EduSahara™ Worksheet

Question 1

1.

In the given figure, BCDE is a trapezium in which

EF
=
(

2

x

+

5

)
cm, find the value of x

(i)

(

26

,

23

)
(ii)

(

25

,

25

)
(iii)

(

23

,

22

)
(iv)

(

24

,

24

)
(v)

(

23

,

23

)

Question 2

2.

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

(i)

53.13°
(ii)

54.13°
(iii)

52.13°
(iv)

51.13°
(v)

55.13°

Question 3

3.

In the given figure, RS ∥ IJ , and median HK bisects RS.

If HI = 17 cm, HK = 17.1 cm and HL = 7.6 cm, HR =

(i)

5.56 cm
(ii)

9.56 cm
(iii)

8.56 cm
(iv)

6.56 cm
(v)

7.56 cm

Question 4

4.

In the given figure, QR ∥ HI , and median GJ bisects QR.

If GJ = 17.1 cm, GI = 18 cm and GK = 6.41 cm, RI =

(i)

11.25 cm
(ii)

9.25 cm
(iii)

10.25 cm
(iv)

13.25 cm
(v)

12.25 cm

Question 5

5.

In the given figure, △KLM is isosceles right-angled at L and LN ⟂ MK. ∠M =

(i)

∠O
(ii)

∠N
(iii)

∠K
(iv)

∠P
(v)

∠L

Question 6

6.

In the given figure, △HIJ is right-angled at I. Also, IK ⟂ HJ. Which of the following are true?

a)

HI

2
=
JH
.
JK

b)

IK

2
=
HK
.
KJ

c)

HI

2
=
HJ
.
HK

d)

IJ

2
=
HJ
.
HK

e)

IJ

2
=
JH
.
JK

(i)

{d,c}
(ii)

{b,c,e}
(iii)

{a,d,e}
(iv)

{a,b}
(v)

{a,b,c}

Question 7

7.

In the given figure, points J , K and L are the mid-points of sides HI, IG and GH of △GHI. Which of the following are true?

a)	△JKL ∼ △GHI
b)	△KJI ∼ △GHI
c)	△GLK ∼ △GHI
d)	△LHJ ∼ △GHI
e)	△JLK ∼ △GHI

(i)

{e,d,a}
(ii)

{e,b}
(iii)

{a,b,c,d}
(iv)

{e,c}
(v)

{e,a}

Question 8

8.

In the given figure, △DEF is right-angled at E. Also, EG ⟂ DF. If DE = 17 cm, EF = 16 cm, then find EG.

(i)

9.65 cm
(ii)

13.65 cm
(iii)

11.65 cm
(iv)

12.65 cm
(v)

10.65 cm

Question 9

9.

In the given figure, points D , E and F are the mid-points of sides BC, CA and AB of △ABC. Which of the following are true?

a)

Area of trapezium BCEF is thrice the area of △AFE

b)

c)

All four small triangles have equal areas

d)

e)

Area of △ABC = 4 times area of △DEF

(i)

{b,a,c}
(ii)

{d,c}
(iii)

{b,a}
(iv)

{a,c,e}
(v)

{b,d,e}

Question 10

10.

In the given △OPQ, RS ∥ PQ. If OR : RP = 10.29 cm : 7.71 cm and OQ = 19 cm, OS =

(i)

11.86 cm
(ii)

10.86 cm
(iii)

8.86 cm
(iv)

9.86 cm
(v)

12.86 cm

Question 11

11.

FGHI is a square and △FGJ is an equilateral triangle. Also, △FHK is an equilateral triangle. If area of △FGJ is 'a' sq.units, then the area of △FHK is

(i)
√

3

a sq.units
(ii)
a

2

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

√

3

a sq.units
(v)
1
2

a sq.units

Question 12

12.

In the given figure, △BCD and △STU are such that

Identify the property by which the two triangles are similar

(i)

SAS Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

AAA Similarity

Question 13

13.

In the given figure, given ∠GDE = ∠FDG, p = 7.79 cm, q = 8.21 cm and EF = 16 cm, find GF =

(i)

8.21 cm
(ii)

7.21 cm
(iii)

6.21 cm
(iv)

10.21 cm
(v)

9.21 cm

Question 14

14.

If the measures are as shown in the given figure, find HI

(i)

21.0 cm
(ii)

20.0 cm
(iii)

22.0 cm
(iv)

23.0 cm
(v)

19.0 cm

Question 15

15.

In the given figure, △CDE ∼ △OPQ and CD = 13 cm, OP = 18.2 cm.

(i)

106.75 sq.cm
(ii)

105.75 sq.cm
(iii)

104.75 sq.cm
(iv)

102.75 sq.cm
(v)

103.75 sq.cm

Question 16

16.

In the given figure,
PQ
∥
NO
.

(i)

8.12 cm
(ii)

7.12 cm
(iii)

9.12 cm
(iv)

11.12 cm
(v)

10.12 cm

Question 17

17.

In the given figure, the parallelogram EFGH and the triangle △IEF are on the same bases and between the same parallels.

The area of the
△IEF
is x sq.cm. The area of the parallelogram is

(i)
3
2

the area of the triangle
(ii)
4
3

the area of the triangle
(iii)
5
4

the area of the triangle
(iv)
twice

the area of the triangle
(v)
thrice

the area of the triangle

Question 18

18.

(i)

5.24 cm
(ii)

6.24 cm
(iii)

4.24 cm
(iv)

7.24 cm
(v)

8.24 cm

Question 19

19.

In the given figure, the altitudes OE and FP of △DEF meet at N. ∠NFO =

(i)

∠ONF
(ii)

∠NPE
(iii)

∠FON
(iv)

∠PEN
(v)

∠ENP

Question 20

20.

Identify the property by which the two given triangles are similar

(i)

AAA Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 21

21.

Identify the property by which the two given triangles are similar

(i)

not similar
(ii)

SAS Similarity
(iii)

SSS Similarity
(iv)

AAA Similarity

Question 22

22.

In the given figure, △FGH is right-angled at G. Also, GI ⟂ FH. If IH = 12.1 cm, GI = 13.38 cm, then find FI.

(i)

12.80 cm
(ii)

15.80 cm
(iii)

13.80 cm
(iv)

16.80 cm
(v)

14.80 cm

Question 23

23.

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.

∠BHA =

(i)

∠AFD
(ii)

∠DAF
(iii)

∠HFE
(iv)

∠CFA
(v)

∠EHF

Question 24

24.

In the given figure, ∠FCD = ∠ECF and CF ∥ GE and CD = 15 cm, DF = 9 cm and FE = 11 cm. Find CG

(i)

18.33 cm
(ii)

19.33 cm
(iii)

20.33 cm
(iv)

17.33 cm
(v)

16.33 cm

Question 25

25.

In the given figure, △ABC is a triangle in which AD is the internal bisector of ∠A and CE ∥ DA meeting BA produced at E . ∠CAD =

(i)

∠DAB
(ii)

∠BDA
(iii)

∠EAC
(iv)

∠ADC
(v)

∠DCA

Assignment Key