How to Prepare for CBSE Class 10 Maths Exam and Score Full Marks

CBSE Class 10 Maths Preparation Guide Mathematics can be one of the highest scoring subjects in CBSE Class 10 if approached with the right strategy and discipline. Unlike theory-based subjects, Maths requires consistent practice, conceptual clarity, and a smart study plan. Here’s a complete guide for Class 10 students to prepare effectively and aim for full marks in the Maths board exam. 1. Understand the Syllabus Thoroughly Start your preparation by going through the CBSE Class 10 Maths syllabus . Make a list of all the chapters and note the weightage of each unit. Focus more on chapters with higher weightage like Algebra, Geometry, and Trigonometry. Having a clear idea of the syllabus helps you plan your study schedule smartly. 2. Build a Strong Foundation Before jumping into problem-solving, ensure that you understand the concepts behind each topic. Whether it’s quadratic equations, coordinate geometry, or surface areas, clarity is key. If you're ...
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Class 10 Maths – Chapter 6: Triangles (60 MCQs)

Triangles (Similarity) — 60 MCQs (Interactive)

Triangles (Similarity) — 60 MCQs

Select an option to auto-check. Click Answer to reveal the official answer and brief note. Use Reset per question or Reset All.
  1. 1
    Two figures having the same shape but not necessarily the same size are called:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similar figures — Two figures have same shape (not necessarily size).
  2. 2
    All congruent figures are:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similar — congruence implies similarity.
  3. 3
    All circles are:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similar — all circles have same shape.
  4. 4
    All squares are:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Similar only — squares of different sizes are similar; congruent only if side lengths equal.
  5. 5
    All equilateral triangles are:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similar — equilateral triangles have same angles.
  6. 6
    A square and a rhombus are not similar because:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — shape differs unless it's a square (special rhombus).
  7. 7
    Two polygons of the same number of sides are similar if:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — both conditions required for polygon similarity.
  8. 8
    The constant ratio of corresponding sides of similar figures is called:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Scale factor — also called representative fraction.
  9. 9
    World maps are drawn using:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Similarity — maps use scales (similarity ratios).
  10. 10
    The shadow of an object forms:
    Correct ✅
    Incorrect ✖
    Answer
    (b) A similar figure — shadow keeps shape, scales size.
  11. 11
    If one polygon is similar to a second and the second is similar to a third, then:
    Correct ✅
    Incorrect ✖
    Answer
    (b) First and third are similar — similarity is transitive.
  12. 12
    In quadrilaterals, equality of corresponding angles alone is:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Not sufficient — sides must also be proportional.
  13. 13
    In quadrilaterals, proportionality of corresponding sides alone is:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Not sufficient — angles must match too for polygon similarity.
  14. 14
    A photograph of the same object printed in different sizes shows:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similarity — shape preserved, size changed by scale factor.
  15. 15
    Scale factor of a figure enlarged from 35 mm to 45 mm is:
    Correct ✅
    Incorrect ✖
    Answer
    (a) 45/35 — new length divided by original length.
  16. 16
    Two triangles are similar if:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Both conditions — equal angles and proportional sides.
  17. 17
    Equiangular triangles are always:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Similar — same angles imply proportional sides (Thales/BPT idea).
  18. 18
    Thales’ theorem is also called:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Basic Proportionality Theorem — line parallel to one side divides other sides proportionally.
  19. 19
    In ΔABC, DE ∥ BC ⇒ AD/DB =:
    Correct ✅
    Incorrect ✖
    Answer
    (a) AE/EC — Basic Proportionality Theorem result.
  20. 20
    Theorem 6.1 states:
    Correct ✅
    Incorrect ✖
    Answer
    (a) That is exactly Theorem 6.1 (Basic Proportionality Theorem).
  21. 21
    Converse of Theorem 6.1 (Theorem 6.2):
    Correct ✅
    Incorrect ✖
    Answer
    (a) Theorem 6.2 is the converse: equal ratios imply parallel.
  22. 22
    A trapezium ABCD with AB ∥ DC and EF ∥ AB, then:
    Correct ✅
    Incorrect ✖
    Answer
    (a) AE/ED = BF/FC — from similar triangles in trapezium construction.
  23. 23
    If PS/SQ = PT/TR and ∠PST = ∠PRQ, then ΔPQR is:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Isosceles — leads to equal base angles so two sides equal.
