EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Quadrilaterals
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Two adjacent angles of a parallelogram CDEF are in the ratio 8 : 12. Find the measure of each of its angles.
(i)
C
=
74°
,
D
=
107°
,
E
=
70°
,
F
=
109°
(ii)
C
=
73°
,
D
=
107°
,
E
=
74°
,
F
=
106°
(iii)
C
=
72°
,
D
=
108°
,
E
=
72°
,
F
=
108°
(iv)
C
=
70°
,
D
=
110°
,
E
=
71°
,
F
=
109°
(v)
C
=
71°
,
D
=
106°
,
E
=
73°
,
F
=
110°
Question
2
2.
CDEF is a quadrilateral. Q, R, S and T are mid-points of CD, DE, EF and FC respectively.If CE = 29 cm and DF = 17 cm, find the measure of the sides of QRST.
(i)
16 cm
,
8.5 cm
,
16 cm
,
8.5 cm
(ii)
14.5 cm
,
8.5 cm
,
14.5 cm
,
8.5 cm
(iii)
14.5 cm
,
5 cm
,
14.5 cm
,
5 cm
(iv)
14.5 cm
,
7 cm
,
14.5 cm
,
7 cm
(v)
15 cm
,
8.5 cm
,
15 cm
,
8.5 cm
Question
3
3.
In parallelogram
MNOP
,
diagonals
NP
and
MO
intersect at
Q
. Then
OP
∥
(i)
NO
(ii)
PM
(iii)
MO
(iv)
NP
(v)
MN
Question
4
4.
In the adjoining figure,
ABCD
is a rhombus whose diagonals intersect at
O
.
If
∠OAB
:
∠ABO
=
2 : 13
,
find the angles of
△OAB
.
(i)
O
=
90°
,
A
=
10°
,
B
=
80°
(ii)
O
=
88°
,
A
=
12°
,
B
=
80°
(iii)
O
=
90°
,
A
=
12°
,
B
=
78°
(iv)
O
=
92°
,
A
=
12°
,
B
=
76°
(v)
O
=
88°
,
A
=
14°
,
B
=
78°
Question
5
5.
The sum of the interior angles of a quadrilateral is
(i)
360°
(ii)
90°
(iii)
180°
(iv)
270°
Question
6
6.
In kite
JKLM
,
JL
and
KM
are diagonals. Then
△LMJ
≅
(i)
△NLK
(ii)
△NMJ
(iii)
△MKJ
(iv)
△LKJ
(v)
△MKL
Question
7
7.
In the adjoining figure,
NOPQ
is a parallelogram in which
∠QNP = 16.49°
,
∠PNO = 14.76°
,
∠QRP = 101.89°
. Calculate
∠NOQ
(i)
61.35°
(ii)
62.35°
(iii)
65.35°
(iv)
63.35°
(v)
64.35°
Question
8
8.
Which of the following statements are true?
a)
Every square is a rhombus
b)
Every parallelogram is a trapezium
c)
Every parallelogram is a rectangle
d)
Every rectangle is a parallelogram
e)
Every square is a rectangle
f)
Every rhombus is a parallelogram
g)
Every rectangle is a rhombus
(i)
{a,b,d,e,f}
(ii)
{c,a}
(iii)
{c,g,d}
(iv)
{g,b}
(v)
{c,e,f}
Question
9
9.
In parallelogram
EFGH
,
diagonals
FH
and
EG
intersect at
I
. Then
HE
=
(i)
FG
(ii)
EF
(iii)
GH
(iv)
FH
(v)
EG
Question
10
10.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠PMN
≠
(i)
∠POL
(ii)
∠LMP
(iii)
∠NOP
(iv)
∠OPN
Question
11
11.
In rhombus
MNOP
, diagonals
MO
and
NP
intersect at
Q
. Then
∠NOP
=
(i)
∠PMN
(ii)
∠MNQ
(iii)
∠OPM
(iv)
∠MNO
Question
12
12.
