ICSE Board Practice

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ICSE Grade X - Similarity of Triangles

Question 1

1.	In the given figure, △DEF is isosceles right-angled at E and EG ⟂ FD. ∠DEG ≠
	∠FGE ∠GDE ∠EFG ∠GEF ∠FDE

Question 2

2.	In the given figure, △CDE is isosceles right-angled at D and DF ⟂ EC. ∠F =
	∠H ∠C ∠D ∠G ∠E

Question 3

3.	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
	1 3 of area of △EFG 1 2 of area of △EFG 1 4 of area of △EFG 2 3 of area of △EFG 3 4 of area of △EFG

Question 4

4.	In the given figure, BD is the angular bisector of ∠B & ∠D AB = 20 cm , BC = 20 cm and CD = 18 cm . Find DA
	19.00 cm 18.00 cm 20.00 cm 17.00 cm 16.00 cm

Question 5

5.	GHIJ is a cyclic trapezium. Diagonals HJ and GI intersect at K. If JG = 17 cm, find HI
	17 cm 15 cm 19 cm 18 cm 16 cm

Question 6

6.	In the given figure, △GHI and △STU are such that ∠H = ∠T   and   ∠I = ∠U . Identify the property by which the two triangles are similar
	SSS Similarity SAS Similarity AAA Similarity not similar

Question 7

7.	In the given figure, the parallelogram BCDE and the triangle △FBC are on the same bases and between the same parallels. The area of the △FBC is x sq.cm. The area of the parallelogram is
	5 4 the area of the triangle 4 3 the area of the triangle 3 2 the area of the triangle thrice the area of the triangle twice the area of the triangle

Question 8

8.	In the given figure, ∠EFH = 43.15°, find the value of x =
	45.85° 48.85° 46.85° 47.85° 44.85°

Question 9

9.	In the given figure, given ∠IFG = ∠HFI, x : y = 9.68 cm : 10.32 cm and q = 16 cm, find p =
	13.00 cm 17.00 cm 14.00 cm 15.00 cm 16.00 cm

Question 10

10.	In the given figure, given ∠GDE = ∠FDG, p = 8.14 cm, q = 6.86 cm and EF = 15 cm, find EG =
	6.14 cm 8.14 cm 7.14 cm 10.14 cm 9.14 cm

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