NCERT Class 10 Maths Chapter 6 Online Test – Triangles (50 MCQs) | Board Exam 2026

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NCERT Class 10 Mathematics – Chapter 6: Triangles

Board Exam 2026 focused online test strictly based on NCERT textbook.

Two triangles are similar if their corresponding angles are equal.
AAA similarity criterion compares angles only.
SAS similarity compares two sides in proportion and included angle equal.
SSS similarity compares ratios of all three corresponding sides.
Areas of similar triangles are proportional to squares of corresponding sides.

Q1. Two triangles are similar if:

Corresponding angles are equal

Areas are equal

Perimeters are equal

Heights are equal

Definition of similarity.

Q2. AAA similarity stands for:

Area–Area–Area

Angle–Angle–Angle

Side–Side–Side

Side–Angle–Side

AAA criterion.

Q3. SAS similarity compares:

Three angles

Three sides

Two sides and included angle

One side and two angles

SAS criterion.

Q4. SSS similarity compares:

Angles only

Two sides only

Areas

All three sides in proportion

SSS criterion.

Q5. In similar triangles, ratio of areas equals:

Square of ratio of corresponding sides

Ratio of sides

Ratio of angles

Ratio of heights

Area relation.

Q6. If two triangles have equal corresponding angles, they are:

Congruent

Similar

Right triangles

Isosceles

AAA similarity.

Q7. If sides of two triangles are in ratio 2:3, ratio of areas is:

2:3

3:2

4:9

9:4

Square of ratio.

Q8. Two similar triangles have equal:

Areas

Perimeters

Sides

Corresponding angles

Angles equal.

Q9. In SAS similarity, sides are taken:

Around equal angle

Opposite equal angle

Any sides

Only bases

Included angle.

Q10. If triangles are congruent, they are also:

Similar only

Similar

Right angled

Obtuse

Congruent implies similar.

Q11. If ratio of areas is 9:16, ratio of sides is:

9:16

16:9

3:4

4:3

Square root.

Q12. Similar triangles have:

Equal sides

Equal perimeters

Equal areas

Same shape

Similarity concept.

Q13. Ratio of perimeters of similar triangles equals:

Ratio of corresponding sides

Square of sides

Inverse ratio

Ratio of areas

Perimeter relation.

Q14. Which criterion uses only sides?

AAA

SSS

SAS

ASA

SSS.

Q15. In similar triangles, corresponding sides are:

Equal

Random

Proportional

Parallel

Proportional sides.

Q16. If ratio of sides is k, ratio of areas is:

1/k

k²

Square relation.

Q17. Two equilateral triangles are always:

Similar

Congruent

Right angled

Scalene

All angles 60°.

Q18. In AAA similarity, which is compared?

Sides

Angles

Areas

Perimeters

Angles only.

Q19. If two triangles are similar, their corresponding heights are:

Equal

Inverted

In same ratio as sides

Random

Heights proportional.

Q20. Which is NOT a similarity criterion?

AAA

SSS

SAS

ASA

ASA is congruence.

Q21. If sides are in ratio 5:7, ratio of perimeters is:

5:7

25:49

7:5

49:25

Same as sides.

Q22. Similar triangles have equal:

Sides

Angles

Areas

Heights

Angles equal.

Q23. If one triangle is enlargement of another, they are:

Congruent

Right angled

Similar

Scalene

Same shape.

Q24. Ratio of areas 1:9 implies ratio of sides:

1:9

9:1

1:81

1:3

Square root.

Q25. Two right triangles with equal acute angles are:

Similar

Congruent

Isosceles

Scalene

AAA similarity.

Q26. Which triangles are always similar?

Isosceles

Equilateral

Scalene

Right angled

All equilateral.

Q27. Ratio of areas 16:25 gives ratio of heights:

16:25

25:16

4:5

5:4

Square root.

Q28. Similar triangles differ in:

Shape

Angles

Type

Size

Size differs.

Q29. Ratio of medians in similar triangles equals:

Ratio of sides

Square of sides

Inverse ratio

Random

Proportional.

Q30. Two triangles with same shape but different size are:

Congruent

Similar

Isosceles

Right angled

Similarity definition.

Q31. In similar triangles, ratio of corresponding altitudes is:

Square of sides

Inverse

Same as sides

Random

Heights proportional.

Q32. Which property is preserved in similar triangles?

Area

Perimeter

Side length

Angles

Angles preserved.

Q33. Ratio of corresponding sides of similar triangles is called:

Scale factor

Height

Area factor

Angle factor

Scale factor.

Q34. If scale factor is 2, area factor is:

1/2

Square of 2.

Q35. Which statement is true?

Similar triangles have equal sides

Congruent triangles differ in size

Similar triangles have proportional sides

Congruent triangles differ in shape

Correct property.

Q36. Similarity deals with:

Position

Orientation

Congruence

Shape

Shape relation.

Q37. Two triangles with sides 3,4,5 and 6,8,10 are:

Similar

Congruent

Right angled only

Isosceles

Sides proportional.

Q38. Ratio of areas 25:49 implies scale factor:

25:49

5:7

7:5

49:25

Square root.

Q39. If one triangle is mirror image of another but same size, they are:

Similar

Different

Congruent

Scalene

Congruent.

Q40. Similar triangles always have:

Equal sides

Equal areas

Equal perimeters

Equal angles

Angle equality.

Q41. Which criterion uses proportional sides and equal angle?

