CBSE Class 10 Maths Chapter 6 Triangles MCQs

Mathematics is a subject that becomes easier with practice, and solving objective-type questions is one of the best ways to prepare for exams. In Class 10 Maths Chapter 6 – Triangles, students learn about similarity of triangles, important theorems, and their applications. To strengthen this chapter, solving MCQs is very helpful. This is why we have prepared a detailed collection of CBSE Class 10 Maths Chapter 6 MCQs that will guide you in revising important topics quickly and effectively.

The triangles class 10 mcq set is designed according to the latest CBSE exam pattern. Each mcq on triangles class 10 covers important concepts like basic proportionality theorem, similarity of triangles, Pythagoras theorem, and the properties of similar figures. These objective questions not only test your knowledge but also improve your problem-solving speed, which is important for board exams. By practicing triangle mcq class 10, you will be able to recall formulas, understand logic, and build confidence.

Students often look for short and precise revision methods before exams. Solving triangle class 10 mcq questions makes revision easier because they highlight all the key concepts in a simple way. The class 10 triangles mcq questions given here are prepared by keeping in mind the common exam questions and previous year trends. Whether you are revising for school exams or preparing for competitive exams, these mcq triangles class 10 sets will be very useful.

In this resource, you will find a variety of class 10 maths chapter 6 mcq questions ranging from easy to advanced level. They will test your theoretical knowledge as well as practical application of theorems. By solving them regularly, you will master the concepts of similarity and theorems in triangles.

Do Check: CBSE Class 10 Maths MCQs

Triangles Class 10 MCQs

Question: In a right-angled triangle, the square of the hypotenuse is equal to:

a) Sum of the squares of the other two sides
b) Difference of the squares of the other two sides
c) Twice the product of the other two sides
d) None of the above

Answer: a) Sum of the squares of the other two sides

Question: Two triangles are similar if their:

a) Corresponding angles are equal
b) Corresponding sides are equal
c) Corresponding sides are proportional
d) Both a and c

Answer: d) Both a and c

Question: In △ABC, if AB/DE = BC/EF = CA/FD, then △ABC is:

a) Congruent to △DEF
b) Similar to △DEF
c) Not related to △DEF
d) None of the above

Answer: b) Similar to △DEF

Question: If △PQR ~ △XYZ and PQ/XY = 2/3, then area of △PQR / area of △XYZ is:

a) 4/9
b) 9/4
c) 2/3
d) 3/2

Answer: a) 4/9

Question: In △ABC, AD is the median. If △ABD ~ △ACD, then △ABC is:

a) Right-angled triangle
b) Equilateral triangle
c) Isosceles triangle
d) None of the above

Answer: c) Isosceles triangle

Question: In △ABC, if AB² + BC² = AC², then the angle opposite to AC is:

a) 30°
b) 45°
c) 60°
d) 90°

Answer: d) 90°

Do Check: NCERT Solutions for Class 10 Maths

Question: In a triangle, if two sides are 7 cm and 24 cm and the hypotenuse is 25 cm, the triangle is:

a) Right-angled triangle
b) Acute-angled triangle
c) Obtuse-angled triangle
d) None of the above

Answer: a) Right-angled triangle

Question: In △ABC, if AB = 6 cm, BC = 8 cm, and AC = 10 cm, then △ABC is:

a) Right-angled triangle
b) Equilateral triangle
c) Isosceles triangle
d) Scalene triangle

Answer: a) Right-angled triangle

Question: If △ABC ~ △DEF and AB = 3 cm, DE = 4 cm, BC = 6 cm, then EF is:

a) 8 cm
b) 6 cm
c) 4.5 cm
d) 5 cm

Answer: a) 8 cm

Question: In △PQR, if PQ² + QR² > PR², then the triangle is:

a) Right-angled
b) Acute-angled
c) Obtuse-angled
d) None of the above

Answer: b) Acute-angled

Question: In △ABC, if AB = AC, then △ABC is:

a) Scalene
b) Isosceles
c) Equilateral
d) None of the above

Answer: b) Isosceles

Question: If two triangles are similar, then their corresponding sides are:

a) Equal
b) Proportional
c) Unequal
d) None of the above

Answer: b) Proportional

Question: If △PQR ~ △XYZ and ∠P = 50°, ∠Q = 60°, then ∠Y is:

a) 50°
b) 60°
c) 70°
d) 80°

Answer: c) 70°

Question: If △ABC ~ △DEF and area of △ABC = 16 cm², area of △DEF = 64 cm², then (AB/DE)² is:

a) 1/4
b) 1/2
c) 1/16
d) 1/8

Answer: a) 1/4

Do Check: CBSE Class 10 Maths Syllabus

Question: The ratio of the areas of two similar triangles is equal to the:

a) Ratio of their corresponding heights
b) Ratio of their corresponding medians
c) Ratio of the squares of their corresponding sides
d) Ratio of the cubes of their corresponding sides

Answer: c) Ratio of the squares of their corresponding sides

Question: In a right-angled triangle, the altitude to the hypotenuse is:

a) Smaller than both legs
b) Equal to one of the legs
c) Greater than both legs
d) The geometric mean of the segments into which the hypotenuse is divided

Answer: d) The geometric mean of the segments into which the hypotenuse is divided

Question: In △ABC, if AD is the angle bisector of ∠A, then AB/AC = BD/DC is known as:

a) Basic Proportionality Theorem
b) Angle Bisector Theorem
c) Pythagoras Theorem
d) None of the above

Answer: b) Angle Bisector Theorem

Question: If △ABC ~ △PQR and AB/QR = BC/PR, then which of the following is true?

