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
∠CDA
=
(i)
∠DAB
(ii)
∠ABE
(iii)
∠BCD
(iv)
∠ABC
Question
2
2.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
∠GHJ
≠
(i)
∠IFJ
(ii)
∠FJI
(iii)
∠JFG
(iv)
∠JHI
Question
3
3.
Which of the following are true?
a)
A parallelogram is a square
b)
A rectangle is a square
c)
A square is a rhombus
d)
A rhombus is a square
e)
A square is a rectangle
(i)
{c,e}
(ii)
{a,c}
(iii)
{d,a,c}
(iv)
{b,e}
(v)
{b,e,c}
Question
4
4.
Which of the following properties apply for a parallelogram ?
a)
Diagonals are perpendicular to each other
b)
Opposite angles are equal
c)
Opposite sides are equal
d)
Diagonals bisect each other
e)
Diagonals are equal to each other
f)
Adjacent angles are supplementary
(i)
{a,f,b}
(ii)
{a,e,d}
(iii)
{e,c}
(iv)
{b,c,d,f}
(v)
{a,b}
Question
5
5.
Find the missing angle in the given quadrilateral
(i)
65.24°
(ii)
70.24°
(iii)
90.24°
(iv)
75.24°
(v)
60.24°
Question
6
6.
In the figure given below,
IJKL
is a rhombus.
Find the values of x and y
(i)
x
=
37.52°
,
y
=
54.48°
(ii)
x
=
35.52°
,
y
=
52.48°
(iii)
x
=
34.52°
,
y
=
51.48°
(iv)
x
=
36.52°
,
y
=
53.48°
(v)
x
=
38.52°
,
y
=
55.48°
Question
7
7.
If ABCD is an isosceles trapezium, ∠D =
(i)
∠A
(ii)
90°
(iii)
∠C
(iv)
∠B
Question
8
8.
In rhombus
ABCD
, diagonals
AC
and
BD
intersect at
E
. Then
∠AED
≠
(i)
∠DEC
(ii)
∠CEB
(iii)
∠BEA
(iv)
∠DAB
Question
9
9.
In which of the following are the diagonals equal ?
(i)
rhombus
(ii)
None of these
(iii)
rectangle
(iv)
trapezium
(v)
parallelogram
Question
10
10.
The diagonals of the quadrilateral are
(i)
DG
,
CE
(ii)
EF
,
CD
(iii)
ED
,
CF
(iv)
DF
,
CE
(v)
DG
,
CF
Question
11
11.
In kite
DEFG
,
DF
and
EG
are diagonals. Then
∠GDH
=
(i)
∠HFG
(ii)
∠EDH
(iii)
∠HFE
(iv)
∠GHF
(v)
∠DHG
Question
12
12.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
GH
∥
(i)
HI
(ii)
IF
(iii)
GI
(iv)
FG
(v)
FH
Question
13
13.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
FG
∥
(i)
GH
(ii)
HE
(iii)
FH
(iv)
EF
Question
14
14.
In the given figure, FGHI is a parallelogram. FH bisects ∠F & ∠H.
Given
FH = 12 cm
and
GI = 8 cm
, find
FG
(i)
5.21 cm
(ii)
8.21 cm
(iii)
9.21 cm
(iv)
7.21 cm
(v)
6.21 cm
Question
15
15.
Identify the figure below
(i)
parallelogram
(ii)
circle
(iii)
kite
(iv)
rectangle
(v)
angle
Question
16
16.
In the figure given below,
ABCD
is a rectangle.
Find the values of x and y
(i)
x
=
48.64°
,
y
=
39.36°
(ii)
x
=
51.64°
,
y
=
42.36°
(iii)
x
=
47.64°
,
y
=
38.36°
(iv)
x
=
50.64°
,
y
=
41.36°
(v)
x
=
49.64°
,
y
=
40.36°
Question
17
17.
In the given figure, FGHI is a rhombus. Given x = 58°, find the value of 'y'.
(i)
30°
(ii)
31°
(iii)
32°
(iv)
34°
(v)
33°
Question
18
18.
Find the missing angle in the given parallelogram
(i)
112.47°
(ii)
122.47°
(iii)
137.47°
(iv)
117.47°
(v)
107.47°
Question
19
19.
In rhombus
HIJK
, diagonals
HJ
and
IK
intersect at
L
. Then
KH
∥
(i)
JK
(ii)
HI
(iii)
IJ
(iv)
IK
Question
20
20.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠JKL
=
(i)
∠JKN
(ii)
∠MJK
(iii)
∠LMN
(iv)
∠LMJ
(v)
∠KLM
Question
21
21.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
KL
=
(i)
LM
(ii)
JL
(iii)
MJ
(iv)
KM
(v)
JK
Question
22
22.
Name all quadrilaterals whose all angles are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rhombus
(iii)
square,rectangle
(iv)
square,kite
(v)
rectangle,rhombus
Question
23
23.
Name all quadrilaterals whose all angles are right angles
(i)
square,parallelogram
(ii)
square,kite
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,rectangle
(v)
rectangle,rhombus
Question
24
24.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△JKL
≅
(i)
△MJK
(ii)
△LMJ
(iii)
△NJK
(iv)
△KLM
Question
25
25.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
△NLK
≇
(i)
△NJK
(ii)
△NJM
(iii)
△MJK
(iv)
△NLM
Assignment Key
1) (iv)
2) (ii)
3) (i)
4) (iv)
5) (v)
6) (iv)
7) (iii)
8) (iv)
9) (iii)
10) (iv)
11) (ii)
12) (ii)
13) (ii)
14) (iv)
15) (iv)
16) (v)
17) (iii)
18) (v)
19) (iii)
20) (iv)
21) (i)
22) (iii)
23) (iv)
24) (ii)
25) (iii)