EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
BC
≠
(i)
AB
(ii)
BD
(iii)
DA
(iv)
CD
Question
2
2.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
FG
=
(i)
FH
(ii)
GH
(iii)
HI
(iv)
GI
(v)
IF
Question
3
3.
In the adjoining figure,
DEFG
is a parallelogram in which
∠GDF = 22.51°
,
∠FDE = 19.6°
,
∠GHF = 101.18°
. Calculate
∠EFD
(i)
23.51°
(ii)
24.51°
(iii)
22.51°
(iv)
20.51°
(v)
21.51°
Question
4
4.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
∠CDE
=
(i)
∠FCD
(ii)
∠EFG
(iii)
∠DEF
(iv)
∠CDG
(v)
∠EFC
Question
5
5.
In the adjoining figure,
F
is a point in the interior of
∠HDI
.
If
FE
⟂
DH
and
FG
⟂
DI
and
∠HDI = 53°
,
find the measure of x .
(i)
125°
(ii)
127°
(iii)
126°
(iv)
129°
(v)
128°
Question
6
6.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△PLM
≇
(i)
△PNM
(ii)
△PNO
(iii)
△PLO
(iv)
△OLM
Question
7
7.
Which of the following properties apply for a trapezium ?
(i)
Diagonals bisect each other
(ii)
One pair of opposite sides are parallel
(iii)
Adjacent angles are supplementary
(iv)
Diagonals are perpendicular to each other
(v)
Diagonals are equal
Question
8
8.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
AB
∥
(i)
DA
(ii)
BD
(iii)
CD
(iv)
AC
(v)
BC
Question
9
9.
Identify the figure below
(i)
rectangle
(ii)
rhombus
(iii)
triangle
(iv)
square
(v)
parallelogram
Question
10
10.
In the adjoining figure,
ABCD
is a kite in which
AB
=
DA
,
BC
=
CD
and the diagonals
BD
and
AC
intersect at
O
.
If ∠OCD = 35.93° and ∠ABO = 65.26°, find the measure of each of the angles marked a,b,c,d and e.
(i)
a = 54.07° , b = 25.74° , c = 64.26° , d = 56.07° , e = 33.93°
(ii)
a = 54.07° , b = 24.74° , c = 65.26° , d = 54.07° , e = 35.93°
(iii)
a = 54.07° , b = 25.74° , c = 64.26° , d = 56.07° , e = 35.93°
(iv)
a = 54.07° , b = 25.74° , c = 65.26° , d = 54.07° , e = 35.93°
(v)
a = 54.07° , b = 25.74° , c = 64.26° , d = 54.07° , e = 35.93°
Question
11
11.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are perpendicular to each other
b)
Diagonals bisect each other
c)
Opposite sides are equal
d)
Adjacent angles are supplementary
e)
Opposite angles are equal
f)
Diagonals are equal to each other
(i)
{a,b}
(ii)
{a,f,d}
(iii)
{b,c,d,e}
(iv)
{f,c}
(v)
{a,e,b}
Question
12
12.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠DEF
=
(i)
∠FGD
(ii)
∠DGE
(iii)
∠DHE
(iv)
∠FGE
(v)
∠DHG
Question
13
13.
Which of the following statements are true?
a)
Every parallelogram is a rectangle
b)
Every rectangle is a rhombus
c)
Every rectangle is a parallelogram
d)
Every rhombus is parallelogram
e)
Every square is a rectangle
(i)
{c,d,e}
(ii)
{b,d}
(iii)
{a,c,d}
(iv)
{a,c}
(v)
{a,b,e}
Question
14
14.
In kite
IJKL
,
IK
and
JL
are diagonals. Then
△MLI
≅
(i)
△MKJ
(ii)
△LJK
(iii)
△MKL
(iv)
△MJI
(v)
△LJI
Question
15
15.
In the figure given below,
CDEF
is a rectangle.
