EduSahara™ Worksheet

Question 1

1.

(i)

IF
(ii)

GI
(iii)

FG
(iv)

GH

Question 2

2.

In the adjoining figure, DEFG is a square. A line segment GI cuts the side EF at I and the diagonal DF at H such that ∠GHF = 93.01° and ∠HIF = x°. Find the value of x .

(i)

47.01°
(ii)

50.01°
(iii)

49.01°
(iv)

46.01°
(v)

48.01°

Question 3

3.

(i)

∠EFI
(ii)

∠EFG
(iii)

∠GHI
(iv)

∠HEF
(v)

∠GHE

Question 4

4.

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

(i)

x

=

29.07°

,

y

=

59.14°
(ii)

x

=

32.07°

,

y

=

62.14°
(iii)

x

=

30.07°

,

y

=

60.14°
(iv)

x

=

31.07°

,

y

=

61.14°
(v)

x

=

28.07°

,

y

=

58.14°

Question 5

5.

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

(i)

parallelogram
(ii)

rhombus
(iii)

rectangle
(iv)

square
(v)

trapezium

Question 6

6.

Two angles of a quadrilateral are of measure 76.33° and 97.95° respectively and the other two angles are equal. Find the measure of each of the equal angles.

(i)

94.86°
(ii)

93.86°
(iii)

92.86°
(iv)

90.86°
(v)

91.86°

Question 7

7.

The opposite angles of the quadrilateral are

(i)

∠I & ∠K , ∠J & ∠L
(ii)

∠I & ∠L , ∠K & ∠J
(iii)

∠I & ∠L , ∠J & ∠M
(iv)

∠I & ∠J , ∠K & ∠L
(v)

∠I & ∠K , ∠J & ∠M

Question 8

8.

Three angles of a quadrilateral are equal and the fourth angle measure 102.07°. What is the measure of each of the equal angles?

(i)

85.98°
(ii)

87.98°
(iii)

86.98°
(iv)

83.98°
(v)

84.98°

Question 9

9.

In the given figure, FGHI is a quadrilateral. UI and UH are bisectors of ∠I & ∠H meeting at U. Find ∠HUI

(i)

95.0°
(ii)

94.0°
(iii)

93.0°
(iv)

97.0°
(v)

96.0°

Question 10

10.

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

(i)

x

=

58.31°

,

y

=

35.69°
(ii)

x

=

57.31°

,

y

=

34.69°
(iii)

x

=

54.31°

,

y

=

31.69°
(iv)

x

=

55.31°

,

y

=

32.69°
(v)

x

=

56.31°

,

y

=

33.69°

Question 11

11.

(i)

∠QOP
(ii)

∠QON
(iii)

∠MQP
(iv)

∠PQO
(v)

∠PMQ

Question 12

12.

(i)

∠EFG
(ii)

∠GHE
(iii)

∠EIF
(iv)

∠GHF
(v)

∠EHF

Question 13

13.

Find the missing angle in the given rhombus

(i)

47.03°
(ii)

77.03°
(iii)

52.03°
(iv)

57.03°
(v)

62.03°

Question 14

14.

Which of the following statements are true?

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

(i)

{d,f,c}
(ii)

{d,e,g}
(iii)

{f,b}
(iv)

{d,a}
(v)

{a,b,c,e,g}

Question 15

15.

(i)

∠JKH
(ii)

∠HIL
(iii)

∠JKL
(iv)

∠KHI
(v)

∠IJK

Question 16

16.

Name all quadrilaterals whose adjacent angles are supplementary

(i)

square,parallelogram
(ii)

square,rhombus
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

parallelogram,square,rhombus,rectangle

Question 17

17.

(i)

116.83°
(ii)

119.83°
(iii)

120.83°
(iv)

117.83°
(v)

118.83°

Question 18

18.

(i)

DE
(ii)

GD
(iii)

FG
(iv)

EG

Question 19

19.

In which of the following are the diagonals equal ?

(i)

rhombus
(ii)

parallelogram
(iii)

None of these
(iv)

trapezium
(v)

rectangle

Question 20

20.

(i)

△FEB
(ii)

△ECD
(iii)

△FDC
(iv)

△DEB
(v)

△ECB

Question 21

21.

(i)

△KLM
(ii)

△OKL
(iii)

△LMN
(iv)

△NKL

Question 22

22.

(i)

∠EDH
(ii)

∠GDH
(iii)

∠HFE
(iv)

∠DHG
(v)

∠GHF

Question 23

23.

Name all quadrilaterals whose all angles are right angles

(i)

square,rectangle
(ii)

square,kite
(iii)

rectangle,rhombus
(iv)

square,parallelogram
(v)

parallelogram,square,rhombus,rectangle

Question 24

24.

Three angles of quadrilateral measure 89.6°, 64.67° and 120.09° respectively. Find the measure of the fourth angle

(i)

85.64°
(ii)

87.64°
(iii)

84.64°
(iv)

86.64°
(v)

83.64°

Question 25

25.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rectangle
(ii)

square,parallelogram
(iii)

parallelogram,square,rhombus,rectangle
(iv)

rectangle,rhombus
(v)

square,rhombus

Assignment Key