# MCQ Questions for Class 10 Maths Chapter 6 Triangles with Answers

Below you will find NCERT MCQ Questions for Class 10 Maths Chapter 6 Triangles with Answers which is very helpful during the preparation of examinations. These MCQ Online Test are one marks questions which will give you overview of the chapter in no time. One should try to understand Class 10 MCQ Questions as it is based on latest exam pattern released by CBSE.

Also, students can check NCERT Solutions for Class 10 Maths Chapter 6 for improving their marks and have good understanding of the chapter.

## Chapter 6 Triangles MCQ Questions for Class 10 Maths with Answers

1. Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.
(a) 1:2
(b) 1:1
(c) 1:3
(d) 2:1
Solution (b) 1:1

2. Given two triangles ABC and PQR such that, AB = 2 cm, PQ = 3cm, ∠B = ∠Q BC = 5 cm, QR = 7.5 cm. AG and PS are medians . Find AG/PS = ?​
(a) 2/5
(b) 1/5
(c) 4/5
(d) 2/3
Solution (d) 2/3

3. ABC and BDE are two equilateral triangles such that D is mid-point of BC. Ratio of the areas of triangles ABC and BDE is
(a) 2 : 1
(b) 1 : 4
(c) 1 : 2
(d) 4 : 1
Solution (d) 4 : 1

4. If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ , then
(a) Î”PQR ~ Î”CAB
(b) Î”PQR ~ Î”ABC
(c) Î”CBA ~ Î”PQR
(d) Î”BCA ~ Î”PQR
Solution (a) Î”PQR ~ Î”CAB

5. The ratio of the areas of two similar triangles is equal to the:
(a) square of the ratio of their corresponding sides
(b) the ratio of their corresponding sides
(c) square of the ratio of their corresponding angles
(d) None of the above
Solution (a) square of the ratio of their corresponding sides

6. In Î”LMN, ∠L = 50° and ∠N = 60°, If Î”LMN ~ Î”PQR, then find ∠Q
(a) 40°
(b) 50°
(c) 60°
(d) 70°
Solution (d) 70°

7. In triangles ABC and DEF, ∠B = ∠E, ∠F = ∠C and AB = 3DE. Then, the two triangles are
(a) Congruent but not similar
(b) Similar but not congruent
(c) Neither congruent nor similar
(d) Congruent as well as similar
Solution (b) Similar but not congruent

8. Triangles ABC, DEF are similar, ∠A = 75° , ∠B = 85° so ∠F = ?​
(a) 20°
(b) 30°
(c) 10°
(d) 35°
Solution (a) 20°

9. In two triangles ABC and PQR, given that ∠A = ∠R and ∠B = ∠Q, which of the following is true?​
(a) Î”ABC ~ Î”QRP
(b) Î”ABC ~ Î”PQR
(c) Î”ABC ~ Î”PRQ
(d) Î”ABC ~ Î”RQP
Solution (d) Î”ABC ~ Î”RQP

10. In triangle ABC ,DE || BC AD = 3 cm, DB = 8 cm AC = 22 cm. At what distance from A does the line DE cut AC?
(a) 6
(b) 4
(c) 10
(d) 5
Solution (a) 6

11. If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?
(a) 1 : 2
(b) 3 : 2
(c) 1 : 3
(d) 4 : 1
Solution (a) 1 : 2

12. AABC ~ APQR, ZB = 50° and C = 70° then ZP is equal to
(a) 40°
(b) 50°
(c) 60°
(d) 70°
Solution (c) 60°

13. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 3 cm, BD = 5 cm, BC = 12.8 cm and DE || BC. Then length of DE (in cm) is
(a) 4.8 cm
(b) 7.6 cm
(c) 19.2 cm
(d) 2.5 cm
Solution (a) 4.8 cm

14. Î”ABC ~ Î”DEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of Î”DEF is
(a) 10 cm
(b) 14 cm
(c) 25 cm
(d) 30 cm
Solution (d) 30 cm

15. If Î”ABC ~ Î”EDF and Î”ABC is not similar to Î”DEF, then which of the following is not true?
(a) BC . EF = AC . ED
(b) AB . EF = AC . DE
(c) BC . DE = AB . EF
(d) BC . DE = AB . FD
Solution (c) BC . DE = AB . EF

16. A square and a rhombus are always
(a) similar
(b) congruent
(c) similar but not congruent
(d) neither similar nor congruent
Solution (d) neither similar nor congruent

17. In Î”ABC, AB = 6 cm and DE || BC such that AE = 1/4 AC then the length of AD is
(a) 1.2 cm
(b) 1.5 cm
(c) 2 cm
(d) 4 cm
Solution (b) 1.5 cm

18. Î”ABC ~ Î”PQR, ∠B = 50° and ∠C = 70° then ∠P is equal to​
(a) 50°
(b) 60°
(c) 40°
(d) 70°
Solution (b) 60°

19. If Î”ABC is similar to Î”DEF such that 2 AB = DE and BC = 8 cm then EF is equal to.
(a) 4 cm
(b) 8 cm
(c) 12 cm
(d) 16 cm
Solution (d) 16 cm

20. Which geometric figures are always similar?
(a) Circles
(b) Circles and all regular polygons
(c) Circles and triangles
(d) Regular
Solution (b) Circles and all regular polygons

21. If ABC and PQR are similar triangles in which ∠ A = 47° and ∠ Q = 83°, then ∠ C is:
(a) 50°
(b) 70°
(c) 60°
(d) 80°
Solution (a) 50°

22 If Î”ABC ~ Î”DEF and EF = 1/3BC, then ar(Î”ABC):(Î”DEF) is
(a) 3:1
(b) 1:3
(c) 1:9
(d) 9:1
Solution (c) 1:9