EduSahara™ Worksheet

Question 1

1.

The sides of the square are

(i)

KL

,

LM

,

MO

,

OK
(ii)

KL

,

LN

,

NO

,

OK
(iii)

KL

,

LM

,

MN

,

NK
(iv)

KM

,

MN

,

NL

,

LK
(v)

KM

,

ML

,

LN

,

NK

Question 2

2.

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

(i)

x

=

60.11°

,

y

=

33.89°
(ii)

x

=

59.11°

,

y

=

32.89°
(iii)

x

=

56.11°

,

y

=

29.89°
(iv)

x

=

57.11°

,

y

=

30.89°
(v)

x

=

58.11°

,

y

=

31.89°

Question 3

3.

(i)

∠LNK
(ii)

∠MJK
(iii)

∠JNM
(iv)

∠MNL

Question 4

4.

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

(i)

rectangle
(ii)

square
(iii)

rhombus
(iv)

parallelogram

Question 5

5.

The sides of the rhombus are

(i)

OP

,

PQ

,

QS

,

SO
(ii)

OQ

,

QP

,

PR

,

RO
(iii)

OQ

,

QR

,

RP

,

PO
(iv)

OP

,

PR

,

RS

,

SO
(v)

OP

,

PQ

,

QR

,

RO

Question 6

6.

The opposite sides of the kite are

(i)

CD

&

EG

,

DE

&

GC
(ii)

CD

&

EF

,

DE

&

FC
(iii)

CD

&

FG

,

DF

&

GC
(iv)

CE

&

FD

,

EF

&

DC
(v)

CE

&

DF

,

ED

&

FC

Question 7

7.

(i)

△FDE
(ii)

△GDC
(iii)

△GEF
(iv)

△GFC
(v)

△FDC

Question 8

8.

(i)

∠OLM
(ii)

∠NOP
(iii)

∠LMN
(iv)

∠NOL
(v)

∠LMP

Question 9

9.

If ABCD is an isosceles trapezium, ∠A =

(i)

90°
(ii)

∠D
(iii)

∠B
(iv)

∠C

Question 10

10.

The adjacent angles of the rectangle are

(i)

∠K & ∠M , ∠M & ∠N , ∠N & ∠L , ∠L & ∠K
(ii)

∠K & ∠L , ∠L & ∠M , ∠M & ∠O , ∠O & ∠K
(iii)

∠K & ∠M , ∠M & ∠L , ∠L & ∠N , ∠N & ∠K
(iv)

∠K & ∠L , ∠L & ∠N , ∠N & ∠O , ∠O & ∠K
(v)

∠K & ∠L , ∠L & ∠M , ∠M & ∠N , ∠N & ∠K

Question 11

11.

(i)

△IJK
(ii)

△JGH
(iii)

△GHI
(iv)

△HIJ
(v)

△GHK

Question 12

12.

In the given figure,
EFGH
is a rectangle whose diagonals intersect at
I
.

(i)

I

=

96.16°

,

G

=

42.92°

,

H

=

40.92°
(ii)

I

=

100.16°

,

G

=

40.92°

,

H

=

38.92°
(iii)

I

=

98.16°

,

G

=

38.92°

,

H

=

42.92°
(iv)

I

=

96.16°

,

G

=

40.92°

,

H

=

42.92°
(v)

I

=

98.16°

,

G

=

40.92°

,

H

=

40.92°

Question 13

13.

In the adjoining figure, side EF of parallelogram CDEF has been produced to G. If ∠DEG = 123.13° , find the measure of each angle of the parallelogram.

(i)

C

=

56.87°

,

D

=

123.13°

,

E

=

56.87°

,

F

=

123.13°
(ii)

C

=

58.87°

,

D

=

122.13°

,

E

=

54.87°

,

F

=

124.13°
(iii)

C

=

57.87°

,

D

=

122.13°

,

E

=

58.87°

,

F

=

121.13°
(iv)

C

=

54.87°

,

D

=

125.13°

,

E

=

55.87°

,

F

=

124.13°
(v)

C

=

55.87°

,

D

=

121.13°

,

E

=

57.87°

,

F

=

125.13°

Question 14

14.

The angles of a quadrilateral ABCD are in the ratio 6 : 35 : 34 : 45. Find the measure of each angle of the quadrilateral.

