EduSahara™ Worksheet

Question 1

1.

(i)

△LHI
(ii)

△IJK
(iii)

△KHI
(iv)

△JKH

Question 2

2.

(i)

PS
(ii)

PQ
(iii)

RO
(iv)

OS
(v)

RS

Question 3

3.

(i)

∠AED
(ii)

∠BEA
(iii)

∠DAB
(iv)

∠CEB

Question 4

4.

(i)

OP
(ii)

PM
(iii)

NP
(iv)

MN
(v)

MO

Question 5

5.

In the figure given below,
FGHI
is a rhombus.
Find the values of x and y

(i)

x

=

31.65°

,

y

=

31.65°
(ii)

x

=

33.65°

,

y

=

33.65°
(iii)

x

=

30.65°

,

y

=

30.65°
(iv)

x

=

32.65°

,

y

=

32.65°
(v)

x

=

29.65°

,

y

=

29.65°

Question 6

6.

In the adjoining figure,
OPQR
is a parallelogram in which

(i)

61.00°
(ii)

65.00°
(iii)

64.00°
(iv)

62.00°
(v)

63.00°

Question 7

7.

(i)

∠RPQ
(ii)

∠NRQ
(iii)

∠QNR
(iv)

∠RNO

Question 8

8.

The diagonals are equal in a

a)	square
b)	rectangle
c)	parallelogram
d)	rhombus
e)	trapezium

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{d,b,a}
(v)

{a,b}

Question 9

9.

In the figure given below,
NOPQ
is a rectangle.
Find the values of x and y

(i)

x

=

44.03°

,

y

=

87.06°
(ii)

x

=

43.03°

,

y

=

86.06°
(iii)

x

=

42.03°

,

y

=

85.06°
(iv)

x

=

45.03°

,

y

=

88.06°
(v)

x

=

41.03°

,

y

=

84.06°

Question 10

10.

(i)

△LMN
(ii)

△PLM
(iii)

△NOL
(iv)

△MNO

Question 11

11.

The figure formed by successively joining the mid-points of the sides of a rhombus is

(i)

rhombus
(ii)

square
(iii)

parallelogram
(iv)

rectangle

Question 12

12.

(i)

∠NOP
(ii)

∠NOR
(iii)

∠PQN
(iv)

∠OPQ

Question 13

13.

Which of the following have point symmetry ?

a)	rhombus
b)	quadrilateral
c)	rectangle
d)	square
e)	trapezium
f)	parallelogram

(i)

{e,c}
(ii)

{a,c,d,f}
(iii)

{b,a}
(iv)

{b,e,d}
(v)

{b,f,a}

Question 14

14.

Name all quadrilaterals whose opposite sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

square,kite
(iv)

square,parallelogram
(v)

rectangle,rhombus

Question 15

15.

In the given figure
△JKL
,

(i)

JN
(ii)

LJ

2
(iii)

KL

2
(iv)

JK

2
(v)

KL

Question 16

16.

Which of the following properties apply for a parallelogram ?

a)	Diagonals bisect each other
b)	Opposite angles are equal
c)	Opposite sides are equal
d)	Diagonals are equal to each other
e)	Diagonals are perpendicular to each other
f)	Adjacent angles are supplementary

(i)

{e,b}
(ii)

{d,e,c}
(iii)

{a,b,c,f}
(iv)

{d,f,a}
(v)

{d,a}

Question 17

17.

(i)

∠GHF
(ii)

∠GDE
(iii)

∠FHE
(iv)

∠EHD

Question 18

18.

(i)

△EFC
(ii)

△GFC
(iii)

△FDE
(iv)

△FDC
(v)

△GED

Question 19

19.

DEFG is a rhombus in which ∠D = 90° .

EG

is the diagonal. Then △DEF is

(i)

a scalene triangle
(ii)

an equilateral triangle
(iii)

an isosceles triangle
(iv)

None of these
(v)

an obtuse angled triangle

Question 20

20.

Which of the following figures is a regular quadrilateral?

(i)

square
(ii)

trapezium
(iii)

rectangle
(iv)

rhombus
(v)

parallelogram

Question 21

21.

The vertices of the parallelogram are

(i)

B , C , D , G
(ii)

B , C , D , E
(iii)

B , C , E , G
(iv)

B , C , E , F
(v)

B , C , D , F

Question 22

22.

Which of the following statements are true?

a)	Every square is a rectangle
b)	Every rectangle is a parallelogram
c)	Every parallelogram is a rectangle
d)	Every rectangle is a rhombus
e)	Every rhombus is a parallelogram
f)	Every parallelogram is a trapezium
g)	Every square is a rhombus

(i)

{d,b}
(ii)

{c,a}
(iii)

{c,d,e}
(iv)

{a,b,e,f,g}
(v)

{c,f,g}

Question 23

23.

EFGH is an isosceles trapezium. EQ and FQ are angular bisector of ∠E & ∠F. If ∠E = 64°, find ∠EQF

(i)

117°
(ii)

114°
(iii)

115°
(iv)

116°
(v)

118°

Question 24

24.

In the given figure
△GHI
,

(i)

JH
(ii)

IG
(iii)

GK
(iv)

GH
(v)

KI

Question 25

25.

Name all quadrilaterals whose all sides are equal

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rectangle
(iii)

square,parallelogram
(iv)

square,kite
(v)

square,rhombus

Assignment Key