Multiple Choice Questions - Set - 6
Question 1:
If the ratio of the perimeters of two similar triangles is 4 : 25, then the ratio of the areas of the similar triangles is
(a) 16 : 625
(b) 2 : 5
(c) 5 : 2
(d) 625 : 16
Correct Answer – (A)
Question 2 :
In the given figure ΔABC ~ ΔPQR. The value of x is
(a) 2.5 cm
(b) 3.5 cm
(c) 2.75 cm
(d) 3 cm
Correct Answer – (D)
Question 3 :
The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals
(a) 6 cm
(b) 10 cm
(c) 15 cm
(d) 24 cm
Correct Answer – (C)
Question 4 :
Question 7.
In ΔABC, AB = 6 cm and DE || BC such that AE = 14 AC then the length of AD is
(a) 2 cm
(b) 1.2 cm
(c) 1.5 cm
(d) 4 cm
Correct Answer – (C)
Question 5 :
In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is:
(a) 18
(b) 16
(c) 19
(d) 12
Correct Answer – (C)
Question 6 :
In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is
(a) 3
(b) 4
(c) 5
(d) 3.5
Correct Answer – (B)
Question 7 :
ΔABC ~ ΔDEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of ΔDEF is
(a) 10 cm
(b) 14 cm
(c) 30 cm
(d) 25 cm
Correct Answer – (C)
Question 8 :
In the given figure, value of x(in cm) is
(a) 4
(b) 5
(c) 6
(d) 8
Correct Answer – (B)
Question 9 :
ΔABC and ΔBDE are two equilateral triangles such that D is the mid point of BC. Ratio of the areas of triangle ΔABC and ΔBDE is.
(a) 2 : 1
(b) 1 : 2
(c) 4 : 1
(d) 1 : 4
Correct Answer – (C)
Question 10 :
If ΔABC is similar to ΔDEF such that 2 AB = DE and BC = 8 cm then EF is equal to.
(a) 12 cm
(b) 4 cm
(c) 16 cm
(d) 8 c
Correct Answer – (C)
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.1
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.2
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.3
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.4
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.5
- NCERT Solutions Class 10 Mathematics Triangles : Exercise 6.6
