EduSahara™ Worksheet

Question 1

1.

In the adjoining figure, side OP of parallelogram NOPQ has been produced to R. If ∠QPR = 120.64° , find the measure of each angle of the parallelogram.

(i)

N

=

59.36°

,

O

=

120.64°

,

P

=

59.36°

,

Q

=

120.64°
(ii)

N

=

60.36°

,

O

=

119.64°

,

P

=

61.36°

,

Q

=

118.64°
(iii)

N

=

57.36°

,

O

=

122.64°

,

P

=

58.36°

,

Q

=

121.64°
(iv)

N

=

61.36°

,

O

=

119.64°

,

P

=

57.36°

,

Q

=

121.64°
(v)

N

=

58.36°

,

O

=

118.64°

,

P

=

60.36°

,

Q

=

122.64°

Question 2

2.

(i)

∠PMN
(ii)

∠MQP
(iii)

∠NQM
(iv)

∠PQO

Question 3

3.

(i)

JG
(ii)

IJ
(iii)

HJ
(iv)

HI
(v)

GI

Question 4

4.

In the given figure, ABCD is a rhombus such that ∠B = 120°. Then △ABD is

(i)

Right angled triangle
(ii)

Isosceles triangle
(iii)

Equilateral triangle
(iv)

Obtuse angled triangle

Question 5

5.

Name all quadrilaterals whose opposite sides are parallel

(i)

square,kite
(ii)

square,rectangle
(iii)

rectangle,rhombus
(iv)

parallelogram,square,rhombus,rectangle
(v)

square,rhombus

Question 6

6.

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

(i)

rectangle
(ii)

parallelogram
(iii)

square
(iv)

rhombus

Question 7

7.

In the adjoining figure,
ABCD
is a rhombus whose diagonals intersect at
O
.

(i)

O

=

88°

,

A

=

32°

,

B

=

60°
(ii)

O

=

90°

,

A

=

28°

,

B

=

62°
(iii)

O

=

92°

,

A

=

30°

,

B

=

58°
(iv)

O

=

88°

,

A

=

30°

,

B

=

62°
(v)

O

=

90°

,

A

=

30°

,

B

=

60°

Question 8

8.

(i)

∠RSQ
(ii)

∠OSR
(iii)

∠SQP
(iv)

∠SQR
(v)

∠ROS

Question 9

9.

Identify the figure below

(i)

trapezium
(ii)

quadrilateral
(iii)

square
(iv)

rectangle
(v)

circle

Question 10

10.

(i)

LI
(ii)

JL
(iii)

JK
(iv)

KL

Question 11

11.

(i)

△SQP
(ii)

△TRQ
(iii)

△TQP
(iv)

△TSP
(v)

△SQR

Question 12

12.

(i)

FC
(ii)

DF
(iii)

CD
(iv)

EF

Question 13

13.

Which of the following properties apply for a rhombus ?

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

(i)

{b,d,e}
(ii)

{b,f,g}
(iii)

{d,c}
(iv)

{b,a}
(v)

{a,c,e,f,g}

Question 14

14.

(i)

QR
(ii)

PR
(iii)

QS
(iv)

RS
(v)

SP

Question 15

15.

(i)

∠KLM
(ii)

∠MLI
(iii)

∠MJK
(iv)

∠LMK

Question 16

16.

The adjacent angles of the quadrilateral are

(i)

∠N & ∠P , ∠P & ∠O , ∠O & ∠Q , ∠Q & ∠N
(ii)

∠N & ∠P , ∠P & ∠Q , ∠Q & ∠O , ∠O & ∠N
(iii)

∠N & ∠O , ∠O & ∠P , ∠P & ∠R , ∠R & ∠N
(iv)

∠N & ∠O , ∠O & ∠P , ∠P & ∠Q , ∠Q & ∠N
(v)

∠N & ∠O , ∠O & ∠Q , ∠Q & ∠R , ∠R & ∠N

Question 17

17.

(i)

∠PQT
(ii)

∠QRS
(iii)

∠RSP
(iv)

∠PQR

Question 18

18.

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

(i)

88°
(ii)

89°
(iii)

92°
(iv)

91°
(v)

90°

Question 19

19.

The name of the quadrilateral is

(i)

HIJK
(ii)

HIJL
(iii)

HJIK
(iv)

HIKL
(v)

HJKI

Question 20

20.

Name all quadrilaterals whose opposite sides are equal

(i)

square,rhombus
(ii)

parallelogram,square,rhombus,rectangle
(iii)

square,rectangle
(iv)

rectangle,rhombus
(v)

square,parallelogram

Question 21

21.

In the adjoining figure, ABCD is a square. A line segment DF cuts the side BC at F and the diagonal AC at E such that ∠DEC = 96.6° and ∠EFC = x°. Find the value of x .