EduSahara™ Worksheet

Question 1

1.

In the given figure, △DEF is isosceles right-angled at E and EG ⟂ FD. ∠DEF =

(i)

∠GDE
(ii)

∠EFG
(iii)

∠GEF
(iv)

∠DEG
(v)

∠EGD

Question 2

2.

From the given figure and values, find x

(i)

(

22

,

0

)
(ii)

(

24

,

-1

)
(iii)

(

21

,

-1

)
(iv)

(

1

,

23

)
(v)

(

21

,

-2

)

Question 3

3.

In the given figure, △FGH and △QRS are such that

Identify the property by which the two triangles are similar

(i)

not similar
(ii)

SAS Similarity
(iii)

AAA Similarity
(iv)

SSS Similarity

Question 4

4.

In the given figure, the altitudes MJ and KN of △IJK meet at L. ∠KLJ =

(i)

∠JKL
(ii)

∠LJK
(iii)

∠MNL
(iv)

∠NLM
(v)

∠LMN

Question 5

5.

A vertical stick
11 m
long casts a shadow of
14 m
long on the ground.

At the same time, a tower casts the shadow
112 m
long on the ground.

Find the height of the tower.

(i)

89 m
(ii)

88 m
(iii)

90 m
(iv)

87 m
(v)

86 m

Question 6

6.

The ratio of the bases of two triangles ABC and DEF is
9

:

10
.

If the triangles are equal in area, then the ratio of their heights is

(i)

9

:

7
(ii)

9

:

12
(iii)

10

:

10
(iv)

8

:

10
(v)

10

:

9

Question 7

7.

In the given figure, △ABC is right-angled at B. Also, BD ⟂ AC. If AD = 9.6 cm, DC = 13.8 cm, then find BD.

(i)

12.51 cm
(ii)

10.51 cm
(iii)

9.51 cm
(iv)

13.51 cm
(v)

11.51 cm

Question 8

8.

In the given figure, IJKL is a trapezium where OJ = 15 cm , OK = 5 cm and OL = 5 cm . Find OI =

(i)

17 cm
(ii)

14 cm
(iii)

13 cm
(iv)

16 cm
(v)

15 cm

Question 9

9.

Identify the property by which the two given triangles are similar

(i)

AAA Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 10

10.

The perimeters of two similar triangles are 32 cm and 24 cm respectively. If one side of the first triangle is 12 cm, find the length of the corresponding side of the second triangle.

(i)

7.00 cm
(ii)

10.00 cm
(iii)

11.00 cm
(iv)

9.00 cm
(v)

8.00 cm

Question 11

11.

In the given figure, GHIJ is a trapezium in which

JK
=
(

2

x

+

11

)
cm, find the value of x

(i)

(

-1

,

14

)
(ii)

(

0

,

15

)
(iii)

(

16

,

1

)
(iv)

(

1

,

14

)
(v)

(

-1

,

13

)

Question 12

12.

In the given figure, RS ∥ BC and AR = 12 cm, AB = 20 cm and BC = 23 cm, find RS

(i)

11.8 cm
(ii)

12.8 cm
(iii)

14.8 cm
(iv)

13.8 cm
(v)

15.8 cm

Question 13

13.

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

Identify the property by which the two triangles are similar

(i)

AAA Similarity
(ii)

SSS Similarity
(iii)

not similar
(iv)

SAS Similarity

Question 14

14.

In the given figure, △CDE ∼ △PQR and CD = 13 cm, PQ = 18.2 cm.

(i)

76.68 sq.cm
(ii)

77.68 sq.cm
(iii)

78.68 sq.cm
(iv)

75.68 sq.cm
(v)

74.68 sq.cm

Question 15

15.

In the given figure, if FG ∥ HI then

(i)

△FGJ ∼ △IHJ
(ii)

△JFG ∼ △JHI
(iii)

△FGJ ∼ △JIH
(iv)

△JGF ∼ △JIH
(v)

△FGJ ∼ △JHI

Question 16

16.

KLMN is a square and △KLO is an equilateral triangle. Also, △KMP is an equilateral triangle. If area of △KLO is 'a' sq.units, then the area of △KMP is

(i)
√

3

a sq.units
(ii)
1
2

a sq.units
(iii)
a

2

sq.units
(iv)
1
2

√

3

a sq.units
(v)
2a sq.units

Question 17

17.

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

(i)

23.0 cm
(ii)

25.0 cm
(iii)

24.0 cm
(iv)

22.0 cm
(v)

21.0 cm

Question 18

18.

In the given figure, points L , M and N are the mid-points of sides JK, KI and IJ of △IJK. Which of the following are true?

a)	△NJL ∼ △IJK
b)	△MLK ∼ △IJK
c)	△LMN ∼ △IJK
d)	△LNM ∼ △IJK
e)	△INM ∼ △IJK

(i)

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

{d,a}
(iii)

{d,c}
(iv)

{d,e,a}
(v)

{d,b}

Question 19

19.

In the given figure, △DEF, RS ∥ EF such that

(i)

1
2

4
√

2
(ii)

1
2

√

2
(iii)

1
2

√

-1
(iv)

1
(v)

1
2

√

4

Question 20

20.

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

(i)

38.87°
(ii)

36.87°
(iii)

37.87°
(iv)

34.87°
(v)

35.87°

Question 21

21.

In the given figure, RS ∥ BC , and median AD bisects RS.

If AD = 17.5 cm, AC = 20 cm and AE = 11.67 cm, SC =

(i)

8.67 cm
(ii)

4.67 cm
(iii)

5.67 cm
(iv)

6.67 cm
(v)

7.67 cm

Question 22

22.

In the given figure, points O , P and Q are the mid-points of sides MN, NL and LM of △LMN. Which of the following are true?

a)

Area of △LMN = 4 times area of △OPQ

b)

All four small triangles have equal areas

c)

d)

Area of trapezium MNPQ is thrice the area of △LQP

e)

(i)

{c,e,d}
(ii)

{c,a,b}
(iii)

{e,b}
(iv)

{c,a}
(v)

{a,b,d}

Question 23

23.

In the given figure,
NO
∥
LM
.

(i)

7.70 cm
(ii)

5.70 cm
(iii)

8.70 cm
(iv)

6.70 cm
(v)

4.70 cm

Question 24

24.

(i)

5.90 cm
(ii)

9.90 cm
(iii)

8.90 cm
(iv)

6.90 cm
(v)

7.90 cm

Question 25

25.

In the given figure, M and N are points on the sides JK and JL respectively of △JKL.For which of the following cases, MN ∥ KL

a)	JK = 20 cm, MK = 8 cm, JN = 14 cm and JL = 20 cm
b)	JM = 12 cm, MK = 8 cm, JN = 12 cm and NL = 8 cm
c)	JK = 20 cm, MK = 8 cm, JL = 20 cm and JN = 12 cm
d)	JK = 20 cm, JM = 14 cm, JL = 20 cm and NL = 8 cm

(i)

{d,c}
(ii)

{a,d,b}
(iii)

{a,c,b}
(iv)

{b,c}
(v)

{a,b}

Assignment Key