ES are angular bisector of ∠D & ∠E. If ∠D = 70°, find ∠DSE
(i)
109°
(ii)
110°
(iii)
111°
(iv)
112°
(v)
108°
Assignment Key
1) (iii)
2) (ii)
3) (ii)
4) (iii)
5) (i)
6) (iv)
7) (ii)
8) (ii)
9) (v)
10) (iv)
11) (v)
12) (ii)
13) (iii)
14) (iii)
15) (iv)
16) (ii)
17) (iii)
18) (i)
19) (iv)
20) (i)
21) (iii)
22) (i)
23) (v)
24) (v)
25) (ii)
