EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠HEI
=
(i)
∠IGF
(ii)
∠EIH
(iii)
∠FEI
(iv)
∠HIG
(v)
∠IGH
Question
2
2.
In parallelogram
OPQR
,
diagonals
PR
and
OQ
intersect at
S
. Then
PQ
∥
(i)
OP
(ii)
PR
(iii)
OQ
(iv)
QR
(v)
RO
Question
3
3.
FGHI is a rhombus in which ∠F = 120° .
GI
is the diagonal. Then △FGH is
(i)
an obtuse angled triangle
(ii)
an isosceles triangle
(iii)
None of these
(iv)
an equilateral triangle
(v)
a scalene triangle
Question
4
4.
Sum of the interior angles in a quadrilateral is
(i)
360°
(ii)
365°
(iii)
390°
(iv)
375°
(v)
370°
Question
5
5.
Name all quadrilaterals whose opposite sides are parallel
(i)
square,rhombus
(ii)
rectangle,rhombus
(iii)
square,parallelogram
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,rectangle
Question
6
6.
In parallelogram
NOPQ
,
diagonals
OQ
and
NP
intersect at
R
. Then
△OPQ
≅
(i)
△QNO
(ii)
△PQR
(iii)
△NOP
(iv)
△PQN
(v)
△NOR
Question
7
7.
In the given figure, DEFG is a rhombus. Given x = 58°, find the value of 'y'.
(i)
33°
(ii)
30°
(iii)
31°
(iv)
32°
(v)
34°
Question
8
8.
In kite
OPQR
,
OQ
and
PR
are diagonals. Then
QR
=
(i)
PQ
(ii)
OP
(iii)
RO
(iv)
PR
(v)
OQ
Question
9
9.
In the adjoining figure, EFGH is a rhombus and △IHG is an equilateral triangle. I and F are on opposite sides of GH. If ∠HEF = 65.01°, find the values of x and y .
(i)
x
=
32°
,
y
=
29.49°
(ii)
x
=
28°
,
y
=
25.49°
(iii)
x
=
30°
,
y
=
27.49°
(iv)
x
=
29°
,
y
=
26.49°
(v)
x
=
31°
,
y
=
28.49°
Question
10
10.
In trapezium
JKLM
,
JL
and
KM
are diagonals.
Then
LM
∥
(i)
JK
(ii)
KM
(iii)
MJ
(iv)
JL
(v)
KL
Question
11
11.
In trapezium
PQRS
,
PR
and
QS
are diagonals.
Then
PQ
∥
(i)
QS
(ii)
RS
(iii)
SP
(iv)
QR
(v)
PR
Question
12
12.
Which of the following are true?
a)
A rhombus is a trapezium
b)
A trapezium is a parallelogram
c)
A parallelogram is a trapezium
d)
A trapezium is a rhombus
e)
A rectangle is a square
(i)
{a,c}
(ii)
{b,a}
(iii)
{d,c,a}
(iv)
{e,b,a}
(v)
{d,c}
Question
13
13.
Find the missing angle in the given rhombus
(i)
132.57°
(ii)
107.57°
(iii)
112.57°
(iv)
117.57°
(v)
102.57°
Question
14
14.
In parallelogram
FGHI
,
diagonals
GI
and
FH
intersect at
J
. Then
∠FGH
=
(i)
∠HIJ
(ii)
∠GHI
(iii)
∠IFG
(iv)
∠HIF
(v)
∠FGJ
Question
15
15.
The angles of a quadrilateral BCDE are in the ratio 15 : 6 : 20 : 31. Find the measure of each angle of the quadrilateral.
(i)
B
=
77°
,
C
=
29°
,
D
=
98°
,
E
=
156°
(ii)
B
=
74°
,
C
=
28°
,
D
=
101°
,
E
=
157°
(iii)
B
=
76°
,
C
=
29°
,
D
=
102°
,
E
=
153°
(iv)
B
=
73°
,
C
=
32°
,
D
=
99°
,
E
=
156°
(v)
B
=
75°
,
C
=
30°
,
D
=
100°
,
E
=
155°
Question
16
16.
The name of the quadrilateral is
(i)
NOQR
(ii)
NOPR
(iii)
NPOQ
(iv)
NOPQ
(v)
NPQO
Question
17
17.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
∠NRQ
=
(i)
∠NRO
(ii)
∠NOP
(iii)
∠PQO
(iv)
∠PQN
(v)
∠NQO
Question
18
18.
In kite
EFGH
,
EG
and
FH
are diagonals. Then
∠IGH
=
(i)
∠IGF
(ii)
∠HEI
(iii)
∠HIG
(iv)
∠FEI
(v)
∠EIH
Question
19
19.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
rectangle,rhombus
(ii)
square,rectangle
(iii)
square,rhombus
(iv)
square,parallelogram
(v)
parallelogram,square,rhombus,rectangle
Question
20
20.
In the given figure,
LMNO
is a rectangle whose diagonals intersect at
P
.
Diagonal
LN
is produced to
T
and
∠MLT =
138.37°
. Find the angles of
△PNO
.
(i)
P
=
96.74°
,
N
=
41.63°
,
O
=
41.63°
(ii)
P
=
98.74°
,
N
=
41.63°
,
O
=
39.63°
(iii)
P
=
94.74°
,
N
=
41.63°
,
O
=
43.63°
(iv)
P
=
94.74°
,
N
=
43.63°
,
O
=
41.63°
(v)
P
=
96.74°
,
N
=
39.63°
,
O
=
43.63°
Question
21
21.
Name all quadrilaterals whose diagonals are perpendicular and bisect each other
(i)
square,rectangle
(ii)
square,rhombus
(iii)
rectangle,rhombus
(iv)
square,kite
(v)
square,parallelogram
Question
22
22.
A quadrilateral has three acute angles, each measuring 39°. What is the measure of its fourth angle?
(i)
241.00°
(ii)
244.00°
(iii)
245.00°
(iv)
243.00°
(v)
242.00°
Question
23
23.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QPM
≠
(i)
∠PQO
(ii)
∠QNO
(iii)
∠MNQ
(iv)
∠OPQ
Question
24
24.
Name all quadrilaterals whose all angles are equal
(i)
square,parallelogram
(ii)
square,rectangle
(iii)
rectangle,rhombus
(iv)
parallelogram,square,rhombus,rectangle
(v)
square,rhombus
Question
25
25.
In rhombus
BCDE
, diagonals
BD
and
CE
intersect at
F
. Then
∠EBF
≠
(i)
∠FBC
(ii)
∠CDF
(iii)
∠BFE
(iv)
∠FDE
Assignment Key
1) (iii)
2) (v)
3) (iv)
4) (i)
5) (iv)
6) (i)
7) (iv)
8) (i)
9) (iii)
10) (i)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (v)
16) (iv)
17) (i)
18) (i)
19) (v)
20) (i)
21) (ii)
22) (iv)
23) (i)
24) (ii)
25) (iii)
