EduSahara™ Worksheet

Question 1

1.

The quadrilateral whose diagonals are equal and are perpendicular bisectors is a

(i)

rectangle
(ii)

trapezium
(iii)

rhombus
(iv)

parallelogram
(v)

square

Question 2

2.

(i)

∠HEI
(ii)

∠HIG
(iii)

∠EIH
(iv)

∠FEI
(v)

∠IGH

Question 3

3.

(i)

∠ROP
(ii)

∠RSQ
(iii)

∠QSP
(iv)

∠OSR

Question 4

4.

△GDE
is an equilateral triangle in a square
CDEF
.

(i)

76°
(ii)

77°
(iii)

73°
(iv)

74°
(v)

75°

Question 5

5.

Identify the figure below

(i)

angle
(ii)

parallelogram
(iii)

rhombus
(iv)

triangle
(v)

rectangle

Question 6

6.

(i)

NO
(ii)

PM
(iii)

NQ
(iv)

MQ
(v)

PQ

Question 7

7.

The diagonals are equal in a

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

(i)

{a,c}
(ii)

{c,e}
(iii)

{d,a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 8

8.

(i)

△QON
(ii)

△PMN
(iii)

△QOP
(iv)

△QMP

Question 9

9.

Two adjacent angles of a parallelogram LMNO are in the ratio 6 : 12. Find the measure of each of its angles.

(i)

L

=

61°

,

M

=

119°

,

N

=

62°

,

O

=

118°
(ii)

L

=

59°

,

M

=

118°

,

N

=

61°

,

O

=

122°
(iii)

L

=

58°

,

M

=

122°

,

N

=

59°

,

O

=

121°
(iv)

L

=

60°

,

M

=

120°

,

N

=

60°

,

O

=

120°
(v)

L

=

62°

,

M

=

119°

,

N

=

58°

,

O

=

121°

Question 10

10.

Find the missing angle in the given quadrilateral

(i)

72.21°
(ii)

97.21°
(iii)

82.21°
(iv)

67.21°
(v)

77.21°

Question 11

11.

Name all quadrilaterals whose diagonals bisect each other

(i)

square,kite
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,rhombus

Question 12

12.

(i)

∠GHF
(ii)

∠FGH
(iii)

∠HEF
(iv)

∠HGD

Question 13

13.

(i)

NP
(ii)

OP
(iii)

MN
(iv)

PM
(v)

MO

Question 14

14.

(i)

∠PLM
(ii)

∠LPO
(iii)

∠PNO
(iv)

∠OLP

Question 15

15.

In the adjoining figure,
IJKL
is a parallelogram in which

(i)

43.00°
(ii)

46.00°
(iii)

44.00°
(iv)

47.00°
(v)

45.00°

Question 16

16.

How many diagonals does a quadrilateral have?

(i)

1
(ii)

3
(iii)

4
(iv)

2
(v)

0

Question 17

17.

(i)

FH
(ii)

GH
(iii)

GD
(iv)

EH

Question 18

18.

(i)

△RSP
(ii)

△SPQ
(iii)

△PQR
(iv)

△TPQ

Question 19

19.

(i)

∠BCD
(ii)

∠DEB
(iii)

∠BCF
(iv)

∠EBC

Question 20

20.

In the given figure, ABCD is a parallelogram. AS and CT are perpendicular to the diagonal BD. Given ∠TCD = 27°, find ∠DBA

(i)

64°
(ii)

65°
(iii)

63°
(iv)

61°
(v)

62°

Question 21

21.

(i)

△QON
(ii)

△OPM
(iii)

△PNM
(iv)

△QPM
(v)

△PNO

Question 22

22.

(i)

∠GEF
(ii)

∠GED
(iii)

∠CGF
(iv)

∠FCG
(v)

∠FGE

Question 23

23.

One angle of a parallelogram measures
B
=
74.85°
.

Find the measure of each of its remaining angles.

(i)

C

=

105.15°

,

D

=

74.85°

,

E

=

105.15°
(ii)

C

=

104.15°

,

D

=

73.85°

,

E

=

104.15°
(iii)

C

=

106.15°

,

D

=

75.85°

,

E

=

106.15°
(iv)

C

=

103.15°

,

D

=

72.85°

,

E

=

103.15°
(v)

C

=

107.15°

,

D

=

76.85°

,

E

=

107.15°

Question 24

24.

In parallelogram ABCD, if ∠C = 62.18°, then find the value of ∠D

(i)

116.82°
(ii)

117.82°
(iii)

118.82°
(iv)

119.82°
(v)

115.82°

Question 25

25.

(i)

GI
(ii)

JG
(iii)

HI
(iv)

HJ
(v)

GH

Assignment Key