a) ∠A = ∠P
b) ∠B = ∠Q
c) ∠C = ∠R
d) All of the above

Answer: d) All of the above

Question: In △ABC, if ∠B = 90°, AB = 5 cm, BC = 12 cm, then AC is:

a) 13 cm
b) 11 cm
c) 10 cm
d) 6 cm

Answer: a) 13 cm

Question: If △DEF ~ △XYZ and the sides of △DEF are 3 cm, 4 cm, and 5 cm, then the sides of △XYZ can be:

a) 6 cm, 8 cm, 10 cm
b) 9 cm, 12 cm, 15 cm
c) 12 cm, 16 cm, 20 cm
d) All of the above

Answer: d) All of the above

Question: The area of two similar triangles is in the ratio 4:9. The ratio of their corresponding sides is:

a) 2:3
b) 4:9
c) 8:27
d) 16:81

Answer: a) 2:3

Question: In △ABC, if AB = 6 cm, AC = 8 cm, and AD is the median, then BD/DC is:

a) 2/1
b) 1/2
c) 1/1
d) None of the above

Answer: c) 1/1

Question: In △PQR, if ∠P = 30°, ∠Q = 60°, then ∠R is:

a) 60°
b) 90°
c) 120°
d) 150°

Answer: b) 90°

Do Check: CBSE Class 10 Maths Notes

Question: If in △ABC, ∠A = ∠C and AB = 6 cm, AC = 6 cm, then △ABC is:

a) Scalene
b) Isosceles
c) Equilateral
d) Right-angled

Answer: b) Isosceles

Question: The sum of the angles of a triangle is:

a) 90°
b) 120°
c) 180°
d) 360°

Answer: c) 180°

Question: If △ABC ~ △XYZ and the ratio of their areas is 1:9, then the ratio of their corresponding sides is:

a) 1:3
b) 1:9
c) 3:1
d) 9:1

Answer: a) 1:3

Question: The median of a triangle divides it into:

a) Two congruent triangles
b) Two similar triangles
c) Two triangles of equal area
d) None of the above

Answer: c) Two triangles of equal area

Question: In △ABC, if ∠B = 90°, BC = 4 cm, AC = 5 cm, then AB is:

a) 3 cm
b) 2 cm
c) 6 cm
d) 9 cm

Answer: a) 3 cm

Question: In △PQR, if PQ = QR, then the triangle is:

a) Scalene
b) Isosceles
c) Equilateral
d) None of the above

Answer: b) Isosceles

Question: In △ABC, if AB = 12 cm, AC = 16 cm, BC = 20 cm, then ∠A is:

a) 90°
b) 60°
c) 45°
d) 30°

Answer: a) 90°

Question: In △XYZ, if XY = 7 cm, XZ = 24 cm, and YZ = 25 cm, the triangle is:

a) Scalene
b) Isosceles
c) Right-angled
d) Equilateral

Answer: c) Right-angled

Question: The perimeter of an equilateral triangle with side length 6 cm is:

a) 6 cm
b) 12 cm
c) 18 cm
d) 24 cm

Answer: c) 18 cm

Question: If △ABC ~ △DEF, and the ratio of their corresponding sides is 1:2, then the ratio of their perimeters is:

a) 1:2
b) 1:4
c) 2:1
d) 1:1

Answer: a) 1:2

Question: In △PQR, if PR² = PQ² + QR², then △PQR is:

a) Right-angled
b) Equilateral
c) Isosceles
d) Scalene

Answer: a) Right-angled

Do Check: CBSE Class 10 Maths Sample Papers

Question: In △ABC, if ∠A = 60°, ∠B = 60°, then the triangle is:

a) Right-angled
b) Scalene
c) Isosceles
d) Equilateral

Answer: d) Equilateral

Question: In △DEF, if DE = 8 cm, EF = 15 cm, DF = 17 cm, then the triangle is:

a) Scalene
b) Isosceles
c) Equilateral
d) Right-angled

Answer: d) Right-angled

Question: In △ABC, if AB = AC = BC, then the triangle is:

a) Scalene
b) Isosceles
c) Equilateral
d) Right-angled

Answer: c) Equilateral

Question: If △PQR is right-angled at P, and PQ = 3 cm, PR = 4 cm, then QR is:

a) 5 cm
b) 6 cm
c) 7 cm
d) 8 cm

Answer: a) 5 cm

Question: In △ABC, if AB² + BC² < AC², then the triangle is:

a) Acute-angled
b) Right-angled
c) Obtuse-angled
d) Equilateral

Answer: c) Obtuse-angled

Question: The sum of the lengths of any two sides of a triangle is:

a) Less than the third side
b) Equal to the third side
c) Greater than the third side
d) None of the above

Answer: c) Greater than the third side

Question: In △ABC, if BC is the hypotenuse and AB² + AC² = BC², then △ABC is:

a) Right-angled
b) Equilateral
c) Isosceles
d) Scalene

Answer: a) Right-angled

Question: If △PQR is an equilateral triangle and PQ = 6 cm, then the area of △PQR is:

a) 18 cm²
b) 9√3 cm²
c) 36 cm²
d) 27√3 cm²

Answer: b) 9√3 cm²

Question: The altitude of an equilateral triangle of side 8 cm is:

a) 4 cm
b) 4√3 cm
c) 8 cm
d) 8√3 cm

Answer: b) 4√3 cm

Question: In △XYZ, if ∠X = 90° and XY = 6 cm, YZ = 10 cm, then XZ is:

a) 6 cm
b) 8 cm
c) 10 cm
d) 12 cm

Answer: b) 8 cm

Question: If in △ABC, ∠A = ∠B = ∠C, then the triangle is:

a) Isosceles
b) Scalene
c) Right-angled
d) Equilateral

Answer: d) Equilateral