EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : SSC Grade VII
License : Non Commercial Use
Question
1
1.
How many diagonals does a quadrilateral have?
(i)
3
(ii)
4
(iii)
0
(iv)
2
(v)
1
Question
2
2.
In parallelogram
HIJK
,
diagonals
IK
and
HJ
intersect at
L
. Then
△KHI
≅
(i)
△IJK
(ii)
△JKL
(iii)
△HIL
(iv)
△JKH
(v)
△HIJ
Question
3
3.
Name all quadrilaterals whose all angles are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,rectangle
(iii)
square,rhombus
(iv)
square,kite
(v)
rectangle,rhombus
Question
4
4.
Which of the following figures is a regular quadrilateral?
(i)
parallelogram
(ii)
rhombus
(iii)
square
(iv)
rectangle
(v)
trapezium
Question
5
5.
Three angles of a quadrilateral are equal and the fourth angle measure 104.47°. What is the measure of each of the equal angles?
(i)
84.18°
(ii)
87.18°
(iii)
85.18°
(iv)
83.18°
(v)
86.18°
Question
6
6.
Which of the following statements are true?
a)
Every square is a rhombus
b)
Every parallelogram is a trapezium
c)
Every rhombus is a parallelogram
d)
Every square is a rectangle
e)
Every parallelogram is a rectangle
f)
Every rectangle is a parallelogram
g)
Every rectangle is a rhombus
(i)
{e,a}
(ii)
{e,d,f}
(iii)
{a,b,c,d,f}
(iv)
{e,g,c}
(v)
{g,b}
Question
7
7.
In the given figure, DEFG is a parallelogram. DF bisects ∠D & ∠F.
Given
DF = 12 cm
and
EG = 8 cm
, find
DE
(i)
8.21 cm
(ii)
9.21 cm
(iii)
6.21 cm
(iv)
5.21 cm
(v)
7.21 cm
Question
8
8.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
GH
≠
(i)
HI
(ii)
GI
(iii)
IF
(iv)
FG
Question
9
9.
Name all quadrilaterals whose opposite sides are equal
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,kite
(iii)
rectangle,rhombus
(iv)
square,rectangle
(v)
square,parallelogram
Question
10
10.
In rhombus
KLMN
, diagonals
KM
and
LN
intersect at
O
. Then
∠MNK
=
(i)
∠LMN
(ii)
∠NKL
(iii)
∠KLO
(iv)
∠KLM
Question
11
11.
Identify the figure below
(i)
quadrilateral
(ii)
octagon
(iii)
hexagon
(iv)
pentagon
(v)
heptagon
Question
12
12.
In parallelogram
ABCD
,
diagonals
BD
and
AC
intersect at
E
. Then
DA
∥
(i)
AB
(ii)
AC
(iii)
BD
(iv)
CD
(v)
BC
Question
13
13.
In rhombus
JKLM
, diagonals
JL
and
KM
intersect at
N
. Then
MN
=
(i)
JN
(ii)
KN
(iii)
LN
(iv)
MJ
Question
14
14.
In which of the following are the diagonals equal ?
(i)
rhombus
(ii)
trapezium
(iii)
rectangle
(iv)
parallelogram
(v)
None of these
Question
15
15.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
∠HEF
≠
(i)
∠FGH
(ii)
∠DEH
(iii)
∠GHF
(iv)
∠HGD
Question
16
16.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠OLM
=
(i)
∠LMP
(ii)
∠LMN
(iii)
∠NOP
(iv)
∠NOL
(v)
∠MNO
Question
17
17.
JKLM is a rhombus in which ∠J = 125° .
KM
is the diagonal. Then △JKL is
(i)
an isosceles triangle
(ii)
None of these
(iii)
an equilateral triangle
(iv)
a scalene triangle
(v)
an obtuse angled triangle
Question
18
18.
The vertices of the quadrilateral are
(i)
A , B , C , E
(ii)
A , B , D , F
(iii)
A , B , C , F
(iv)
A , B , D , E
(v)
A , B , C , D
Question
19
19.
Sum of the interior angles in a quadrilateral is
(i)
375°
(ii)
370°
(iii)
360°
(iv)
390°
(v)
365°
Question
20
20.
In the adjoining figure,
KLMN
is a rectangle.
If
∠MKL = 46.74°
, find
∠MOL
(i)
95.48°
(ii)
91.48°
(iii)
92.48°
(iv)
94.48°
(v)
93.48°
Question
21
21.
In parallelogram
JKLM
,
diagonals
KM
and
JL
intersect at
N
. Then
∠KLM
=
(i)
∠MJK
(ii)
∠JKN
(iii)
∠LMN
(iv)
∠LMJ
(v)
∠JKL
Question
22
22.
In the adjoining figure, LMNO is a square. A line segment OQ cuts the side MN at Q and the diagonal LN at P such that ∠OPN = 108.16° and ∠PQN = x°. Find the value of x .
(i)
62.16°
(ii)
63.16°
(iii)
61.16°
(iv)
64.16°
(v)
65.16°
Question
23
23.
In the adjoining figure,
DEFG
is a parallelogram in which
∠GDF = 80.17°
,
∠FDE = 64.23°
,
∠GHF = 100.37°
. Calculate
∠GEF
(i)
21.20°
(ii)
22.20°
(iii)
20.20°
(iv)
18.20°
(v)
19.20°
Question
24
24.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
PM
=
(i)
MN
(ii)
NP
(iii)
NO
(iv)
OP
(v)
MO
Question
25
25.
Which of the following properties apply for a trapezium ?
(i)
One pair of opposite sides are parallel
(ii)
Diagonals are perpendicular to each other
(iii)
Diagonals bisect each other
(iv)
Both adjacent angles are obtuse
(v)
Adjacent angles are supplementary
Assignment Key
1) (iv)
2) (i)
3) (ii)
4) (iii)
5) (iii)
6) (iii)
7) (v)
8) (ii)
9) (i)
10) (iv)
11) (i)
12) (v)
13) (ii)
14) (iii)
15) (iii)
16) (v)
17) (i)
18) (v)
19) (iii)
20) (v)
21) (i)
22) (ii)
23) (iii)
24) (i)
25) (i)