10TH CBSE Mathematics QUIZ — Triangles 10 MCQ Tests × 10 Questions = 100 Questions

Class 10 Mathematics — Triangles

10 MCQ Tests × 10 Questions = 100 Questions

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Test 1

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If two similar triangles have corresponding sides in the ratio 4:9, their areas are in the ratio:

A. 4:9B. 8:27C. 16:81D. 81:16

Q2. An isosceles triangle is right-angled at C. If AC = BC, then:

A. AB² = AC²B. AB² = 2AC²C. AC² = 2AB²D. AB² = 4AC²

Q3. The area of a triangle with base 5 units and height 3 units is:

A. 15 sq unitsB. 10 sq unitsC. 7.5 sq unitsD. 5 sq units

Useful resource: Ravi Test Papers

Q4. If a line is drawn parallel to one side of a triangle and intersects the other two sides, it divides those two sides:

A. in equal lengths alwaysB. in the same ratioC. at right anglesD. in the ratio 1:1 only

Q5. In ΔABC, DE ∥ BC. If AB = 7.2 cm, AC = 6.4 cm and AD = 4.5 cm, then AE is:

A. 5.4 cmB. 4 cmC. 3.6 cmD. 3.2 cm

Q6. If ΔABC ∼ ΔDEF and AB:DE = 2:3, then the ratio of their perimeters is:

A. 2:3B. 3:2C. 4:9D. 9:4

Useful resource: CBSE Class 10 Maths

Q7. A man walks 24 m west and then 10 m north. His distance from the starting point is:

A. 34 mB. 17 mC. 26 mD. 28 m

Q8. A chord of a circle of radius 10 cm subtends 90° at the centre. Its length is:

A. 10 cmB. 10√2 cmC. 20 cmD. 5√2 cm

Q9. The shadow of a 5 m stick is 2 m. At the same time, a 12.5 m object has a shadow of:

A. 3 mB. 4 mC. 4.5 mD. 5 m

Useful resource: CBSE Class 10 Science

Q10. Sides of two similar triangles are in the ratio 4:9. The ratio of their areas is:

A. 2:3B. 4:9C. 81:16D. 16:81

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Test 2

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If the diagonals of a trapezium divide each other proportionally, the quadrilateral is a:

A. ParallelogramB. TrapeziumC. RectangleD. Square

Q2. If DE ∥ BC in ΔABC, AB = 12 cm, AD = 8 cm and AC = 15 cm, then AE is:

A. 8 cmB. 9 cmC. 10 cmD. 12 cm

Q3. If ΔABC ∼ ΔDEF, AB = 4 cm and DE = 6 cm, and EF = 9 cm, then BC is:

A. 4 cmB. 6 cmC. 8 cmD. 12 cm

Useful resource: CBSE Class 10 English

Q4. Two triangles are similar by AA criterion when:

A. all three sides are equalB. two corresponding angles are equalC. one side is equalD. two sides are equal

Q5. A 20 m stick casts a 10 m shadow. A tower casts a 50 m shadow at the same time. Its height is:

A. 50 mB. 80 mC. 100 mD. 120 m

Q6. Two poles of heights 6 m and 11 m stand 12 m apart. Distance between their tops is:

A. 12 mB. 13 mC. 14 mD. 15 m

Useful resource: CBSE Class 10 Social Science

Q7. Which is NOT a standard triangle similarity criterion?

A. AAB. SASC. SSSD. ASA

Q8. A triangle having all three sides equal is:

A. ScaleneB. IsoscelesC. EquilateralD. Right-angled

Q9. In ΔABC, DE ∥ BC. If DE = 5 cm, BC = 8 cm and AD = 3.5 cm, then AB is:

A. 5.6 cmB. 4.8 cmC. 5.2 cmD. 6.4 cm

Useful resource: CBSE Class 10 All Subjects

Q10. If the bisector of an angle of a triangle also bisects the opposite side, the triangle is:

A. ScaleneB. Equilateral necessarilyC. IsoscelesD. Obtuse

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Test 3

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. A man walks 24 m west and 7 m north. His distance from the starting point is:

A. 31 mB. 17 mC. 25 mD. 26 m

Q2. A rhombus has diagonals 16 cm and 12 cm. Its side is:

A. 9 cmB. 10 cmC. 8 cmD. 20 cm

Q3. If DE:BC = 3:5 for two similar triangles formed inside a triangle, the ratio of their areas is:

A. 3:5B. 9:16C. 9:25D. 25:9

Useful resource: Ravi Test Papers .in

Q4. A right triangle has hypotenuse 25 cm. Its other sides differ by 5 cm. The sides are:

A. 10 cm and 15 cmB. 15 cm and 20 cmC. 12 cm and 17 cmD. 13 cm and 18 cm

Q5. Two similar isosceles triangles have areas in the ratio 16:25. Their corresponding sides are in the ratio:

