EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
LMNO is a rhombus in which ∠L = 120° .
MO
is the diagonal. Then △LMN is
(i)
an obtuse angled triangle
(ii)
a scalene triangle
(iii)
None of these
(iv)
an equilateral triangle
(v)
an isosceles triangle
Question
2
2.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠QPM
≠
(i)
∠MNQ
(ii)
∠OPQ
(iii)
∠PQO
(iv)
∠QNO
Question
3
3.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
CF
=
(i)
DF
(ii)
EF
(iii)
BF
(iv)
CD
(v)
EB
Question
4
4.
Identify the figure below
(i)
kite
(ii)
triangle
(iii)
rectangle
(iv)
trapezium
(v)
angle
Question
5
5.
In parallelogram ABCD, if ∠B = 121.86°, then find the value of ∠A
(i)
60.14°
(ii)
59.14°
(iii)
57.14°
(iv)
56.14°
(v)
58.14°
Question
6
6.
In rhombus
IJKL
, diagonals
IK
and
JL
intersect at
M
. Then
∠LIJ
=
(i)
∠KLI
(ii)
∠IJM
(iii)
∠IJK
(iv)
∠JKL
Question
7
7.
Which of the following properties apply for a kite ?
(i)
Opposite angles are parallel
(ii)
Diagonals are perpendicular
(iii)
Adjacent angles are equal
(iv)
Opposite sides are equal
(v)
Opposite sides are parallel
Question
8
8.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠PQR
=
(i)
∠SPQ
(ii)
∠PQT
(iii)
∠RSP
(iv)
∠QRS
Question
9
9.
In kite
GHIJ
,
GI
and
HJ
are diagonals. Then
△IHG
≅
(i)
△KJG
(ii)
△KIH
(iii)
△IJG
(iv)
△JHG
(v)
△JHI
Question
10
10.
Identify the figure below
(i)
triangle
(ii)
quadrilateral
(iii)
circle
(iv)
square
(v)
parallelogram
Question
11
11.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
△EFG
≅
(i)
△GHI
(ii)
△HEF
(iii)
△GHE
(iv)
△EFI
(v)
△FGH
Question
12
12.
One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus
(i)
C
=
62°
,
D
=
119°
,
E
=
58°
,
F
=
121°
(ii)
C
=
60°
,
D
=
120°
,
E
=
60°
,
F
=
120°
(iii)
C
=
61°
,
D
=
119°
,
E
=
62°
,
F
=
118°
(iv)
C
=
58°
,
D
=
122°
,
E
=
59°
,
F
=
121°
(v)
C
=
59°
,
D
=
118°
,
E
=
61°
,
F
=
122°
Question
13
13.
Which of the following statements are true?
a)
In a parallelogram, both adjacent angles can be acute
b)
In a parallelogram, adjacent angles are complementary
c)
In a parallelogram, both adjacent angles can be obtuse
d)
In a parallelogram, adjacent angles are supplementary
e)
In a parallelogram, both adjacent angles can be right angles
(i)
{d,e}
(ii)
{b,e,d}
(iii)
{c,a,d}
(iv)
{b,e}
(v)
{a,d}
Question
14
14.
In parallelogram
LMNO
,
diagonals
MO
and
LN
intersect at
P
. Then
∠NOL
=
(i)
∠LMN
(ii)
∠LMP
(iii)
∠NOP
(iv)
∠MNO
(v)
∠OLM
Question
15
15.
In the given figure, FGHI is a parallelogram. The bisector of the angles F, G, H & I intersect at P, Q, R & S to form a quadrilateral. Find ∠QRS
(i)
91°
(ii)
90°
(iii)
88°
(iv)
89°
(v)
92°
Question
16
16.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠SPT
≠
(i)
∠QRT
(ii)
∠TRS
(iii)
∠TPQ
(iv)
∠PTS
Question
17
17.
Two angles of a quadrilateral are of measure 84.79° and 81.55° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
94.83°
(ii)
98.83°
(iii)
95.83°
(iv)
96.83°
(v)
97.83°
Question
18
18.
The sides of the quadrilateral are
(i)
MO
,
ON
,
NP
,
PM
(ii)
MN
,
NP
,
PQ
,
QM
(iii)
MN
,
NO
,
OQ
,
QM
(iv)
MN
,
NO
,
OP
,
PM
(v)
MO
,
OP
,
PN
,
NM
Question
19
19.
Name all quadrilaterals whose all angles are right angles
(i)
parallelogram,square,rhombus,rectangle
(ii)
square,kite
(iii)
square,rhombus
(iv)
rectangle,rhombus
(v)
square,rectangle
Question
20
20.
In the given figure, ABCD is a quadrilateral. SD and SC are bisectors of ∠D & ∠C meeting at S. Find ∠CSD
(i)
92.5°
(ii)
91.5°
(iii)
90.5°
(iv)
94.5°
(v)
93.5°
Question
21
21.
Every rhombus is a
a)
triangle
b)
parallelogram
c)
rectangle
d)
trapezium
e)
square
(i)
{a,b}
(ii)
{e,a,b}
(iii)
{c,d}
(iv)
{b,d}
(v)
{c,d,b}
Question
22
22.
If ABCD is an isosceles trapezium, ∠B =
(i)
∠A
(ii)
∠C
(iii)
∠D
(iv)
90°
Question
23
23.
The adjacent angles of the parallelogram are
(i)
∠C & ∠D , ∠D & ∠E , ∠E & ∠F , ∠F & ∠C
(ii)
∠C & ∠D , ∠D & ∠F , ∠F & ∠G , ∠G & ∠C
(iii)
∠C & ∠E , ∠E & ∠D , ∠D & ∠F , ∠F & ∠C
(iv)
∠C & ∠D , ∠D & ∠E , ∠E & ∠G , ∠G & ∠C
(v)
∠C & ∠E , ∠E & ∠F , ∠F & ∠D , ∠D & ∠C
Question
24
24.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
(i)
rectangle
(ii)
square
(iii)
trapezium
(iv)
rhombus
(v)
None of these
Question
25
25.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
square,kite
(ii)
square,parallelogram
(iii)
parallelogram,square,rhombus,rectangle
(iv)
rectangle,rhombus
(v)
square,rectangle
Assignment Key
1) (iv)
2) (iii)
3) (ii)
4) (i)
5) (v)
6) (iv)
7) (ii)
8) (iii)
9) (iii)
10) (iv)
11) (iii)
12) (ii)
13) (i)
14) (i)
15) (ii)
16) (iv)
17) (iv)
18) (iv)
19) (v)
20) (i)
21) (iv)
22) (i)
23) (i)
24) (ii)
25) (iii)
