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) |
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Board: | Central Board of Secondary Education (CBSE) |
Class: | 10th |
Subject: | Maths |
Chapter: | 6 |
Chapters Name: | Triangles |
Medium: | 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. |
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B. AB . EF = AC . DE. |
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C. BC . EF = AC . FD. |
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D. BC . DE = AB .FD. |
Ans: BC . DE = AB .EF.
Q2. | Which geometric figures are always similar? |
A. Circles |
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B. Circles and all regular polygons |
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C. Circles and triangles |
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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 |
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B. 1:1 |
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C. 1:3 |
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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 |
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B. ∠A = ∠D |
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C. ∠B = ∠D |
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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 |
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B. similar but not congruent |
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C. neither congruent nor similar |
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D. congruent as well as similar |
Ans: similar but not congruent
Explaination: (2) 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 |
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B. 9 : 49 |
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C. 49 : 9 |
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D. 9 : 42 |
Ans: 9 : 49
Required ratio = 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) |
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B. (ii) |
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C. (iii) |
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D. (iv) |
Ans: (iii)
∵ (25)² = (7)² + (24)².
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 |
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B. 10 cm |
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C. 8 cm |
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D. 20 cm |
Ans: 1 cm
BO = 6 cm
∠AOB = 90°
In right angled ΔAOB
AB² = AO² + OB²
AB² = 8² + 6² = 64 + 36
AB =√100 = 10 cm.
Explaination:
Diagonals of a Rhombus are perpendicular to each other and bisect each oSo AO = 8 cmBO = 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 |
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B. 3 |
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C. 5 |
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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 |
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B. 3:4 |
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C. 2:3 |
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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 |
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B. 3 : 2 |
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C. 1 : 3 |
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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. |
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B. the ratio of their corresponding sides |
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C. square of the ratio of their corresponding angles |
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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. |
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B. 1 : 3. |
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C. 1 : 9. |
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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 |
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B. 8 cm |
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C. 11 cm |
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D. 13 cm |
Ans: 11.2 cm
Q15. | A square and a rhombus are always |
A. similar |
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B. congruent |
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C. similar but not congruent |
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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° |
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B. 60° |
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C. 90° |
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D. 45° |
Ans: 90°
Q17. | If in triangles ABC and DEF, AB/EF = AC/DE, then they will be similar when |
A. ∠A = ∠D |
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B. ∠A = ∠E |
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C. ∠B = ∠E |
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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 |
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B. 40 m |
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C. 60 m |
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D. 80 m |
Ans: 60 m
CBSE Solutions | Ncert Solutions Maths Class 10
NCERT Solutions | 10th Maths Guide
NCERT | Class 10 Maths Solution
Ncert Solutions for Class 10 Maths
Ncert Solutions for Class 10 Maths Chapter 1
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MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat A
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat B
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat C
MCQ Questions for Class 10 Maths Chapter 1 Real Numbers Sat D
Ncert Solutions for Class 10 Maths Chapter 2
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MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat A
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat B
MCQ Questions for Class 10 Maths Chapter 2 Polynomials Sat C
Ncert Solutions for Class 10 Maths Chapter 3
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MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat A
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat B
MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Sat C
Ncert Solutions for Class 10 Maths Chapter 4
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MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat A
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat B
MCQ Questions for Class 10 Maths Chapter 4 Quadratic Equations Sat C
Ncert Solutions for Class 10 Maths Chapter 5
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MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat A
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat B
MCQ Questions for Class 10 Maths Chapter 5 Arithmetic Progressions Sat C
Ncert Solutions for Class 10 Maths Chapter 6
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MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat A
MCQ Questions for Class 10 Maths Chapter 6 Triangles Sat B
Ncert Solutions for Class 10 Maths Chapter 7
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MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat A
MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry Sat B
Ncert Solutions for Class 10 Maths Chapter 8
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MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat B
MCQ Questions for Class 10 Maths Chapter 8 Introduction to Trigonometry Sat C
Ncert Solutions for Class 10 Maths Chapter 9
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MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat A
MCQ Questions for Class 10 Maths Chapter 9 Some Applications of Trigonometry Sat B
Ncert Solutions for Class 10 Maths Chapter 10
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MCQ Questions for Class 10 Maths Chapter 10 Circles Sat A
MCQ Questions for Class 10 Maths Chapter 10 Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 11
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MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat A
MCQ Questions for Class 10 Maths Chapter 11 Constructions Sat B
Ncert Solutions for Class 10 Maths Chapter 12
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MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat A
MCQ Questions for Class 10 Maths Chapter 12 Areas Related to Circles Sat B
Ncert Solutions for Class 10 Maths Chapter 13
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MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat A
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat B
MCQ Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes Sat C
Ncert Solutions for Class 10 Maths Chapter 14
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MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat A
MCQ Questions for Class 10 Maths Chapter 14 Statistics Sat B
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