A. 4:5B. 5:4C. 3:2D. 5:7

Q6. A triangle has perimeter 100 cm and two sides 30 cm and 40 cm. The third side is:

A. 30 cmB. 40 cmC. 50 cmD. 60 cm

Useful resource: RAVI MATHS TUITION CENTRE YouTube

Q7. An isosceles triangle has AB = AC = 13 cm and altitude from A to BC = 5 cm. BC is:

A. 12 cmB. 16 cmC. 18 cmD. 24 cm

Q8. The line segments joining the midpoints of the sides of a triangle form four triangles each:

A. congruent to the originalB. similar to the originalC. equilateralD. right-angled

Q9. If two similar triangles have areas 9 cm² and 16 cm², their corresponding sides are in ratio:

A. 3:4B. 4:3C. 2:3D. 4:5

Useful resource: Ravi Test Papers

Q10. A vertical stick 1.8 m long casts a 45 cm shadow. A 1.5 m object at the same time casts a shadow of:

A. 30 cmB. 37.5 cmC. 45 cmD. 60 cm

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Test 4

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If ΔABC ∼ ΔDEF and AB:DE = 3:4, then the ratio of their areas is:

A. 3:4B. 6:8C. 9:16D. 16:9

Q2. If corresponding sides of two similar triangles are 2:3 and the smaller area is 48 cm², the larger area is:

A. 72 cm²B. 96 cm²C. 108 cm²D. 120 cm²

Q3. If AB = 5 cm, AC = 12 cm and ∠A = 90°, then BC is:

A. 13 cmB. 17 cmC. 7 cmD. 10 cm

Useful resource: CBSE Class 10 Maths

Q4. An equilateral triangle has side 10 cm. Its altitude is:

A. 5 cmB. 5√3 cmC. 10√3 cmD. 20 cm

Q5. An equilateral triangle has side 12 cm. Its altitude is:

A. 6 cmB. 6√3 cmC. 12√3 cmD. 18 cm

Q6. An equilateral triangle ABC has D as midpoint of BC. Then AD² equals:

A. CD²B. 2CD²C. 3CD²D. 4CD²

Useful resource: CBSE Class 10 Science

Q7. If D and E are midpoints of AB and AC respectively, then ΔADE is similar to ΔABC with side ratio:

A. 1:2B. 2:1C. 1:4D. 4:1

Q8. If the side ratio of two similar triangles is 5:7, their corresponding medians are in ratio:

A. 7:5B. 5:7C. 25:49D. 49:25

Q9. If two similar triangles have side ratio 3:4, their corresponding altitudes are in ratio:

A. 9:16B. 4:3C. 3:4D. 16:9

Useful resource: CBSE Class 10 English

Q10. A 25 m ladder reaches a 24 m high wall. Its foot is how far from the wall?

A. 5 mB. 7 mC. 14 mD. 21 m

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Test 5

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If a triangle's side satisfies a² = b² + c², the angle opposite a is:

A. AcuteB. ObtuseC. Right angleD. 60°

Q2. In a right triangle, the hypotenuse is 10 cm and one leg is 6 cm. The other leg is:

A. 4 cmB. 6 cmC. 8 cmD. 10 cm

Q3. Two poles of heights 13 m and 7 m are 8 m apart. Distance between their tops is:

A. 9 mB. 10 mC. 11 mD. 12 m

Useful resource: CBSE Class 10 Social Science

Q4. A 6 m pole casts a 4 m shadow. A tower casts a 30 m shadow at the same time. Height of tower:

A. 24 mB. 50 mC. 45 mD. 84 m

Q5. A 6 m pole casts a 3.6 m shadow. A tower casts a 18 m shadow. Height of tower:

A. 20 mB. 24 mC. 30 mD. 32.4 m

Q6. A rhombus has diagonals 24 cm and 10 cm. Its side is:

A. 12 cmB. 13 cmC. 14 cmD. 17 cm

Useful resource: CBSE Class 10 All Subjects

Q7. A rhombus has side 10 cm and one diagonal 12 cm. The other diagonal is:

A. 16 cmB. 18 cmC. 20 cmD. 22 cm

Q8. If the sides of two similar triangles are in ratio 5:7, their areas are in ratio:

A. 5:7B. 10:14C. 25:49D. 49:25

Q9. If two similar triangles have areas 25 cm² and 36 cm², their corresponding sides are in ratio:

A. 5:6B. 6:5C. 25:36D. 36:25

Useful resource: Ravi Test Papers .in

Q10. The ratio of areas of two similar triangles is equal to:

A. ratio of corresponding sidesB. square of ratio of corresponding sidesC. cube of ratio of sidesD. square root of ratio of sides

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Test 6

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If AB = 9.1 cm and DE = 6.5 cm in similar triangles, the ratio AB:DE is:

