X maths:Similar triangle:Objective Questions

10Th Mathematics      JSUNIL TUTORIAL,SAMASTIPUR

1. The lengths of the diagonals of a rhombus are 24 cm and 32 cm. The perimeter of the rhombus is : 

(a) 9 cm 

(b) 128 cm

(c) 80 cm 

(d) 56 cm

2. Which of the following cannot be the sides of a right triangle ? 

(a) 9 cm, 15 cm, 12 cm

(b) 2 cm, 1 cm, 5 cm

(c)400 mm, 300 mm, 500 mm

(d)9 cm, 5 cm, 7 cm

3. ΔABC ~ ΔPQR, M is the mid-point of BC and N is the mid point of QR. If the area of ΔABC = 100 sq. cm, the area of ΔPQR = 144 sq. cm and AM = 4 cm, then PN is : 

(a)4.8 cm 

(b) 12 cm 

(c) 4 cm 

(d) 5.6 cm

4. ΔABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. If ΔDEF ~ ΔABC and EF = 4 cm, then perimeter of ΔDEF is : 

(a)15 cm 

(b) 22.5 cm 

(c) 7.5 cm 

(d) 30 cm

5. A vertical stick 30 m long casts a shadow 15 m long on the ground. At the same time, a tower casts a shadow 75 m long on the ground. The height of the tower is : 

(a)150 m 

(b) 100 m

(c) 25 m 

(d) 200 m

6. ΔABC ~ ΔPQR. If ar(ABC) = 2.25 m2, ar (PQR) = 6.25 m2 , PQ = 0.5 m, then length of AB is :

(a)30 cm 

(b) 0.5 m

(c) 50 m

(d) 3 m

7.ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

(a) 83° 

(b) 32° 

(c) 65° 

(d) 97°

8. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 4 cm, BC = 9 cm and DE || BC. Then, length of DE (in cm) is :

(a)6 

(b) 5 

(c) 3 

(d) 2.5

9. The areas of two similar triangles ABC and PQR are 25 cm2 and 49 cm2 respectively. If QR = 9.8 cm, then BC is : [2010 (T-I)]

(a)9.8 cm 

(b) 7 cm 

(c) 49 cm 

(d) 25 cm

10. If the ratio of the corresponding sides of two similar triangles is 2 : 3, then the ratio of their corresponding altitude is : 

(a)3 : 2 

(b) 16 : 81 

(c) 4 : 9 

(d) 2 : 3