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

## MCQ | Triangles Class 10 | Sat B

Check the below NCERT MCQ Questions for Class 10 Maths Chapter 6 Triangles with Answers Pdf free download. MCQ Questions for Class 10 Maths with Answers were prepared based on the latest exam pattern. We have Provided Triangles Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

### Objective Question | NCERT Maths Class 10

Book: National Council of Educational Research and Training (NCERT) Central Board of Secondary Education (CBSE) 10th Maths 6 Triangles English

#### Ncert Solutions for Class 10 Maths | Objective Type Questions

You can refer to NCERT Solutions for Class 10 Maths Chapter 6 Triangles to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.
##### Triangles | Class 10 Maths | NCERT Solutions
 Q1. If ΔABC ∼ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true? A. BC . DE = AB .EF. B. AB . EF = AC . DE. C. BC . EF = AC . FD. D. BC . DE = AB .FD.
Ans: BC . DE = AB .EF.
 Q2. Which geometric figures are always similar?​ A. Circles B. Circles and all regular polygons C. Circles and triangles D. Regular
Ans: Circles and all regular polygons
 Q3. 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:
Ans: 1:1
 Q4. If in triangles ABC and DEF,$$\frac{\mathrm{AB}}{\mathrm{DE}}=\frac{\mathrm{BC}}{\mathrm{FD}}$$ , then they will be similar, if A. ∠B = ∠E B. ∠A = ∠D C. ∠B = ∠D D. ∠A = ∠F
Ans: ∠B = ∠D
 Q5. 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
Ans: similar but not congruent
Explaination: (2) Similar but not congruent

 Q6. Sides of two similar triangles are in the ratio 3 : 7. Areas of these triangles are in the ratio A. 9 : 35 B. 9 : 49 C. 49 : 9 D. 9 : 42
Ans: 9 : 49
Explaination:
Ratio of areas of two similar triangles is the square of the ratio of their corresponding sides.
Required ratio = 9 : 49.

 Q7. Sides of triangles are (i) 3 cm, 4 cm, 6 cm. (ii) 4 cm, 5 cm, 6 cm. (iii) 7 cm, 24 cm, 25 cm (iv) 5 cm, 12 cm, 14 cm. Which of these is right triangle? A. (i) B. (ii) C. (iii) D. (iv)
Ans: (iii)
Explaination:
On verification, triangle with sides 7 cm, 24 cm and 25 cm is a right triangle
∵ (25)² = (7)² + (24)².

 Q8. The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is A. 9 cm B. 10 cm C. 8 cm D. 20 cm
Ans: 1 cm
Explaination:
Diagonals of a Rhombus are perpendicular to each other and bisect each oSo AO = 8 cm
BO = 6 cm
∠AOB = 90°
In right angled ΔAOB
AB² = AO² + OB²
AB² = 8² + 6² = 64 + 36
AB =√100 = 10 cm.

 Q9. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is A. 2.5 B. 3 C. 5 D. 6
Ans: 3
 Q10. In trapezium ABCD a line EF cuts the diagonal AC in O such that AO/OC = 2/3 and EF is parallel to BC.In what ratio does EF cut AB and CD?​ A. 1:2 B. 3:4 C. 2:3 D. 1:4
Ans: 2:3
 Q11. 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
Ans: 1 : 2
 Q12. 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
Ans: square of the ratio of their corresponding sides.
 Q13. If ΔABC ∼ ΔDEF and EF = 1/3BC, then ar(ΔABC):(ΔDEF) is A. 3 : 1. B. 1 : 3. C. 1 : 9. D. 9 : 1.
Ans: 1 : 9.
 Q14. Triangle ABC is similar to triangle DEF and their areas are 64 cm2 and 121 cm2 respectively. If EF = 15.4 cm, then BC = ?​ A. 11.2 cm B. 8 cm C. 11 cm D. 13 cm
Ans: 11.2 cm
 Q15. A square and a rhombus are always A. similar B. congruent C. similar but not congruent D. neither similar nor congruent
Ans: neither similar nor congruent
 Q16. In triangle ABC, if AB = 6√3 cm, AC = 12 cm and BC cm, then ∠B is A. 120° B. 60° C. 90° D. 45°
Ans: 90°
 Q17. If in triangles ABC and DEF, AB/EF = AC/DE, then they will be similar when A. ∠A = ∠D B. ∠A = ∠E C. ∠B = ∠E D. ∠C = ∠F
Ans: ∠A = ∠E
 Q18. Two poles stand on the ground at a distance of 20m and 50 m respectively from a point A on the ground, the taller pole at 30 m from smaller pole. A cable originates from the top pf the taller pole, passing on the other pole ends on a hook at point A. If the length of the cable is 100 m , how much of it lies between the the two poles? A. 50m B. 40 m C. 60 m D. 80 m
Ans: 60 m

# Ncert Solutions for Class 10 Maths

### Ncert Solutions for Class 10 Maths Chapter 15

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