A. 6:7B. 7:5C. 5:7D. 9:6

Q2. If the perimeter of a smaller triangle is 18 cm and corresponding side ratio smaller:larger is 2:3, the larger perimeter is:

A. 24 cmB. 27 cmC. 30 cmD. 36 cm

Q3. If a line divides two sides of a triangle in the same ratio, it is:

A. parallel to the third sideB. perpendicular to the third sideC. equal to the third sideD. an angle bisector

Useful resource: RAVI MATHS TUITION CENTRE YouTube

Q4. If DE ∥ BC, AD = 4 cm, DB = 7 cm, AE = 3 cm, then EC is:

A. 4.5 cmB. 5.25 cmC. 6 cmD. 7 cm

Q5. In ΔABC, AD is an angle bisector. If AB = 8 cm, BD = 6 cm and DC = 3 cm, then AC is:

A. 4 cmB. 6 cmC. 8 cmD. 12 cm

Q6. In ΔABC, AD is an angle bisector. If AB = 6 cm, AC = 5 cm and BD = 3 cm, then DC is:

A. 2.5 cmB. 3.5 cmC. 4 cmD. 5 cm

Useful resource: Ravi Test Papers

Q7. If AD is an angle bisector and AB/AC = BD/DC, this theorem is called:

A. Pythagoras theoremB. Angle Bisector TheoremC. Midpoint theoremD. Thales theorem

Q8. If the altitude from a vertex of a triangle bisects the opposite side, the triangle is:

A. ScaleneB. IsoscelesC. Equilateral alwaysD. Obtuse

Q9. If a triangle is equilateral and D is midpoint of BC, then AD is also:

A. only a sideB. median and altitudeC. only an angle bisectorD. none

Useful resource: CBSE Class 10 Maths

Q10. The altitude of an equilateral triangle of side 5 cm is approximately:

A. 4.33 cmB. 3.9 cmC. 5 cmD. 4 cm

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Test 7

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If corresponding sides of similar triangles are 4:9, their area ratio is:

A. 2:3B. 4:9C. 9:4D. 16:81

Q2. If two similar triangles have areas 121 cm² and 64 cm², the ratio of corresponding sides is:

A. 11:8B. 8:11C. 121:64D. 64:121

Q3. If the median of the smaller triangle is 8 cm and the side ratio smaller:larger is 8:11, the corresponding median of larger is:

A. 8.8 cmB. 10 cmC. 11 cmD. 12 cm

Useful resource: CBSE Class 10 Science

Q4. If the altitude of a smaller similar triangle is 5 cm and side ratio smaller:larger is 5:6, the larger altitude is:

A. 4.2 cmB. 6 cmC. 7 cmD. 8 cm

Q5. If ΔABC ∼ ΔPQR and AB:QR = 2:3, then ar(ABC):ar(PQR) is:

A. 2:3B. 3:2C. 4:9D. 9:4

Q6. If ar(ABC):ar(PQR)=4:9, then the ratio of corresponding sides AB:PQ is:

A. 4:9B. 2:3C. 3:2D. 16:81

Useful resource: CBSE Class 10 English

Q7. A 12 m pole casts a 5 m shadow. A tower casts a 25 m shadow. Its height is:

A. 40 mB. 50 mC. 60 mD. 72 m

Q8. A 20 m stick casts a 10 m shadow. An object casts a 25 m shadow. Its height is:

A. 25 mB. 40 mC. 50 mD. 60 m

Q9. A man goes 10 m east and 20 m north. His distance from the starting point is:

A. 20 mB. √300 mC. 10√5 mD. 30 m

Useful resource: CBSE Class 10 Social Science

Q10. A rectangle is 8 m long and 6 m broad. Its diagonal is:

A. 10 mB. 12 mC. 14 mD. 48 m

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Test 8

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If two corresponding angles of triangles are equal, the triangles are similar by:

A. SSSB. SASC. AAD. RHS

Q2. If corresponding sides of two triangles are proportional and the included angle is equal, the criterion is:

A. SAS similarityB. AAAC. SSS congruenceD. RHS

Q3. If all three corresponding sides of two triangles are proportional, the criterion is:

A. AAB. SASC. SSS similarityD. ASA

Useful resource: CBSE Class 10 All Subjects

Q4. If ΔABC ∼ ΔDEF, AB=4 cm and DE=6 cm, EF=9 cm and DF=12 cm, then the perimeter of ΔABC is:

A. 16 cmB. 18 cmC. 20 cmD. 24 cm

Q5. If the perimeters of similar triangles are 30 cm and 18 cm and BC=9 cm corresponds to EF, then EF is:

A. 5.4 cmB. 6.3 cmC. 7.2 cmD. 4.5 cm

Q6. If a smaller similar triangle has perimeter 16 cm and corresponding side ratio smaller:larger is 4:3? This is impossible because the smaller ratio must be less than 1. Which is correct?

