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

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**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) ΔPQR ~ ΔCAB

(b) ΔPQR ~ ΔABC

(c) ΔCBA ~ ΔPQR

(d) ΔBCA ~ ΔPQR

**Solution**(a) ΔPQR ~ ΔCAB

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 ΔLMN, ∠L = 50° and ∠N = 60°, If ΔLMN ~ ΔPQR, 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) ΔABC ~ ΔQRP

(b) ΔABC ~ ΔPQR

(c) ΔABC ~ ΔPRQ

(d) ΔABC ~ ΔRQP

**Solution**(d) ΔABC ~ ΔRQP

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. 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) 25 cm

(d) 30 cm

**Solution**(d) 30 cm

15. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, 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 ΔABC, 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. ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to

(a) 50°

(b) 60°

(c) 40°

(d) 70°

**Solution**(b) 60°

19. If ΔABC is similar to ΔDEF 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 ΔABC ~ ΔDEF and EF = 1/3BC, then ar(ΔABC):(ΔDEF) is

(a) 3:1

(b) 1:3

(c) 1:9

(d) 9:1

**Solution**(c) 1:9

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