EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Which of the following statements are true?
a)
All quadrilaterals are parallelograms
b)
A parallelogram is a trapezium
c)
The set of parallelograms is a subset of the set of trapeziums
d)
All trapeziums are parallelograms
e)
All quadrilaterals are trapeziums
(i)
{a,b}
(ii)
{b,c}
(iii)
{d,c,b}
(iv)
{e,a,b}
(v)
{d,c}
Question
2
2.
The opposite angles of the quadrilateral are
(i)
∠O & ∠R , ∠Q & ∠P
(ii)
∠O & ∠Q , ∠P & ∠S
(iii)
∠O & ∠Q , ∠P & ∠R
(iv)
∠O & ∠R , ∠P & ∠S
(v)
∠O & ∠P , ∠Q & ∠R
Question
3
3.
Three angles of quadrilateral measure 100.81°, 71.38° and 148.41° respectively. Find the measure of the fourth angle
(i)
39.40°
(ii)
41.40°
(iii)
38.40°
(iv)
40.40°
(v)
37.40°
Question
4
4.
The vertices of the trapezium are
(i)
O , P , R , S
(ii)
O , P , R , T
(iii)
O , P , Q , S
(iv)
O , P , Q , R
(v)
O , P , Q , T
Question
5
5.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠IJK
=
(i)
∠KLI
(ii)
∠LIJ
(iii)
∠IJM
(iv)
∠JKL
Question
6
6.
In parallelogram
PQRS
,
diagonals
QS
and
PR
intersect at
T
. Then
RS
=
(i)
PR
(ii)
QS
(iii)
PQ
(iv)
QR
(v)
SP
Question
7
7.
Identify the figure below
(i)
triangle
(ii)
kite
(iii)
parallelogram
(iv)
square
(v)
rectangle
Question
8
8.
In the figure given below,
EFGH
is a rhombus.
Find the values of x and y
(i)
x
=
58°
,
y
=
58°
(ii)
x
=
59°
,
y
=
59°
(iii)
x
=
55°
,
y
=
55°
(iv)
x
=
56°
,
y
=
56°
(v)
x
=
57°
,
y
=
57°
Question
9
9.
The opposite sides of the kite are
(i)
HI
&
KL
,
IK
&
LH
(ii)
HI
&
JK
,
IJ
&
KH
(iii)
HI
&
JL
,
IJ
&
LH
(iv)
HJ
&
KI
,
JK
&
IH
(v)
HJ
&
IK
,
JI
&
KH
Question
10
10.
Three angles of a quadrilateral are equal and the fourth angle measure 85.9°. What is the measure of each of the equal angles?
(i)
92.37°
(ii)
91.37°
(iii)
90.37°
(iv)
93.37°
(v)
89.37°
Question
11
11.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
JG
∥
(i)
HJ
(ii)
HI
(iii)
GH
(iv)
IJ
Question
12
12.
The name of the rectangle is
(i)
KMLN
(ii)
KLMO
(iii)
KLMN
(iv)
KLNO
(v)
KMNL
Question
13
13.
In the given figure
△KLM
,
N
is the mid-point of
KL
and
NO
∥
LM
,
then
KO
=
(i)
MK
(ii)
KL
(iii)
NL
(iv)
OM
(v)
KN
Question
14
14.
In trapezium
EFGH
,
EG
and
FH
are diagonals.
Then
EF
∥
(i)
EG
(ii)
FG
(iii)
GH
(iv)
FH
(v)
HE
Question
15
15.
The vertices of the quadrilateral are
(i)
D , E , F , G
(ii)
D , E , F , I
(iii)
D , E , G , I
(iv)
D , E , G , H
(v)
D , E , F , H
Question
16
16.
The name of the quadrilateral is
(i)
HJIK
(ii)
HIKL
(iii)
HIJL
(iv)
HJKI
(v)
HIJK
Question
17
17.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠FGE
≠
(i)
∠CGF
(ii)
∠DGC
(iii)
∠FCD
(iv)
∠EGD
Question
18
18.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
MN
∥
(i)
MO
(ii)
OL
(iii)
LM
(iv)
NO
Question
19
19.
A quadrilateral has three acute angles, each measuring 34°. What is the measure of its fourth angle?
(i)
258.00°
(ii)
257.00°
(iii)
256.00°
(iv)
259.00°
(v)
260.00°
Question
20
20.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△HEF
≅
(i)
△EFG
(ii)
△GHE
(iii)
△EFI
(iv)
△FGH
(v)
△GHI
Question
21
21.
The diagonals do not divide the quadrilateral into congruent triangles in which figure?
(i)
trapezium
(ii)
rhombus
(iii)
rectangle
(iv)
parallelogram
(v)
square
Question
22
22.
In the given figure, EFGH is a quadrilateral. SH and SG are bisectors of ∠H & ∠G meeting at S. Find ∠GSH
(i)
76.0°
(ii)
78.0°
(iii)
77.0°
(iv)
80.0°
(v)
79.0°
Question
23
23.
In the given figure, BCDE is a parallelogram.
If
BR
and
CR
are bisector of
∠B
&
∠C
, find
∠R
(i)
90°
(ii)
92°
(iii)
88°
(iv)
89°
(v)
91°
Question
24
24.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
PQ
=
(i)
MQ
(ii)
NQ
(iii)
OQ
(iv)
NO
(v)
PM
Question
25
25.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRQ
≅
(i)
△TQP
(ii)
△TSP
(iii)
△SQP
(iv)
△TRS
(v)
△SQR
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iv)
5) (i)
6) (iii)
7) (ii)
8) (v)
9) (ii)
10) (ii)
11) (ii)
12) (iii)
13) (iv)
14) (iii)
15) (i)
16) (v)
17) (iii)
18) (ii)
19) (i)
20) (iv)
21) (i)
22) (ii)
23) (i)
24) (ii)
25) (iv)
