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
∠OPS
≠
(i)
∠SRO
(ii)
∠RSQ
(iii)
∠SPQ
(iv)
∠QRS
Question
2
2.
Find the missing angle in the given quadrilateral
(i)
54.9°
(ii)
69.9°
(iii)
84.9°
(iv)
64.9°
(v)
59.9°
Question
3
3.
Find the missing angle in the given parallelogram
(i)
82.19°
(ii)
62.19°
(iii)
52.19°
(iv)
67.19°
(v)
57.19°
Question
4
4.
Two angles of a quadrilateral are of measure 117.03° and 102.69° respectively and the other two angles are equal. Find the measure of each of the equal angles.
(i)
71.14°
(ii)
70.14°
(iii)
72.14°
(iv)
69.14°
(v)
68.14°
Question
5
5.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
∠RST
≠
(i)
∠TSP
(ii)
∠STR
(iii)
∠TQR
(iv)
∠PQT
Question
6
6.
The angles of a quadrilateral KLMN are in the ratio 5 : 4 : 6 : 9. Find the measure of each angle of the quadrilateral.
(i)
K
=
74°
,
L
=
58°
,
M
=
91°
,
N
=
137°
(ii)
K
=
73°
,
L
=
62°
,
M
=
89°
,
N
=
136°
(iii)
K
=
75°
,
L
=
60°
,
M
=
90°
,
N
=
135°
(iv)
K
=
76°
,
L
=
59°
,
M
=
92°
,
N
=
133°
(v)
K
=
77°
,
L
=
59°
,
M
=
88°
,
N
=
136°
Question
7
7.
Sum of the interior angles in a triangle is
(i)
190°
(ii)
210°
(iii)
195°
(iv)
185°
(v)
180°
Question
8
8.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
△HIJ
≅
(i)
△JGH
(ii)
△IJG
(iii)
△GHI
(iv)
△KGH
Question
9
9.
The exterior angles of the triangle are
(i)
∠MLJ , ∠NJK , ∠OKL
(ii)
∠NMK , ∠OKL , ∠PLM
(iii)
∠ONL , ∠PLM , ∠QMN
(iv)
∠LMJ , ∠MJK , ∠NKM
(v)
∠MNK , ∠NKL , ∠OLN
Question
10
10.
Which of the following are true?
a)
A square is a parallelogram
b)
A rectangle is a square
c)
A parallelogram is a square
d)
A rectangle is a parallelogram
e)
A parallelogram is a rectangle
(i)
{a,d}
(ii)
{e,b,a}
(iii)
{c,d}
(iv)
{c,d,a}
(v)
{b,a}
Question
11
11.
Sum of the interior angles in a nonagon is
(i)
1290°
(ii)
1270°
(iii)
1260°
(iv)
1265°
(v)
1275°
Question
12
12.
In rhombus
PQRS
, diagonals
PR
and
QS
intersect at
T
. Then
△TRS
≇
(i)
△TPQ
(ii)
△SPQ
(iii)
△TPS
(iv)
△TRQ
Question
13
13.
Identify the figure below
(i)
rhombus
(ii)
rectangle
(iii)
triangle
(iv)
trapezium
(v)
kite
Question
14
14.
Name all quadrilaterals whose opposite angles are equal
(i)
square,kite
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,rhombus
(iv)
square,rectangle
(v)
rectangle,rhombus
Question
15
15.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
△LMN
≅
(i)
△MNO
(ii)
△PLM
(iii)
△NOL
(iv)
△OLM
Question
16
16.
In rhombus
FGHI
, diagonals
FH
and
GI
intersect at
J
. Then
IF
∥
(i)
FG
(ii)
HI
(iii)
GI
(iv)
GH
Question
17
17.
Identify the figure below
(i)
trapezium
(ii)
square
(iii)
rhombus
(iv)
angle
(v)
kite
Question
18
18.
The vertices of the quadrilateral are
(i)
G , H , I , L
(ii)
G , H , J , L
(iii)
G , H , J , K
(iv)
G , H , I , K
(v)
G , H , I , J
Question
19
19.
In rhombus
LMNO
, diagonals
LN
and
MO
intersect at
P
. Then
∠NPM
≠
(i)
∠LPO
(ii)
∠OPN
(iii)
∠MPL
(iv)
∠OLM
Question
20
20.
In kite
HIJK
,
HJ
and
IK
are diagonals. Then
△LJK
≅
(i)
△KIH
(ii)
△LJI
(iii)
△KIJ
(iv)
△LIH
(v)
△LKH
Question
21
21.
In rhombus
CDEF
, diagonals
CE
and
DF
intersect at
G
. Then
∠GCD
≠
(i)
∠FCG
(ii)
∠DEG
(iii)
∠GEF
(iv)
∠CGF
Question
22
22.
△JGH
is an equilateral triangle in a square
FGHI
.
If
FH
and
JG
intersect at
K
,
then find the value of x.
(i)
73°
(ii)
76°
(iii)
77°
(iv)
75°
(v)
74°
Question
23
23.
In rhombus
GHIJ
, diagonals
GI
and
HJ
intersect at
K
. Then
∠JKI
≠
(i)
∠HKG
(ii)
∠GKJ
(iii)
∠JGH
(iv)
∠IKH
Question
24
24.
Name all quadrilaterals whose adjacent angles are supplementary
(i)
square,rhombus
(ii)
parallelogram,square,rhombus,rectangle
(iii)
square,parallelogram
(iv)
rectangle,rhombus
(v)
square,kite
Question
25
25.
In kite
PQRS
,
PR
and
QS
are diagonals. Then
∠PTQ
=
(i)
∠PQR
(ii)
∠PSQ
(iii)
∠RSP
(iv)
∠PTS
(v)
∠RSQ
Assignment Key
1) (ii)
2) (i)
3) (iii)
4) (ii)
5) (ii)
6) (iii)
7) (v)
8) (i)
9) (i)
10) (i)
11) (iii)
12) (ii)
13) (iv)
14) (ii)
15) (iii)
16) (iv)
17) (v)
18) (v)
19) (iv)
20) (ii)
21) (iv)
22) (iv)
23) (iii)
24) (ii)
25) (iv)