A. The larger perimeter is 12 cmB. The larger perimeter is 21 cmC. The data are inconsistentD. The triangles are congruent

Useful resource: Ravi Test Papers .in

Q7. The line segments joining the midpoints of the sides of a triangle form a triangle whose sides are:

A. twice the original sidesB. half the corresponding original sidesC. equal to original sidesD. three times original sides

Q8. In an equilateral triangle, the altitude divides it into:

A. two equilateral trianglesB. two congruent right trianglesC. three congruent trianglesD. two scalene triangles

Q9. In an isosceles right triangle with equal legs 6 cm, the hypotenuse is:

A. 6 cmB. 12 cmC. 6√2 cmD. 3√2 cm

Useful resource: RAVI MATHS TUITION CENTRE YouTube

Q10. In a right triangle, if the two legs are 8 cm and 15 cm, the hypotenuse is:

A. 16 cmB. 17 cmC. 18 cmD. 23 cm

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Test 9

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. If AB=AC in ΔABC, then angles opposite these equal sides are:

A. equalB. supplementaryC. right anglesD. always 60°

Q2. If AB=BC=CA, the triangle is:

A. Isosceles onlyB. ScaleneC. EquilateralD. Right-angled

Q3. If a triangle has sides 6 cm, 8 cm and 10 cm, it is:

A. AcuteB. Right-angledC. ObtuseD. Equilateral

Useful resource: Ravi Test Papers

Q4. If a triangle has sides 5 cm, 12 cm and 13 cm, the angle opposite 13 cm is:

A. 30°B. 45°C. 60°D. 90°

Q5. A triangle has sides 7 cm, 24 cm and 25 cm. The angle opposite 25 cm is:

A. 90°B. 60°C. 45°D. 30°

Q6. If D is midpoint of BC in equilateral ΔABC, then BD:DC is:

A. 1:1B. 1:2C. 2:1D. 1:3

Useful resource: CBSE Class 10 Maths

Q7. If D and E are midpoints of AB and AC, then DE is parallel to:

A. ABB. ACC. BCD. AD

Q8. If BC=12 cm and D is midpoint of BC, then BD is:

A. 3 cmB. 4 cmC. 6 cmD. 8 cm

Q9. If AB=10 cm and D is midpoint of AB, then AD is:

A. 2 cmB. 5 cmC. 10 cmD. 20 cm

Useful resource: CBSE Class 10 Science

Q10. The converse of Pythagoras theorem is used to determine whether a triangle is:

A. equilateralB. isoscelesC. right-angledD. similar

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Test 10

Class 10 Mathematics — Triangles | 10 Questions

10 Marks

Q1. A 6 m pole casts a 3 m shadow. A tower casts a 15 m shadow at the same time. Tower height is:

A. 20 mB. 25 mC. 30 mD. 45 m

Q2. A 1.8 m stick casts a 45 cm shadow. A 3 m pole at the same time casts a shadow of:

A. 60 cmB. 75 cmC. 90 cmD. 120 cm

Q3. A 5 m stick casts a 2 m shadow. An object casts a 6 m shadow. Its height is:

A. 10 mB. 12 mC. 15 mD. 20 m

Useful resource: CBSE Class 10 English

Q4. A ladder 25 m long reaches a point 24 m high. Distance of its foot from the wall is:

A. 5 mB. 7 mC. 9 mD. 10 m

Q5. A right triangle has legs 9 cm and 12 cm. Its hypotenuse is:

A. 13 cmB. 15 cmC. 17 cmD. 21 cm

Q6. A right triangle has hypotenuse 17 cm and one leg 8 cm. The other leg is:

A. 9 cmB. 12 cmC. 15 cmD. 16 cm

Useful resource: CBSE Class 10 Social Science

Q7. A rhombus has diagonals 18 cm and 24 cm. Its side is:

A. 12 cmB. 13 cmC. 15 cmD. 21 cm

Q8. Two poles 13 m and 7 m high are 8 m apart. Their top-to-top distance is:

A. 8 mB. 9 mC. 10 mD. 12 m

Q9. If two similar triangles have side ratio 2:5, their area ratio is:

A. 2:5B. 4:25C. 5:2D. 25:4

Useful resource: CBSE Class 10 All Subjects

Q10. If two similar triangles have area ratio 49:25, their side ratio is:

A. 49:25B. 7:5C. 5:7D. 14:5

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Ravi Test Papers — Useful Links

• Ravi Test Papers
• CBSE Class 10 Maths
• CBSE Class 10 Science
• CBSE Class 10 English
• CBSE Class 10 Social Science
• CBSE Class 10 All Subjects
• Ravi Test Papers .in
• RAVI MATHS TUITION CENTRE YouTube

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