EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade IX
License : Non Commercial Use
Question
1
1.
Two angles of a quadrilateral are of measure 88.86° and 89.99° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
91.58°
(ii)
90.58°
(iii)
92.58°
(iv)
89.58°
(v)
88.58°
Question
2
2.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
MN
≠
(i)
LN
(ii)
NK
(iii)
KL
(iv)
LM
Question
3
3.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠TPQ
≠
(i)
∠PTS
(ii)
∠SPT
(iii)
∠TRS
(iv)
∠QRT
Question
4
4.
Which of the following properties apply for a kite ?
(i)
Opposite sides are parallel
(ii)
Diagonals are perpendicular
(iii)
All Adjacent sides are equal
(iv)
Opposite angles are parallel
(v)
Adjacent angles are equal
Question
5
5.
In the figure given below,
CDEF
is a rhombus.
Find the values of x and y
(i)
x
=
40.03°
,
y
=
40.03°
(ii)
x
=
38.03°
,
y
=
38.03°
(iii)
x
=
42.03°
,
y
=
42.03°
(iv)
x
=
41.03°
,
y
=
41.03°
(v)
x
=
39.03°
,
y
=
39.03°
Question
6
6.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
∠SRO
≠
(i)
∠OPS
(ii)
∠SPQ
(iii)
∠RSQ
(iv)
∠QRS
Question
7
7.
Which of the following statements are true?
a)
A rectangle is a parallelogram
b)
A square is a rhombus
c)
A parallelogram is a trapezium
d)
A parallelogram is a rhombus
e)
A rhombus is a square
f)
A trapezium is a parallelogram
g)
A square is a rectangle
(i)
{f,d,c}
(ii)
{a,b,c,g}
(iii)
{e,g,a}
(iv)
{d,a}
(v)
{e,b}
Question
8
8.
EFGH is a quadrilateral. R, S, T and U are mid-points of EF, FG, GH and HE respectively.If EG = 31 cm and FH = 16 cm, find the measure of the sides of RSTU.
(i)
16 cm
,
8 cm
,
16 cm
,
8 cm
(ii)
15.5 cm
,
8 cm
,
15.5 cm
,
8 cm
(iii)
17 cm
,
8 cm
,
17 cm
,
8 cm
(iv)
15.5 cm
,
7 cm
,
15.5 cm
,
7 cm
(v)
15.5 cm
,
6 cm
,
15.5 cm
,
6 cm
Question
9
9.
In the given figure, GHIJ is a parallelogram such that T is the mid-point of GH and GH = 2JG. Find ∠JTI
(i)
90°
(ii)
89°
(iii)
91°
(iv)
92°
(v)
88°
Question
10
10.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠CEB
≠
(i)
∠DEC
(ii)
∠AED
(iii)
∠BEA
(iv)
∠DAB
Question
11
11.
Which of the following are true?
a)
A square is a trapezium
b)
A trapezium is a square
c)
A parallelogram is a rhombus
d)
A square is a rectangle
e)
A rectangle is a rhombus
(i)
{e,b,a}
(ii)
{c,d}
(iii)
{b,a}
(iv)
{c,d,a}
(v)
{a,d}
Question
12
12.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠EIF
=
(i)
∠GHE
(ii)
∠GHF
(iii)
∠EHF
(iv)
∠EIH
(v)
∠EFG
Question
13
13.
In the given figure, EFGH is a parallelogram. The bisector of the angles E, F, G & H intersect at T, U, V & W to form a quadrilateral. Find ∠VWT
(i)
91°
(ii)
90°
(iii)
92°
(iv)
89°
(v)
88°
Question
14
14.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠GDH
=
(i)
∠DHG
(ii)
∠HFE
(iii)
∠EDH
(iv)
∠HFG
(v)
∠GHF
Question
15
15.
Which of the following statements are true?
a)
Every parallelogram is a trapezium
b)
Every parallelogram is a rectangle
c)
Every rectangle is a parallelogram
d)
Every rectangle is a rhombus
e)
Every square is a rhombus
f)
Every rhombus is a parallelogram
g)
Every square is a rectangle
(i)
{b,a}
(ii)
{d,c}
(iii)
{a,c,e,f,g}
(iv)
{b,d,e}
(v)
{b,f,g}
Question
16
16.
Which of the following are true?
a)
A kite is a rhombus
b)
A trapezium is a parallelogram
c)
A rhombus is a kite
d)
A rhombus is a parallelogram
e)
A parallelogram is a rhombus
(i)
{e,a,c}
(ii)
{b,d,c}
(iii)
{a,c}
(iv)
{b,d}
(v)
{c,d}
Question
17
17.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
SP
∥
(i)
PQ
(ii)
QR
(iii)
RS
(iv)
PR
(v)
QS
Question
18
18.
Which of the following are true?
a)
A square is a rectangle
b)
A parallelogram is a square
c)
A rhombus is a square
d)
A square is a rhombus
e)
A rectangle is a square
(i)
{e,b,a}
(ii)
{c,d,a}
(iii)
{c,d}
(iv)
{a,d}
(v)
{b,a}
Question
19
19.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
DF
=
(i)
BF
(ii)
CF
(iii)
EF
(iv)
EB
Question
20
20.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NOP
≠
(i)
∠POL
(ii)
∠OPN
(iii)
∠PMN
(iv)
∠LMP
Question
21
21.
The angles of a quadrilateral JKLM are in the ratio 4 : 13 : 12 : 31. Find the measure of each angle of the quadrilateral.
(i)
J
=
24°
,
K
=
78°
,
L
=
72°
,
M
=
186°
(ii)
J
=
25°
,
K
=
77°
,
L
=
74°
,
M
=
184°
(iii)
J
=
22°
,
K
=
80°
,
L
=
71°
,
M
=
187°
(iv)
J
=
23°
,
K
=
76°
,
L
=
73°
,
M
=
188°
(v)
J
=
26°
,
K
=
77°
,
L
=
70°
,
M
=
187°
Question
22
22.
In the given figure, CDEF is a quadrilateral. QF and QE are bisectors of ∠F & ∠E meeting at Q. Find ∠EQF
(i)
92.0°
(ii)
95.0°
(iii)
91.0°
(iv)
93.0°
(v)
94.0°
Question
23
23.
Find the missing angle in the given parallelogram
(i)
87.53°
(ii)
102.53°
(iii)
77.53°
(iv)
72.53°
(v)
82.53°
Question
24
24.
The figure formed by successively joining the mid-points of the sides of a rectangle is
(i)
square
(ii)
rectangle
(iii)
rhombus
(iv)
parallelogram
Question
25
25.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠JGH
≠
(i)
∠FGJ
(ii)
∠IJH
(iii)
∠HIJ
(iv)
∠JIF
Assignment Key
1) (ii)
2) (i)
3) (i)
4) (ii)
5) (i)
6) (iii)
7) (ii)
8) (ii)
9) (i)
10) (iv)
11) (v)
12) (iv)
13) (ii)
14) (iii)
15) (iii)
16) (v)
17) (ii)
18) (iv)
19) (i)
20) (ii)
21) (i)
22) (iv)
23) (iv)
24) (iii)
25) (ii)
