EduSahara™ Worksheet

Question 1

1.

Which of the following are true?

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

(i)

{d,a,c}
(ii)

{b,e,c}
(iii)

{b,e}
(iv)

{c,e}
(v)

{a,c}

Question 2

2.

(i)

△RPO
(ii)

△RNQ
(iii)

△RPQ
(iv)

△QNO

Question 3

3.

Which of the following properties apply for a trapezium ?

(i)

One pair of opposite sides are parallel
(ii)

Diagonals are equal
(iii)

Adjacent angles are supplementary
(iv)

Both adjacent angles are obtuse
(v)

Diagonals are perpendicular to each other

Question 4

4.

In the adjoining figure,
PQRS
is a parallelogram in which

(i)

37.19°
(ii)

36.19°
(iii)

40.19°
(iv)

39.19°
(v)

38.19°

Question 5

5.

(i)

∠GHI
(ii)

∠HIF
(iii)

∠FGH
(iv)

∠FGJ

Question 6

6.

(i)

△FGH
(ii)

△IEF
(iii)

△GHE
(iv)

△HEF

Question 7

7.

The name of the rhombus is

(i)

IKLJ
(ii)

IJKM
(iii)

IKJL
(iv)

IJKL
(v)

IJLM

Question 8

8.

The measures of three angles of a quadrilateral are
85.46°
,
94.54°
and
85.46°
. Find the fourth angle

(i)

124.54°
(ii)

99.54°
(iii)

109.54°
(iv)

104.54°
(v)

94.54°

Question 9

9.

In the adjoining figure, equilateral △RQS surmounts square OPQR. If QSP = x°, find the value of x.

(i)

16°
(ii)

15°
(iii)

13°
(iv)

17°
(v)

14°

Question 10

10.

If the opposite angles of a parallelogram are supplementary, the measure of each of its angles is

(i)

92°
(ii)

91°
(iii)

88°
(iv)

90°
(v)

89°

Question 11

11.

(i)

△IJK
(ii)

△JKL
(iii)

△KLI
(iv)

△MIJ

Question 12

12.

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

(i)

F

=

60°

,

G

=

120°

,

H

=

60°

,

I

=

120°
(ii)

F

=

61°

,

G

=

119°

,

H

=

62°

,

I

=

118°
(iii)

F

=

62°

,

G

=

119°

,

H

=

58°

,

I

=

121°
(iv)

F

=

58°

,

G

=

122°

,

H

=

59°

,

I

=

121°
(v)

F

=

59°

,

G

=

118°

,

H

=

61°

,

I

=

122°

Question 13

13.

The opposite sides of the rhombus are

(i)

BC

&

EF

,

CE

&

FB
(ii)

BD

&

CE

,

DC

&

EB
(iii)

BC

&

DE

,

CD

&

EB
(iv)

BD

&

EC

,

DE

&

CB
(v)

BC

&

DF

,

CD

&

FB

Question 14

14.

Which of the following statements are true?

a)	All trapeziums are parallelograms
b)	The set of parallelograms is a subset of the set of trapeziums
c)	All quadrilaterals are trapeziums
d)	All quadrilaterals are parallelograms
e)	A parallelogram is a trapezium

(i)

{c,e,b}
(ii)

{c,e}
(iii)

{d,a,b}
(iv)

{a,b}
(v)

{b,e}

Question 15

15.

(i)

IL
(ii)

KH
(iii)

KL
(iv)

JL

Question 16

16.

One angle of a parallelogram measures
P
=
59.49°
.

Find the measure of each of its remaining angles.

(i)

Q

=

119.51°

,

R

=

58.49°

,

S

=

119.51°
(ii)

Q

=

120.51°

,

R

=

59.49°

,

S

=

120.51°
(iii)

Q

=

118.51°

,

R

=

57.49°

,

S

=

118.51°
(iv)

Q

=

121.51°

,

R

=

60.49°

,

S

=

121.51°
(v)

Q

=

122.51°

,

R

=

61.49°

,

S

=

122.51°

Question 17

17.

(i)

△IJG
(ii)

△IJK
(iii)

△GHK
(iv)

△HIJ
(v)

△GHI

Question 18

18.

(i)

∠AED
(ii)

∠EAB
(iii)

∠DAE
(iv)

∠ECD

Question 19

19.

Identify the figure below

(i)

circle
(ii)

angle
(iii)

trapezium
(iv)

square
(v)

kite

Question 20

20.

(i)

∠KLJ
(ii)

∠HIL
(iii)

∠LIJ
(iv)

∠LKH

Question 21

21.

(i)

HI
(ii)

HJ
(iii)

GH
(iv)

JG

Question 22

22.

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

(i)

x

=

63.3°

,

y

=

63.3°
(ii)

x

=

67.3°

,

y

=

67.3°
(iii)

x

=

65.3°

,

y

=

65.3°
(iv)

x

=

66.3°

,

y

=

66.3°
(v)

x

=

64.3°

,

y

=

64.3°

Question 23

23.

(i)

EB
(ii)

BC
(iii)

BD
(iv)

CE
(v)

DE

Question 24

24.

(i)

∠EGD
(ii)

∠CGF
(iii)

∠DGC
(iv)

∠FCD

Question 25

25.

Which of the following statements are true?

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

(i)

{a,b,c,d,e}
(ii)

{f,a}
(iii)

{f,d,e}
(iv)

{g,b}
(v)

{f,g,c}

Assignment Key