(i)

A

=

17°

,

B

=

103°

,

C

=

103°

,

D

=

137°
(ii)

A

=

19°

,

B

=

104°

,

C

=

104°

,

D

=

133°
(iii)

A

=

16°

,

B

=

107°

,

C

=

101°

,

D

=

136°
(iv)

A

=

20°

,

B

=

104°

,

C

=

100°

,

D

=

136°
(v)

A

=

18°

,

B

=

105°

,

C

=

102°

,

D

=

135°

Question 15

15.

Identify the figure below

(i)

angle
(ii)

rectangle
(iii)

parallelogram
(iv)

triangle
(v)

trapezium

Question 16

16.

Which of the following properties apply for a kite ?

(i)

All Adjacent sides are equal
(ii)

Opposite angles are parallel
(iii)

Diagonals are equal
(iv)

Diagonals are perpendicular
(v)

Adjacent angles are equal

Question 17

17.

The opposite angles of the rhombus are

(i)

∠F & ∠H , ∠G & ∠J
(ii)

∠F & ∠H , ∠G & ∠I
(iii)

∠F & ∠I , ∠G & ∠J
(iv)

∠F & ∠G , ∠H & ∠I
(v)

∠F & ∠I , ∠H & ∠G

Question 18

18.

(i)

△EFC
(ii)

△FCD
(iii)

△CDE
(iv)

△EFG
(v)

△CDG

Question 19

19.

In the given figure, IJKL is a rhombus such that ∠J = 120°. Then △IJL is

(i)

Right angled triangle
(ii)

Equilateral triangle
(iii)

Isosceles triangle
(iv)

Obtuse angled triangle

Question 20

20.

Two adjacent angles of a parallelogram are in the ratio
6 : 30
.

Find the measure of each of its angles.

(i)

A

=

32°

,

B

=

149°

,

C

=

28°

,

D

=

151°
(ii)

A

=

28°

,

B

=

152°

,

C

=

29°

,

D

=

151°
(iii)

A

=

29°

,

B

=

148°

,

C

=

31°

,

D

=

152°
(iv)

A

=

30°

,

B

=

150°

,

C

=

30°

,

D

=

150°
(v)

A

=

31°

,

B

=

149°

,

C

=

32°

,

D

=

148°

Question 21

21.

The adjacent sides of the rhombus are

(i)

JK

&

KL

,

KL

&

LN

,

LN

&

NJ

,

NJ

&

JK

(ii)

JK

&

KL

,

KL

&

LM

,

LM

&

MJ

,

MJ

&

JK

(iii)

JL

&

LM

,

LM

&

MK

,

MK

&

KJ

,

KJ

&

JL

(iv)

JK

&

KM

,

KM

&

MN

,

MN

&

NJ

,

NJ

&

JK

(v)

JL

&

LK

,

LK

&

KM

,

KM

&

MJ

,

MJ

&

JL

Question 22

22.

LMNO is a rhombus in which ∠L = 105° .

MO

is the diagonal. Then △LMN is

(i)

an obtuse angled triangle
(ii)

None of these
(iii)

a scalene triangle
(iv)

an equilateral triangle
(v)

an isosceles triangle

Question 23

23.

Two adjacent angles of a parallelogram EFGH are in the ratio 16 : 44. Find the measure of each of its angles.

(i)

E

=

47°

,

F

=

130°

,

G

=

49°

,

H

=

134°
(ii)

E

=

49°

,

F

=

131°

,

G

=

50°

,

H

=

130°
(iii)

E

=

46°

,

F

=

134°

,

G

=

47°

,

H

=

133°
(iv)

E

=

48°

,

F

=

132°

,

G

=

48°

,

H

=

132°
(v)

E

=

50°

,

F

=

131°

,

G

=

46°

,

H

=

133°

Question 24

24.

(i)

IJ
(ii)

IF
(iii)

HJ
(iv)

GJ

Question 25

25.

The adjacent sides of the kite are

(i)

JK

&

KM

,

KM

&

MN

,

MN

&

NJ

,

NJ

&

JK

(ii)

JK

&

KL

,

KL

&

LM

,

LM

&

MJ

,

MJ

&

JK

(iii)

JL

&

LM

,

LM

&

MK

,

MK

&

KJ

,

KJ

&

JL

(iv)

JK

&

KL

,

KL

&

LN

,

LN

&

NJ

,

NJ

&

JK

(v)

JL

&

LK

,

LK

&

KM

,

KM

&

MJ

,

MJ

&

JL

Assignment Key