Find the values of x and y
(i)
x
=
54.43°
,
y
=
106.86°
(ii)
x
=
52.43°
,
y
=
104.86°
(iii)
x
=
53.43°
,
y
=
105.86°
(iv)
x
=
50.43°
,
y
=
102.86°
(v)
x
=
51.43°
,
y
=
103.86°
Question
16
16.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
GH
∥
(i)
JG
(ii)
IJ
(iii)
HJ
(iv)
HI
Question
17
17.
In parallelogram
DEFG
,
diagonals
EG
and
DF
intersect at
H
. Then
∠EFG
=
(i)
∠GDE
(ii)
∠DEH
(iii)
∠DEF
(iv)
∠FGH
(v)
∠FGD
Question
18
18.
In parallelogram
KLMN
,
diagonals
LN
and
KM
intersect at
O
. Then
△KLM
≅
(i)
△MNO
(ii)
△LMN
(iii)
△KLO
(iv)
△NKL
(v)
△MNK
Question
19
19.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
△DEF
≅
(i)
△GCD
(ii)
△EFC
(iii)
△FCD
(iv)
△CDE
Question
20
20.
In the adjoining figure,
OPQR
is a trapezium in which
OP
∥
QR
.
If
x = 95.96°
and
y = 122.69°
,
find the measures of
∠O
and
∠P
.
(i)
O
=
55.31°
,
P
=
82.04°
(ii)
O
=
58.31°
,
P
=
85.04°
(iii)
O
=
57.31°
,
P
=
84.04°
(iv)
O
=
59.31°
,
P
=
86.04°
(v)
O
=
56.31°
,
P
=
83.04°
Question
21
21.
One angle of a parallelogram measures
N
=
50.13°
.
Find the measure of each of its remaining angles.
(i)
O
=
130.87°
,
P
=
51.13°
,
Q
=
130.87°
(ii)
O
=
129.87°
,
P
=
50.13°
,
Q
=
129.87°
(iii)
O
=
128.87°
,
P
=
49.13°
,
Q
=
128.87°
(iv)
O
=
131.87°
,
P
=
52.13°
,
Q
=
131.87°
(v)
O
=
127.87°
,
P
=
48.13°
,
Q
=
127.87°
Question
22
22.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠MJK
=
(i)
∠KLM
(ii)
∠JKN
(iii)
∠JKL
(iv)
∠LMN
(v)
∠LMJ
Question
23
23.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
JK
≠
(i)
KL
(ii)
KM
(iii)
LM
(iv)
MJ
Question
24
24.
Identify the points that are outside the quadrilateral
(i)
{N,Q,T}
(ii)
{P,R,S}
(iii)
{P,S,V}
(iv)
{V,P,Q}
(v)
{O,R,U}
Question
25
25.
In the adjoining figure, side FG of parallelogram FGHI has been produced to J. If ∠IFJ = 68.3° , find the measure of each angle of the parallelogram.
(i)
F
=
109.7°
,
G
=
70.3°
,
H
=
110.7°
,
I
=
69.3°
(ii)
F
=
111.7°
,
G
=
68.3°
,
H
=
111.7°
,
I
=
68.3°
(iii)
F
=
110.7°
,
G
=
66.3°
,
H
=
112.7°
,
I
=
70.3°
(iv)
F
=
112.7°
,
G
=
67.3°
,
H
=
113.7°
,
I
=
66.3°
(v)
F
=
113.7°
,
G
=
67.3°
,
H
=
109.7°
,
I
=
69.3°
Assignment Key
1) (ii)
2) (iii)
3) (iii)
4) (v)
5) (ii)
6) (iv)
7) (ii)
8) (iii)
9) (iv)
10) (ii)
11) (iii)
12) (i)
13) (i)
14) (iv)
15) (ii)
16) (ii)
17) (i)
18) (v)
19) (iii)
20) (iii)
21) (ii)
22) (i)
23) (ii)
24) (iii)
25) (ii)
