EduSahara™ Worksheet

Question 1

1.

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

Identify the property by which the two triangles are similar

(i)

AAA Similarity
(ii)

SAS Similarity
(iii)

not similar
(iv)

SSS Similarity

Question 2

2.

In the given △MNO, PQ ∥ NO. If MP : PN = 5.67 cm : 11.33 cm and MO = 15 cm, MQ =

(i)

3.00 cm
(ii)

5.00 cm
(iii)

7.00 cm
(iv)

6.00 cm
(v)

4.00 cm

Question 3

3.

In the given figure, points F , G and H are the mid-points of sides DE, EC and CD of △CDE. Which of the following are true?

a)	△FGH ∼ △CDE
b)	△HDF ∼ △CDE
c)	△GFE ∼ △CDE
d)	△FHG ∼ △CDE
e)	△CHG ∼ △CDE

(i)

{d,c}
(ii)

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

{d,b}
(iv)

{d,e,a}
(v)

{d,a}

Question 4

4.

ABCD is a cyclic trapezium. Diagonals BD and AC intersect at E. If DA = 6 cm, find BC

(i)

8 cm
(ii)

5 cm
(iii)

7 cm
(iv)

4 cm
(v)

6 cm

Question 5

5.

Identify the property by which the two given triangles are similar

(i)

SAS Similarity
(ii)

AAA Similarity
(iii)

SSS Similarity
(iv)

not similar

Question 6

6.

In the given figure, G is a point on side EF of △DEF such that ∠FDE = ∠DGF = 104° , ∠GFD = 28°. Find ∠FDG

(i)

50°
(ii)

49°
(iii)

47°
(iv)

48°
(v)

46°

Question 7

7.

The perimeters of two similar triangles are 33 cm and 22 cm respectively. If one side of the first triangle is 16 cm, find the length of the corresponding side of the second triangle.

(i)

9.67 cm
(ii)

11.67 cm
(iii)

12.67 cm
(iv)

10.67 cm
(v)

8.67 cm

Question 8

8.

In the given figure, △BCD is right-angled at C. Also, CE ⟂ BD. If ED = 11 cm, CE = 11.63 cm, then find BE.

(i)

13.30 cm
(ii)

11.30 cm
(iii)

10.30 cm
(iv)

12.30 cm
(v)

14.30 cm

Question 9

9.

In the given figure, given ∠HEF = ∠GEH, x : y = 9.24 cm : 9.76 cm and q = 19 cm, find p =

(i)

20.00 cm
(ii)

19.00 cm
(iii)

16.00 cm
(iv)

18.00 cm
(v)

17.00 cm

Question 10

10.

In the given figure, the altitudes NF and GO of △EFG meet at M. ∠GNM =

(i)

∠OFM
(ii)

∠NMG
(iii)

∠MGN
(iv)

∠FMO
(v)

∠MOF

Question 11

11.

Identify the property by which the two given triangles are similar

(i)

SAS Similarity
(ii)

not similar
(iii)

SSS Similarity
(iv)

AAA Similarity

Question 12

12.

In the given figure, △HIJ is right-angled at I. Also, IK ⟂ HJ. If HI = 16 cm, IK = 10.94 cm, then find IJ.

(i)

16.00 cm
(ii)

15.00 cm
(iii)

17.00 cm
(iv)

14.00 cm
(v)

13.00 cm

Question 13

13.

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.

∠CFA =

(i)

∠BHA
(ii)

∠HFE
(iii)

∠EHF
(iv)

∠DAF
(v)

∠AFD

Question 14

14.

In the given figure, JKLM is a trapezium in which

(i)

△NLM
(ii)

△MJK
(iii)

△NKL
(iv)

△NMJ
(v)

△KLM

Question 15

15.

In the given figure, PQ ∥ CD , and median BE bisects PQ.

If BE = 14.6 cm, BD = 20 cm and BF = 7.3 cm, QD =

(i)

10.00 cm
(ii)

12.00 cm
(iii)

8.00 cm
(iv)

11.00 cm
(v)

9.00 cm

Question 16

16.

In the given figure, the area of the △EFG is x sq.cm. H,I,J are the mid-points of the sides FG , GE and EF respectively. The area of the △HIJ is

(i)
2
3

of area of △EFG
(ii)
1
3

of area of △EFG
(iii)
1
4

of area of △EFG
(iv)
3
4

of area of △EFG
(v)
1
2

of area of △EFG

Question 17

17.

In the given figure, ∠DBC = 46.62°, find the value of y =

(i)

43.38°
(ii)

45.38°
(iii)

41.38°
(iv)

42.38°
(v)

44.38°

Question 18

18.

GHIJ is a square and △GHK is an equilateral triangle. Also, △GIL is an equilateral triangle. If area of △GHK is 'a' sq.units, then the area of △GIL is