EduSahara™ Worksheet

Question 1

1.

Sum of the interior angles in a decagon is

(i)

1440°
(ii)

1450°
(iii)

1455°
(iv)

1470°
(v)

1445°

Question 2

2.

Which of the following statements are true?

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

(i)

{f,a,e}
(ii)

{a,b}
(iii)

{b,c,e,g}
(iv)

{d,c}
(v)

{d,g,b}

Question 3

3.

(i)

△SPQ
(ii)

△TRS
(iii)

△TRQ
(iv)

△TPQ

Question 4

4.

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

(i)

x

=

33.82°

,

y

=

58.18°
(ii)

x

=

34.82°

,

y

=

59.18°
(iii)

x

=

32.82°

,

y

=

57.18°
(iv)

x

=

30.82°

,

y

=

55.18°
(v)

x

=

31.82°

,

y

=

56.18°

Question 5

5.

(i)

∠QNO
(ii)

∠PQR
(iii)

∠NOP
(iv)

∠OPQ
(v)

∠NOR

Question 6

6.

Identify the figure below

(i)

decagon
(ii)

quadrilateral
(iii)

hexagon
(iv)

circle
(v)

heptagon

Question 7

7.

The vertices of the quadrilateral are

(i)

D , E , G , I
(ii)

D , E , F , I
(iii)

D , E , F , H
(iv)

D , E , G , H
(v)

D , E , F , G

Question 8

8.

The exterior angles of the triangle are

(i)

∠IJG , ∠JGH , ∠KHJ
(ii)

∠HIF , ∠IFG , ∠JGI
(iii)

∠IHF , ∠JFG , ∠KGH
(iv)

∠JIG , ∠KGH , ∠LHI
(v)

∠KJH , ∠LHI , ∠MIJ

Question 9

9.

Which of the following properties apply for a rhombus ?

a)	Opposite angles are equal
b)	Opposite sides are parallel
c)	Diagonals are equal
d)	Diagonals bisect each other
e)	Adjacent sides are equal
f)	Adjacent angles are equal
g)	Opposite sides are equal

(i)

{c,a}
(ii)

{a,b,d,e,g}
(iii)

{c,f,d}
(iv)

{f,b}
(v)

{c,e,g}

Question 10

10.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

parallelogram,square,rhombus,rectangle
(ii)

rectangle,rhombus
(iii)

square,kite
(iv)

square,parallelogram
(v)

square,rhombus

Question 11

11.

(i)

NK
(ii)

NO
(iii)

KO
(iv)

MO

Question 12

12.

Identify the figure below

(i)

angle
(ii)

parallelogram
(iii)

trapezium
(iv)

triangle
(v)

circle

Question 13

13.

One of the diagonals of a rhombus is equal to one of its sides. Find the angles of the rhombus

(i)

L

=

62°

,

M

=

119°

,

N

=

58°

,

O

=

121°
(ii)

L

=

60°

,

M

=

120°

,

N

=

60°

,

O

=

120°
(iii)

L

=

61°

,

M

=

119°

,

N

=

62°

,

O

=

118°
(iv)

L

=

59°

,

M

=

118°

,

N

=

61°

,

O

=

122°
(v)

L

=

58°

,

M

=

122°

,

N

=

59°

,

O

=

121°

Question 14

14.

Sum of the interior angles in a quadrilateral is

(i)

360°
(ii)

370°
(iii)

365°
(iv)

375°
(v)

390°

Question 15

15.

In the adjoining figure,
EFGH
is a parallelogram in which

(i)

37.31°
(ii)

40.31°
(iii)

36.31°
(iv)

38.31°
(v)

39.31°

Question 16

16.

(i)

FH
(ii)

FG
(iii)

HE
(iv)

EF

Question 17

17.

Sum of the interior angles in a hexagon is

(i)

725°
(ii)

735°
(iii)

730°
(iv)

720°
(v)

750°

Question 18

18.

(i)

86.06°
(ii)

87.06°
(iii)

89.06°
(iv)

88.06°
(v)

85.06°

Question 19

19.

Name all quadrilaterals whose diagonals are perpendicular and bisect each other

(i)

parallelogram,square,rhombus,rectangle
(ii)

square,rhombus
(iii)

rectangle,rhombus
(iv)

square,rectangle
(v)

square,kite

Question 20

20.

The adjacent sides of the quadrilateral are

(i)

OQ

&

QP

,

QP

&

PR

,

PR

&

RO

,

RO

&

OQ

(ii)

OP

&

PQ

,

PQ

&

QS

,

QS

&

SO

,

SO

&

OP

(iii)

OQ

&

QR

,

QR

&

RP

,

RP

&

PO

,

PO

&

OQ

(iv)

OP

&

PR

,

PR

&

RS

,

RS

&

SO

,

SO

&

OP

(v)

OP

&

PQ

,

PQ

&

QR

,

QR

&

RO

,

RO

&

OP

Question 21

21.

Which of the following are true?

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

(i)

{c,e,b}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{a,b}
(v)

{d,a,b}

Question 22

22.

Which of the following are true?

a)	A rhombus is a parallelogram
b)	A kite is a rhombus
c)	A parallelogram is a rhombus
d)	A trapezium is a parallelogram
e)	A rhombus is a kite

(i)

{a,e}
(ii)

{c,e,a}
(iii)

{b,a}
(iv)

{d,b,a}
(v)

{c,e}

Question 23

23.

(i)

IK
(ii)

KH
(iii)

IJ
(iv)

HI
(v)

HJ

Question 24

24.

Identify the figure below

(i)

rhombus
(ii)

trapezium
(iii)

triangle
(iv)

rectangle
(v)

kite

Question 25

25.

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

(i)

x

=

50.81°

,

y

=

43.19°
(ii)

x

=

47.81°

,

y

=

40.19°
(iii)

x

=

49.81°

,

y

=

42.19°
(iv)

x

=

46.81°

,

y

=

39.19°
(v)

x

=

48.81°

,

y

=

41.19°

Assignment Key