EduSahara™ Worksheet

Question 1

1.

In the given figure, CDEF is a trapezium where OD = 13 cm , OE = 4 cm and OF = 4 cm . Find OC =

(i)

15 cm
(ii)

12 cm
(iii)

14 cm
(iv)

13 cm
(v)

11 cm

Question 2

2.

In the given figure, △NOP is isosceles right-angled at O and OQ ⟂ PN. ∠NOP =

(i)

∠QOP
(ii)

∠QNO
(iii)

∠NOQ
(iv)

∠PQO
(v)

∠OPQ

Question 3

3.

In the given figure, △EFG and △UVW are such that

Identify the property by which the two triangles are similar

(i)

not similar
(ii)

SSS Similarity
(iii)

AAA Similarity
(iv)

SAS Similarity

Question 4

4.

In the given figure, if GH ∥ IJ then

(i)

△KHG ∼ △KJI
(ii)

△GHK ∼ △KIJ
(iii)

△GHK ∼ △KJI
(iv)

△KGH ∼ △KIJ
(v)

△GHK ∼ △JIK

Question 5

5.

In the given figure, △EFG ∼ △QRS and EF = 13 cm, QR = 18.2 cm.

(i)

71.31 sq.cm
(ii)

73.31 sq.cm
(iii)

72.31 sq.cm
(iv)

70.31 sq.cm
(v)

74.31 sq.cm

Question 6

6.

Identify the property by which the two given triangles are similar

(i)

SSS Similarity
(ii)

AAA Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 7

7.

In the given figure, BCDE is a trapezium in which

EF
=
(

2

x

+

29

)
cm, find the value of x

(i)

(

40

,

40

)
(ii)

(

38

,

38

)
(iii)

(

38

,

37

)
(iv)

(

40

,

38

)
(v)

(

39

,

39

)

Question 8

8.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

△ABH ∼

(i)

△ACF
(ii)

△FDA
(iii)

△DAE
(iv)

△DCF
(v)

△FEH

Question 9

9.

In the given figure, PQ ∥ JK , and median IL bisects PQ.
△IPM ∼

(i)

△IMQ
(ii)

△JKI
(iii)

△IJK
(iv)

△ILK
(v)

△IJL

Question 10

10.

In the given figure, the area of the △HIJ is x sq.cm. K,L,M are the mid-points of the sides IJ , JH and HI respectively. The area of the △KLM is

(i)
1
3

of area of △HIJ
(ii)
2
3

of area of △HIJ
(iii)
1
2

of area of △HIJ
(iv)
1
4

of area of △HIJ
(v)
3
4

of area of △HIJ

Question 11

11.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠EHF =

(i)

∠HFE
(ii)

∠DAF
(iii)

∠BHA
(iv)

∠AFD
(v)

∠CFA

Question 12

12.

In the given figure, ∠GHJ = 53.13°, find the value of x =

(i)

38.87°
(ii)

34.87°
(iii)

36.87°
(iv)

37.87°
(v)

35.87°

Question 13

13.

(i)

5.56 cm
(ii)

4.56 cm
(iii)

8.56 cm
(iv)

7.56 cm
(v)

6.56 cm

Question 14

14.

In the given figure, KM is the angular bisector of
∠K
&
∠M

(i)

23.00 cm
(ii)

24.00 cm
(iii)

27.00 cm
(iv)

26.00 cm
(v)

25.00 cm

Question 15

15.

In the given figure, three lines l , m and n are such that l ∥ m ∥ n.

Two transversals PQ and RS intersect them at the points A , B , C and D , E , F respectively.

∠FAC =

(i)

∠AFD
(ii)

∠HAB
(iii)

∠FDA
(iv)

∠HFE
(v)

∠FEH

Question 16

16.

In the given figure, △CDE, PQ ∥ DE such that

(i)

1
(ii)

1
2

√

5
(iii)

1
2

√

2
(iv)

1
2

4
√

2
(v)

1
2

√

-1

Question 17

17.

In the given figure, △IJK is right-angled at J. Also, JL ⟂ IK. Which of the following are true?

a)

JK

2
=
KI
.
KL

b)

IJ

2
=
IK
.
IL

c)

IJ

2
=
KI
.
KL

d)

JL

2
=
IL
.
LK

e)

JK

2
=
IK
.
IL

(i)

{c,a}
(ii)

{c,e,d}
(iii)

{e,b}
(iv)

{c,a,b}
(v)

{a,b,d}

Question 18

18.

CDEF is a square and △CDG is an equilateral triangle. Also, △CEH is an equilateral triangle. If area of △CDG is 'a' sq.units, then the area of △CEH is

(i)
1
2

√

3

a sq.units
(ii)
2a sq.units
(iii)
1
2

a sq.units
(iv)
√

3

a sq.units
(v)
a

2

sq.units

Question 19

19.

In the given figure, the altitudes OE and FP of △DEF meet at N. △NPO ∼

(i)

△OFE
(ii)

△OFN
(iii)

△NEF
(iv)

△PEN
(v)

△PEF

Question 20

20.

In the given figure, ∠MJK = ∠LJM and JM ∥ NL and JK = 16 cm, KM = 8 cm and ML = 10 cm. Find JN

(i)

20.00 cm
(ii)

18.00 cm
(iii)

19.00 cm
(iv)

22.00 cm
(v)

21.00 cm

Question 21

21.

In the given figure, ∠DBC = 36.87°, find the value of y =

(i)

54.13°
(ii)

55.13°
(iii)

53.13°
(iv)

51.13°
(v)

52.13°

Question 22

22.

From the given figure and values, find x

(i)

(

-9

,

33

)
(ii)

(

-10

,

32

)
(iii)

(

-7

,

32

)
(iv)

(

34

,

-8

)
(v)

(

-10

,

31

)

Question 23

23.

In the given figure,
EF
∥
CD
.

(i)

9.70 cm
(ii)

10.70 cm
(iii)

7.70 cm
(iv)

8.70 cm
(v)

6.70 cm

Question 24

24.

In the given figure, I is a point on side GH of △FGH such that ∠HFG = ∠FIH = 104° , ∠IHF = 21°. Find ∠HFI

(i)

53°
(ii)

55°
(iii)

56°
(iv)

54°
(v)

57°

Question 25

25.

In the given figure, PQ ∥ DE , and median CF bisects PQ.

If CE = 20 cm, CG = 11.13 cm and CQ = 13.33 cm, CF =

(i)

18.70 cm
(ii)

17.70 cm
(iii)

14.70 cm
(iv)

15.70 cm
(v)

16.70 cm

Assignment Key