SAS

AAA

SSS

ASA

SAS similarity.

Q42. Ratio of corresponding sides is 1:1 implies triangles are:

Similar

Congruent

Isosceles

Right angled

Same size.

Q43. If scale factor is k, ratio of perimeters is:

k²

1/k

k³

Linear measure.

Q44. Similar triangles are also:

Always congruent

Never congruent

Right angled

Geometrically proportional

Proportionality.

Q45. If ratio of sides is 1:2, ratio of areas is:

1:4

1:2

2:1

4:1

Square relation.

Q46. Similar triangles may differ in:

Angles

Size

Shape

Type

Size only.

Q47. Which is always true for similar triangles?

Equal areas

Equal sides

Equal angles

Equal perimeters

Angle equality.

Q48. Ratio of corresponding sides is also ratio of:

Areas

Squares

Volumes

Heights

Linear dimensions.

Q49. Two triangles with equal sides but different angles are:

Impossible

Similar

Congruent

Right angled

Equal sides fix angles.

Q50. The main focus of this chapter is:

Congruence

Similarity of triangles

Construction

Area only

NCERT objective.

Q1 Definition of similar triangles. Q2 AAA similarity. Q3 SAS similarity. Q4 SSS similarity. Q5 Area ratio relation. Q6 Equal angles imply similarity. Q7 Area ratio from side ratio. Q8 Equal angles in similar triangles. Q9 Included angle in SAS. Q10 Congruent implies similar. Q11 Side ratio from area ratio. Q12 Same shape property. Q13 Perimeter ratio. Q14 SSS criterion. Q15 Proportional sides. Q16 Area factor k². Q17 Equilateral triangles similarity. Q18 AAA uses angles. Q19 Heights proportional. Q20 Not a similarity criterion. Q21 Perimeter ratio equals side ratio. Q22 Angles equal. Q23 Enlargement implies similarity. Q24 Side ratio from area ratio. Q25 Right triangles with equal acute angles. Q26 Equilateral triangles. Q27 Height ratio. Q28 Size difference. Q29 Median ratio. Q30 Same shape different size. Q31 Altitude ratio. Q32 Angles preserved. Q33 Scale factor. Q34 Area factor. Q35 Proportional sides statement. Q36 Shape relation. Q37 Proportional sides example. Q38 Scale factor from areas. Q39 Mirror image congruent. Q40 Equal angles. Q41 SAS criterion. Q42 1:1 implies congruent. Q43 Perimeter ratio. Q44 Geometric proportionality. Q45 Area ratio. Q46 Size difference. Q47 Angle equality. Q48 Height ratio. Q49 Equal sides implies fixed angles. Q50 Chapter objective.

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NCERT Class 10 Maths Chapter 6 Online Test – Triangles (50 MCQs) | Board Exam 2026

NCERT Class 10 Mathematics – Chapter 6: Triangles

Q1. Two triangles are similar if:

Q2. AAA similarity stands for:

Q3. SAS similarity compares:

Q4. SSS similarity compares:

Q5. In similar triangles, ratio of areas equals:

Q6. If two triangles have equal corresponding angles, they are:

Q7. If sides of two triangles are in ratio 2:3, ratio of areas is:

Q8. Two similar triangles have equal:

Q9. In SAS similarity, sides are taken:

Q10. If triangles are congruent, they are also:

Q11. If ratio of areas is 9:16, ratio of sides is:

Q12. Similar triangles have:

Q13. Ratio of perimeters of similar triangles equals:

Q14. Which criterion uses only sides?

Q15. In similar triangles, corresponding sides are:

Q16. If ratio of sides is k, ratio of areas is:

Q17. Two equilateral triangles are always:

Q18. In AAA similarity, which is compared?

Q19. If two triangles are similar, their corresponding heights are:

Q20. Which is NOT a similarity criterion?

Q21. If sides are in ratio 5:7, ratio of perimeters is:

Q22. Similar triangles have equal:

Q23. If one triangle is enlargement of another, they are:

Q24. Ratio of areas 1:9 implies ratio of sides:

Q25. Two right triangles with equal acute angles are:

Q26. Which triangles are always similar?

Q27. Ratio of areas 16:25 gives ratio of heights:

Q28. Similar triangles differ in:

Q29. Ratio of medians in similar triangles equals:

Q30. Two triangles with same shape but different size are:

Q31. In similar triangles, ratio of corresponding altitudes is:

Q32. Which property is preserved in similar triangles?

Q33. Ratio of corresponding sides of similar triangles is called:

Q34. If scale factor is 2, area factor is:

Q35. Which statement is true?

Q36. Similarity deals with:

Q37. Two triangles with sides 3,4,5 and 6,8,10 are:

Q38. Ratio of areas 25:49 implies scale factor:

Q39. If one triangle is mirror image of another but same size, they are:

Q40. Similar triangles always have:

Q41. Which criterion uses proportional sides and equal angle?

Q42. Ratio of corresponding sides is 1:1 implies triangles are:

Q43. If scale factor is k, ratio of perimeters is:

Q44. Similar triangles are also:

Q45. If ratio of sides is 1:2, ratio of areas is:

Q46. Similar triangles may differ in:

Q47. Which is always true for similar triangles?

Q48. Ratio of corresponding sides is also ratio of:

Q49. Two triangles with equal sides but different angles are:

Q50. The main focus of this chapter is:

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