EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
△HDG
≇
(i)
△HFE
(ii)
△HFG
(iii)
△HDE
(iv)
△GDE
Question
2
2.
Which of the following are true?
a)
A rhombus is a trapezium
b)
A parallelogram is a trapezium
c)
A rectangle is a square
d)
A trapezium is a parallelogram
e)
A trapezium is a rhombus
(i)
{a,b}
(ii)
{e,c,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{d,b,a}
Question
3
3.
Identify the figure below
(i)
kite
(ii)
triangle
(iii)
square
(iv)
circle
(v)
angle
Question
4
4.
Which of the following properties apply for a kite ?
(i)
All Adjacent sides are equal
(ii)
Diagonals are equal
(iii)
Diagonals are perpendicular
(iv)
Opposite angles are parallel
(v)
Opposite sides are parallel
Question
5
5.
In kite
FGHI
,
FH
and
GI
are diagonals. Then
∠HIF
=
(i)
∠HIG
(ii)
∠FJI
(iii)
∠FIG
(iv)
∠FGH
(v)
∠FJG
Question
6
6.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠BFE
=
(i)
∠BCD
(ii)
∠BFC
(iii)
∠DEB
(iv)
∠DEC
(v)
∠BEC
Question
7
7.
Which of the following properties apply for a rhombus ?
a)
Opposite sides are parallel
b)
Adjacent sides are equal
c)
Opposite angles are equal
d)
Opposite sides are equal
e)
Adjacent angles are equal
f)
Diagonals bisect each other
g)
Diagonals are equal
(i)
{g,b}
(ii)
{a,b,c,d,f}
(iii)
{e,d,f}
(iv)
{e,a}
(v)
{e,g,c}
Question
8
8.
Which of the following statements are true?
a)
A rhombus is a square
b)
A trapezium is a parallelogram
c)
A parallelogram is a rhombus
d)
A square is a rhombus
e)
A parallelogram is a trapezium
f)
A square is a rectangle
g)
A rectangle is a parallelogram
(i)
{b,e}
(ii)
{a,d}
(iii)
{b,g,d}
(iv)
{c,a,f}
(v)
{d,e,f,g}
Question
9
9.
Sum of the interior angles in a quadrilateral is
(i)
375°
(ii)
390°
(iii)
360°
(iv)
365°
(v)
370°
Question
10
10.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IJ
∥
(i)
JL
(ii)
JK
(iii)
LI
(iv)
KL
Question
11
11.
Identify the figure below
(i)
heptagon
(ii)
quadrilateral
(iii)
decagon
(iv)
triangle
(v)
angle
Question
12
12.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
=
(i)
EG
(ii)
HE
(iii)
GH
(iv)
FH
(v)
FG
Question
13
13.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
FG
∥
(i)
DF
(ii)
EF
(iii)
EG
(iv)
DE
(v)
GD
Question
14
14.
In the given figure, DEFG is a parallelogram. DF bisects ∠D & ∠F.
Given
DF = 12 cm
and
EG = 8 cm
, find
DE
(i)
6.21 cm
(ii)
7.21 cm
(iii)
9.21 cm
(iv)
8.21 cm
(v)
5.21 cm
Question
15
15.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
IM
=
(i)
LM
(ii)
LI
(iii)
KM
(iv)
JM
Question
16
16.
In parallelogram
IJKL
,
diagonals
JL
and
IK
intersect at
M
. Then
△IJK
≅
(i)
△LIJ
(ii)
△JKL
(iii)
△KLM
(iv)
△IJM
(v)
△KLI
Question
17
17.
Identify the figure below
(i)
rectangle
(ii)
parallelogram
(iii)
triangle
(iv)
circle
(v)
rhombus
Question
18
18.
In the adjoining figure,
NOPQ
is a parallelogram in which
∠QNP = 17.74°
,
∠PNO = 15.75°
,
∠QRP = 101.94°
. Calculate
∠NOQ
(i)
62.31°
(ii)
64.31°
(iii)
60.31°
(iv)
61.31°
(v)
63.31°
Question
19
19.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠DEF
=
(i)
∠FGH
(ii)
∠FGD
(iii)
∠EFG
(iv)
∠GDE
(v)
∠DEH
Question
20
20.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IJM
≠
(i)
∠LMK
(ii)
∠MJK
(iii)
∠KLM
(iv)
∠MLI
Question
21
21.
The opposite angles of the quadrilateral are
(i)
∠G & ∠J , ∠H & ∠K
(ii)
∠G & ∠H , ∠I & ∠J
(iii)
∠G & ∠I , ∠H & ∠K
(iv)
∠G & ∠J , ∠I & ∠H
(v)
∠G & ∠I , ∠H & ∠J
Question
22
22.
In the given figure,
HIJK
is a rectangle whose diagonals intersect at
L
.
Diagonal
HJ
is produced to
T
and
∠KJT =
156.04°
. Find the angles of
△LIJ
.
(i)
L
=
47.92°
,
I
=
66.04°
,
J
=
66.04°
(ii)
L
=
49.92°
,
I
=
66.04°
,
J
=
64.04°
(iii)
L
=
45.92°
,
I
=
66.04°
,
J
=
68.04°
(iv)
L
=
45.92°
,
I
=
68.04°
,
J
=
66.04°
(v)
L
=
47.92°
,
I
=
64.04°
,
J
=
68.04°
Question
23
23.
In the given figure, DEFG is a parallelogram. DN and FO are perpendicular to the diagonal EG. Given ∠OFG = 38°, find ∠GED
(i)
54°
(ii)
52°
(iii)
50°
(iv)
53°
(v)
51°
Question
24
24.
In trapezium
EFGH
,
EG
and
FH
are diagonals.
Then
EF
∥
(i)
GH
(ii)
FH
(iii)
FG
(iv)
EG
(v)
HE
Question
25
25.
In the given figure, EFGH is a parallelogram.
If
EP
and
FP
are bisector of
∠E
&
∠F
, find
∠P
(i)
88°
(ii)
90°
(iii)
92°
(iv)
91°
(v)
89°
Assignment Key
1) (iv)
2) (i)
3) (i)
4) (iii)
5) (iv)
6) (ii)
7) (ii)
8) (v)
9) (iii)
10) (iv)
11) (ii)
12) (iii)
13) (iv)
14) (ii)
15) (iii)
16) (v)
17) (v)
18) (i)
19) (ii)
20) (i)
21) (v)
22) (i)
23) (ii)
24) (i)
25) (ii)