In parallelogram
GHIJ
,
diagonals
HJ
and
GI
intersect at
K
. Then
∠JGH
=
(i)
∠GHK
(ii)
∠HIJ
(iii)
∠GHI
(iv)
∠IJG
(v)
∠IJK
Question
13
13.
If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is
(i)
91°
(ii)
89°
(iii)
88°
(iv)
90°
(v)
92°
Question
14
14.
JKLM is a rhombus in which ∠J = 102° .
KM
is the diagonal. Then △JKL is
(i)
None of these
(ii)
a scalene triangle
(iii)
an obtuse angled triangle
(iv)
an equilateral triangle
(v)
an isosceles triangle
Question
15
15.
In rhombus
EFGH
, diagonals
EG
and
FH
intersect at
I
. Then
GH
∥
(i)
HE
(ii)
EF
(iii)
FG
(iv)
FH
Question
16
16.
Which of the following figures is a regular quadrilateral?
(i)
rectangle
(ii)
rhombus
(iii)
square
(iv)
trapezium
(v)
parallelogram
Question
17
17.
The opposite angles of the parallelogram are
(i)
∠E & ∠H , ∠G & ∠F
(ii)
∠E & ∠G , ∠F & ∠H
(iii)
∠E & ∠G , ∠F & ∠I
(iv)
∠E & ∠H , ∠F & ∠I
(v)
∠E & ∠F , ∠G & ∠H
Question
18
18.
The diagonals are equal in a
a)
rhombus
b)
rectangle
c)
parallelogram
d)
trapezium
e)
square
(i)
{d,a,b}
(ii)
{a,b}
(iii)
{c,e,b}
(iv)
{c,e}
(v)
{b,e}
Question
19
19.
Identify the figure below
(i)
rhombus
(ii)
trapezium
(iii)
rectangle
(iv)
parallelogram
(v)
triangle
Question
20
20.
In the given parallelogram, which of the following statements are true?
a)
BE
=
EA
b)
△EAB
≅
△ECD
c)
∠BCD
=
∠DAB
d)
BE
=
DE
e)
△BDA
≅
△CDA
(i)
{a,e,d}
(ii)
{a,b}
(iii)
{a,b,c}
(iv)
{e,c}
(v)
{b,c,d}
Question
21
21.
In the given figure, CDEF is a rhombus such that ∠D = 120°. Then △CDF is
(i)
Obtuse angled triangle
(ii)
Equilateral triangle
(iii)
Isosceles triangle
(iv)
Right angled triangle
Question
22
22.
Two adjacent angles of a parallelogram are in the ratio
3 : 33
.
Find the measure of each of its angles.
(i)
A
=
13°
,
B
=
167°
,
C
=
14°
,
D
=
166°
(ii)
A
=
15°
,
B
=
165°
,
C
=
15°
,
D
=
165°
(iii)
A
=
16°
,
B
=
164°
,
C
=
17°
,
D
=
163°
(iv)
A
=
14°
,
B
=
163°
,
C
=
16°
,
D
=
167°
(v)
A
=
17°
,
B
=
164°
,
C
=
13°
,
D
=
166°
Question
23
23.
In kite
CDEF
,
CE
and
DF
are diagonals. Then
∠DCG
=
(i)
∠GEF
(ii)
∠GED
(iii)
∠FGE
(iv)
∠FCG
(v)
∠CGF
Question
24
24.
Three angles of a quadrilateral are equal and the fourth angle measure 92.48°. What is the measure of each of the equal angles?
(i)
87.17°
(ii)
90.17°
(iii)
88.17°
(iv)
89.17°
(v)
91.17°
Question
25
25.
If one of the angles of a rhombus is a right angle, it is a
(i)
square
(ii)
parallelogram
(iii)
None of these
(iv)
trapezium
(v)
rectangle
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (iii)
5) (i)
6) (iv)
7) (iv)
8) (i)
9) (i)
10) (iv)
11) (i)
12) (ii)
13) (iv)
14) (v)
15) (ii)
16) (iii)
17) (ii)
18) (v)
19) (iii)
20) (v)
21) (ii)
22) (ii)
23) (iv)
24) (iv)
25) (i)
