EduSahara™ Worksheet

Question 1

1.

(i)

DE
(ii)

BC
(iii)

CE
(iv)

BE
(v)

DA

Question 2

2.

(i)

LO
(ii)

NO
(iii)

NK
(iv)

MO

Question 3

3.

Which of the following statements are true?

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

(i)

{g,c}
(ii)

{b,e,f}
(iii)

{a,c,d,e,f}
(iv)

{b,g,d}
(v)

{b,a}

Question 4

4.

In the given figure,
BCDE
is a rectangle whose diagonals intersect at
F
.

(i)

F

=

119.08°

,

D

=

30.46°

,

E

=

30.46°
(ii)

F

=

117.08°

,

D

=

30.46°

,

E

=

32.46°
(iii)

F

=

119.08°

,

D

=

28.46°

,

E

=

32.46°
(iv)

F

=

121.08°

,

D

=

30.46°

,

E

=

28.46°
(v)

F

=

117.08°

,

D

=

32.46°

,

E

=

30.46°

Question 5

5.

HIJK is an isosceles trapezium. HT and IT are angular bisector of ∠H & ∠I. If ∠H = 65°, find ∠HTI

(i)

115°
(ii)

114°
(iii)

116°
(iv)

113°
(v)

117°

Question 6

6.

(i)

△PQN
(ii)

△NOP
(iii)

△OPQ
(iv)

△RNO

Question 7

7.

The diagonals do not divide the quadrilateral into congruent triangles in which figure?

(i)

square
(ii)

parallelogram
(iii)

rectangle
(iv)

rhombus
(v)

trapezium

Question 8

8.

Name all quadrilaterals whose all sides are equal

(i)

square,parallelogram
(ii)

rectangle,rhombus
(iii)

square,kite
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 9

9.

How many diagonals does a quadrilateral have?

(i)

1
(ii)

3
(iii)

2
(iv)

0
(v)

4

Question 10

10.

The name of the quadrilateral is

(i)

CEFD
(ii)

CEDF
(iii)

CDEG
(iv)

CDFG
(v)

CDEF

Question 11

11.

If the two diagonals of a parallelogram are equal and right bisectors of each other, it is a

(i)

rectangle
(ii)

trapezium
(iii)

square
(iv)

rhombus
(v)

None of these

Question 12

12.

The adjacent sides of the parallelogram are

(i)

GI

&

IH

,

IH

&

HJ

,

HJ

&

JG

,

JG

&

GI

(ii)

GH

&

HJ

,

HJ

&

JK

,

JK

&

KG

,

KG

&

GH

(iii)

GI

&

IJ

,

IJ

&

JH

,

JH

&

HG

,

HG

&

GI

(iv)

GH

&

HI

,

HI

&

IJ

,

IJ

&

JG

,

JG

&

GH

(v)

GH

&

HI

,

HI

&

IK

,

IK

&

KG

,

KG

&

GH

Question 13

13.

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

(i)

x

=

44.57°

,

y

=

44.57°
(ii)

x

=

47.57°

,

y

=

47.57°
(iii)

x

=

43.57°

,

y

=

43.57°
(iv)

x

=

45.57°

,

y

=

45.57°
(v)

x

=

46.57°

,

y

=

46.57°

Question 14

14.

The diagonals of the parallelogram are

(i)

NP

,

MO
(ii)

NQ

,

MO
(iii)

NQ

,

MP
(iv)

ON

,

MP
(v)

OP

,

MN

Question 15

15.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

square,rectangle
(iii)

parallelogram,square,rhombus,rectangle
(iv)

square,kite
(v)

square,parallelogram

Question 16

16.

(i)

FH
(ii)

HI
(iii)

GH
(iv)

GI
(v)

FG

Question 17

17.

In the adjoining figure,
KLMN
is a parallelogram in which

(i)

56.05°
(ii)

57.05°
(iii)

53.05°
(iv)

54.05°
(v)

55.05°

Question 18

18.

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

(i)

rectangle
(ii)

square
(iii)

parallelogram
(iv)

rhombus

Question 19

19.

Which of the following properties apply for a trapezium ?

(i)

One pair of opposite sides are parallel
(ii)

Adjacent angles are supplementary
(iii)

Both adjacent angles are obtuse
(iv)

Diagonals bisect each other
(v)

Diagonals are perpendicular to each other

Question 20

20.

Which of the following are true?

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

(i)

{b,d,c}
(ii)

{c,d}
(iii)

{a,c}
(iv)

{b,d}
(v)

{e,a,c}

Question 21

21.

Which of the following properties apply for a rhombus ?

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

(i)

{c,a}
(ii)

{c,f,d}
(iii)

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

{f,b}
(v)

{c,e,g}

Question 22

22.

One angle of a parallelogram measures
H
=
70.81°
.

Find the measure of each of its remaining angles.

(i)

I

=

109.19°

,

J

=

70.81°

,

K

=

109.19°
(ii)

I

=

110.19°

,

J

=

71.81°

,

K

=

110.19°
(iii)

I

=

111.19°

,

J

=

72.81°

,

K

=

111.19°
(iv)

I

=

107.19°

,

J

=

68.81°

,

K

=

107.19°
(v)

I

=

108.19°

,

J

=

69.81°

,

K

=

108.19°

Question 23

23.

Which of the following are true?

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

(i)

{b,d,c}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{e,a,c}
(v)

{a,c}

Question 24

24.

Which of the following are true?

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

(i)

{c,e}
(ii)

{a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{d,a,c}

Question 25

25.

(i)

IJ
(ii)

LI
(iii)

JL
(iv)

KL

Assignment Key