EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
EF
∥
(i)
FG
(ii)
HE
(iii)
FH
(iv)
EG
(v)
GH
Question
2
2.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
∠HIJ
=
(i)
∠GHI
(ii)
∠IJK
(iii)
∠IJG
(iv)
∠JGH
(v)
∠GHK
Question
3
3.
The measures of three angles of a quadrilateral are
74.85°
,
109.32°
and
60°
. Find the fourth angle
(i)
120.83°
(ii)
130.83°
(iii)
115.83°
(iv)
145.83°
(v)
125.83°
Question
4
4.
The vertices of the quadrilateral are
(i)
C , D , E , G
(ii)
C , D , E , F
(iii)
C , D , E , H
(iv)
C , D , F , G
(v)
C , D , F , H
Question
5
5.
The angles of a quadrilateral CDEF are in the ratio 10 : 34 : 22 : 54. Find the measure of each angle of the quadrilateral.
(i)
C
=
30°
,
D
=
102°
,
E
=
66°
,
F
=
162°
(ii)
C
=
31°
,
D
=
101°
,
E
=
68°
,
F
=
160°
(iii)
C
=
29°
,
D
=
100°
,
E
=
67°
,
F
=
164°
(iv)
C
=
32°
,
D
=
101°
,
E
=
64°
,
F
=
163°
(v)
C
=
28°
,
D
=
104°
,
E
=
65°
,
F
=
163°
Question
6
6.
LMNO is a rhombus in which ∠L = 82° .
MO
is the diagonal. Then △LMN is
(i)
an obtuse angled triangle
(ii)
an isosceles triangle
(iii)
a scalene triangle
(iv)
None of these
(v)
an equilateral triangle
Question
7
7.
The name of the parallelogram is
(i)
MOPN
(ii)
MONP
(iii)
MNOP
(iv)
MNOQ
(v)
MNPQ
Question
8
8.
△OKL
is an equilateral triangle in a square
KLMN
.
If
KM
and
LO
intersect at
P
,
then find the value of x.
(i)
77°
(ii)
73°
(iii)
75°
(iv)
74°
(v)
76°
Question
9
9.
Name all quadrilaterals whose diagonals are perpendicular and bisect each other
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rhombus
(iii)
square,parallelogram
(iv)
square,rectangle
(v)
rectangle,rhombus
Question
10
10.
Identify the figure below
(i)
rectangle
(ii)
circle
(iii)
parallelogram
(iv)
trapezium
(v)
square
Question
11
11.
In trapezium
CDEF
,
CE
and
DF
are diagonals.
Then
CD
∥
(i)
DF
(ii)
CE
(iii)
EF
(iv)
FC
(v)
DE
Question
12
12.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
QR
=
(i)
SP
(ii)
QS
(iii)
PQ
(iv)
RS
(v)
PR
Question
13
13.
In the adjoining figure,
PQRS
is a parallelogram in which
∠SPR = 33.38°
,
∠RPQ = 25.09°
,
∠STR = 106.16°
. Calculate
∠QRP
(i)
35.38°
(ii)
31.38°
(iii)
32.38°
(iv)
34.38°
(v)
33.38°
Question
14
14.
In the adjoining figure, IJKL is a square. A line segment LN cuts the side JK at N and the diagonal IK at M such that ∠LMK = 96.71° and ∠MNK = x°. Find the value of x .
(i)
51.71°
(ii)
53.71°
(iii)
50.71°
(iv)
49.71°
(v)
52.71°
Question
15
15.
The adjacent angles of the quadrilateral are
(i)
∠M & ∠N , ∠N & ∠P , ∠P & ∠Q , ∠Q & ∠M
(ii)
∠M & ∠N , ∠N & ∠O , ∠O & ∠P , ∠P & ∠M
(iii)
∠M & ∠O , ∠O & ∠P , ∠P & ∠N , ∠N & ∠M
(iv)
∠M & ∠N , ∠N & ∠O , ∠O & ∠Q , ∠Q & ∠M
(v)
∠M & ∠O , ∠O & ∠N , ∠N & ∠P , ∠P & ∠M
Question
16
16.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
△TRS
≅
(i)
△TSP
(ii)
△SQP
(iii)
△SQR
(iv)
△TQP
(v)
△TRQ
Question
17
17.
In the given figure, CDEF is a rhombus such that ∠D = 120°. Then △CDF is
(i)
Isosceles triangle
(ii)
Equilateral triangle
(iii)
Obtuse angled triangle
(iv)
Right angled triangle
Question
18
18.
The angles of the quadrilateral are
(i)
∠F , ∠G , ∠I , ∠K
(ii)
∠F , ∠G , ∠H , ∠J
(iii)
∠F , ∠G , ∠H , ∠K
(iv)
∠F , ∠G , ∠H , ∠I
(v)
∠F , ∠G , ∠I , ∠J
Question
19
19.
In kite
LMNO
,
LN
and
MO
are diagonals. Then
∠LMN
=
(i)
∠LPO
(ii)
∠LPM
(iii)
∠LOM
(iv)
∠NOL
(v)
∠NOM
Question
20
20.
In the given figure, HIJK is a parallelogram. IK is the diagonal
such that
HK = IK = IJ
. Given
∠H = 45°
, find
∠KIJ
(i)
91°
(ii)
88°
(iii)
90°
(iv)
89°
(v)
92°
Question
21
21.
Which of the following are true?
a)
A square is a rhombus
b)
A square is a rectangle
c)
A parallelogram is a square
d)
A rhombus is a square
e)
A rectangle is a square
(i)
{c,a}
(ii)
{d,b}
(iii)
{e,c,a}
(iv)
{a,b}
(v)
{d,b,a}
Question
22
22.
EFGH is a rhombus. M, N, O and P are mid-points of sides EF, FG, GH and HE. Find ∠NOP
(i)
92°
(ii)
90°
(iii)
88°
(iv)
89°
(v)
91°
Question
23
23.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
SP
≠
(i)
PQ
(ii)
QS
(iii)
RS
(iv)
QR
Question
24
24.
Which of the following figures is a regular quadrilateral?
(i)
rhombus
(ii)
square
(iii)
trapezium
(iv)
rectangle
(v)
parallelogram
Question
25
25.
Two angles of a quadrilateral are of measure 60.61° and 146.87° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
77.26°
(ii)
74.26°
(iii)
78.26°
(iv)
75.26°
(v)
76.26°
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (ii)
5) (i)
6) (ii)
7) (iii)
8) (iii)
9) (ii)
10) (i)
11) (iii)
12) (iv)
13) (v)
14) (i)
15) (ii)
16) (v)
17) (ii)
18) (iv)
19) (iv)
20) (iii)
21) (iv)
22) (ii)
23) (ii)
24) (ii)
25) (v)
