EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Understanding Quadrilaterals
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
In rhombus
OPQR
, diagonals
OQ
and
PR
intersect at
S
. Then
△SQR
≇
(i)
△SOR
(ii)
△SQP
(iii)
△SOP
(iv)
△ROP
Question
2
2.
In parallelogram
CDEF
,
diagonals
DF
and
CE
intersect at
G
. Then
FC
=
(i)
CD
(ii)
CE
(iii)
DF
(iv)
EF
(v)
DE
Question
3
3.
Two adjacent angles of a parallelogram LMNO are in the ratio 26 : 34. Find the measure of each of its angles.
(i)
L
=
76°
,
M
=
104°
,
N
=
77°
,
O
=
103°
(ii)
L
=
77°
,
M
=
100°
,
N
=
79°
,
O
=
104°
(iii)
L
=
78°
,
M
=
102°
,
N
=
78°
,
O
=
102°
(iv)
L
=
80°
,
M
=
101°
,
N
=
76°
,
O
=
103°
(v)
L
=
79°
,
M
=
101°
,
N
=
80°
,
O
=
100°
Question
4
4.
Find the number of sides in a regular polygon if each
exterior
angle is
6°
(i)
63
(ii)
59
(iii)
58
(iv)
60
(v)
61
Question
5
5.
How many diagonals does an octagon have?
(i)
17
(ii)
23
(iii)
21
(iv)
20
(v)
19
Question
6
6.
Sum of the interior angles in a triangle is
(i)
185°
(ii)
195°
(iii)
210°
(iv)
180°
(v)
190°
Question
7
7.
The exterior angles of the triangle are
(i)
∠KJH , ∠LHI , ∠MIJ
(ii)
∠JKH , ∠KHI , ∠LIK
(iii)
∠JIG , ∠KGH , ∠LHI
(iv)
∠LKI , ∠MIJ , ∠NJK
(v)
∠IJG , ∠JGH , ∠KHJ
Question
8
8.
The angles of the quadrilateral are
(i)
∠P , ∠Q , ∠S , ∠T
(ii)
∠P , ∠Q , ∠R , ∠U
(iii)
∠P , ∠Q , ∠R , ∠T
(iv)
∠P , ∠Q , ∠R , ∠S
(v)
∠P , ∠Q , ∠S , ∠U
Question
9
9.
If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a
(i)
trapezium
(ii)
square
(iii)
rhombus
(iv)
rectangle
(v)
None of these
Question
10
10.
Which of the following statements are true?
a)
A square is a rectangle
b)
A parallelogram is a trapezium
c)
A trapezium is a parallelogram
d)
A rectangle is a parallelogram
e)
A square is a rhombus
f)
A parallelogram is a rhombus
g)
A rhombus is a square
(i)
{f,b}
(ii)
{g,c,d}
(iii)
{a,b,d,e}
(iv)
{c,a}
(v)
{f,e,a}
Question
11
11.
Name all quadrilaterals whose diagonals are equal
(i)
square,rhombus
(ii)
square,parallelogram
(iii)
parallelogram,square,rhombus,rectangle
(iv)
square,kite
(v)
square,rectangle
Question
12
12.
In kite
MNOP
,
MO
and
NP
are diagonals. Then
△QNM
≅
(i)
△PNM
(ii)
△QOP
(iii)
△PNO
(iv)
△QPM
(v)
△QON
Question
13
13.
Identify the figure below
(i)
kite
(ii)
angle
(iii)
square
(iv)
rhombus
(v)
triangle
Question
14
14.
Identify the figure below
(i)
square
(ii)
kite
(iii)
trapezium
(iv)
parallelogram
(v)
circle
Question
15
15.
The angles of a quadrilateral MNOP are in the ratio 7 : 8 : 6 : 15. Find the measure of each angle of the quadrilateral.
(i)
M
=
69°
,
N
=
78°
,
O
=
61°
,
P
=
152°
(ii)
M
=
68°
,
N
=
82°
,
O
=
59°
,
P
=
151°
(iii)
M
=
71°
,
N
=
79°
,
O
=
62°
,
P
=
148°
(iv)
M
=
72°
,
N
=
79°
,
O
=
58°
,
P
=
151°
(v)
M
=
70°
,
N
=
80°
,
O
=
60°
,
P
=
150°
Question
16
16.
In kite
NOPQ
,
NP
and
OQ
are diagonals. Then
△RQN
≅
(i)
△QON
(ii)
△RON
(iii)
△RPQ
(iv)
△QOP
(v)
△RPO
Question
17
17.
In the adjoining figure, MNOP is a square. A line segment PR cuts the side NO at R and the diagonal MO at Q such that ∠PQO = 104.28° and ∠QRO = x°. Find the value of x .
(i)
60.28°
(ii)
58.28°
(iii)
59.28°
(iv)
57.28°
(v)
61.28°
Question
18
18.
Sum of the interior angles in a nonagon is
(i)
1260°
(ii)
1275°
(iii)
1265°
(iv)
1270°
(v)
1290°
Question
19
19.
In rhombus
DEFG
, diagonals
DF
and
EG
intersect at
H
. Then
DH
=
(i)
FH
(ii)
EH
(iii)
GD
(iv)
GH
Question
20
20.
Identify the figure below
(i)
trapezium
(ii)
rhombus
(iii)
kite
(iv)
parallelogram
(v)
rectangle
Question
21
21.
Identify the figure below
(i)
pentagon
(ii)
quadrilateral
(iii)
hexagon
(iv)
nonagon
(v)
triangle
Question
22
22.
In kite
KLMN
,
KM
and
LN
are diagonals. Then
∠KOL
=
(i)
∠KLM
(ii)
∠MNL
(iii)
∠KNL
(iv)
∠MNK
(v)
∠KON
Question
23
23.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
OL
∥
(i)
NO
(ii)
LM
(iii)
MN
(iv)
MO
Question
24
24.
In kite
BCDE
,
BD
and
CE
are diagonals. Then
∠FDC
=
(i)
∠BFE
(ii)
∠FDE
(iii)
∠EFD
(iv)
∠EBF
(v)
∠CBF
Question
25
25.
In parallelogram
BCDE
,
diagonals
CE
and
BD
intersect at
F
. Then
DE
∥
(i)
BC
(ii)
CD
(iii)
BD
(iv)
EB
(v)
CE
Assignment Key
1) (iv)
2) (v)
3) (iii)
4) (iv)
5) (iv)
6) (iv)
7) (iii)
8) (iv)
9) (ii)
10) (iii)
11) (v)
12) (iv)
13) (iii)
14) (iii)
15) (v)
16) (ii)
17) (iii)
18) (i)
19) (i)
20) (ii)
21) (i)
22) (v)
23) (iii)
24) (ii)
25) (i)