  24. 24
    Using Theorem 6.1, a line through midpoint of one side ∥ another side will:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Bisect third side — median parallel to side bisects the third side.
  25. 25
    If diagonals intersect with AO/BO = CO/DO, the quadrilateral is:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Trapezium — that ratio condition implies one pair of opposite sides parallel.
  26. 26
    If DE ∥ BC in ΔABC ⇒ AD/AB =:
    Correct ✅
    Incorrect ✖
    Answer
    (a) AE/AC — rearranged from theorem result AD/AB = AE/AC.
  27. 27
    If a line divides two sides in equal ratio, it must be:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Parallel to third side — converse of BPT.
  28. 28
    The symbol used for similarity of triangles:
    Correct ✅
    Incorrect ✖
    Answer
    (c) ~ — e.g., ΔABC ~ ΔDEF.
  29. 29
    ΔABC ~ ΔDEF implies:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — corresponding angles equal and sides proportional.
  30. 30
    Similarity relation must always be written with:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Correct correspondence — order matters to show which vertex corresponds to which.
  31. 31
    AAA criterion means:
    Correct ✅
    Incorrect ✖
    Answer
    (b) AAA — equal angles imply similarity.
  32. 32
    AA criterion states:
    Correct ✅
    Incorrect ✖
    Answer
    (a) AA — two angles equal implies third equal by angle sum; triangles similar.
  33. 33
    SSS similarity criterion means:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Sides proportional ⇒ angles equal ⇒ similarity.
  34. 34
    SAS similarity criterion states:
    Correct ✅
    Incorrect ✖
    Answer
    (a) SAS — equal included angle + proportional adjacent sides.
  35. 35
    RHS similarity criterion applies to:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Right triangles only — hypotenuse and one side proportional gives similarity.
  36. 36
    If AB/DE = AC/DF and ∠A = ∠D ⇒ ΔABC ~ ΔDEF by:
    Correct ✅
    Incorrect ✖
    Answer
    (a) SAS similarity.
  37. 37
    If ΔABC ~ ΔPQR ⇒ then CM/RN =:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — medians scale same as corresponding sides in similar triangles.
  38. 38
    In ΔABC and ΔDEF, if ∠A = ∠D, ∠B = ∠E, ∠C = ∠F ⇒ triangles similar by:
    Correct ✅
    Incorrect ✖
    Answer
    (b) AAA — equal corresponding angles imply similarity.
  39. 39
    If AB/DE = BC/EF = AC/DF ⇒ triangles are similar by:
    Correct ✅
    Incorrect ✖
    Answer
    (a) SSS similarity criterion.
  40. 40
    In ΔABC and ΔPQR, if ∠A = ∠P and AB/PQ = AC/PR ⇒ similarity criterion is:
    Correct ✅
    Incorrect ✖
    Answer
    (a) SAS — included angle and adjacent sides proportional.
  41. 41
    In two right triangles, if hypotenuse and one side proportional ⇒ triangles similar by:
    Correct ✅
    Incorrect ✖
    Answer
    (b) RHS — right triangle similarity criterion.
  42. 42
    ΔPOQ ~ ΔSOR if PQ ∥ RS because:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Because PQ ∥ RS gives corresponding equal angles (alternate & vertical).
  43. 43
    If ΔABC ~ ΔRQP ⇒ ∠C = ∠P due to:
    Correct ✅
    Incorrect ✖
    Answer
    (a) AAA — corresponding angles equal in similar triangles.
  44. 44
    A 6 m pole casts 4 m shadow; tower casts 28 m shadow ⇒ height of tower is:
    Correct ✅
    Incorrect ✖
    Answer
    Scale factor = 28/4 = 7; tower height = 6 * 7 = 42 m ⇒ (b).
  45. 45
    A girl of height 90 cm, lamp-post of 3.6 m ⇒ after 4 s walking (4.8 m away), shadow length =:
    Correct ✅
    Incorrect ✖
    Answer
    Using similar triangles: (4.8+x)/x = 3.6/0.9 = 4 ⇒ x = 1.6 m ⇒ (b).
  46. 46
    Similarity is based on:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Shape — similar figures have same shape (sizes may differ).
  47. 47
    Congruence implies:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Similarity always — congruent figures are same shape and size, hence similar.
  48. 48
    Two photos of same person (age 10 and 40) are:
    Correct ✅
    Incorrect ✖
    Answer
    (b) Not similar — shape changes with age even if sizes are same.
  49. 49
    A square and rectangle are not similar because:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Sides not proportional — rectangle sides ratio differs from 1:1 of square.
  50. 50
    A line parallel to one side of triangle divides:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Other two sides proportionally — Basic Proportionality Theorem.
  51. 51
    In ΔABC, DE ∥ BC ⇒ AD/DB = AE/EC shows:
    Correct ✅
    Incorrect ✖
    Answer
    (a) BPT — Basic Proportionality Theorem.
  52. 52
    The converse of Basic Proportionality Theorem is:
    Correct ✅
    Incorrect ✖
    Answer
    (a) That is Theorem 6.2, the converse.
  53. 53
    Triangles are denoted similar using symbol:
    Correct ✅
    Incorrect ✖
    Answer
    (a) ~ — e.g., ΔABC ~ ΔDEF.
  54. 54
    In similar triangles, ratio of altitudes is equal to:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Ratio of sides — all linear measures scale by same factor.
  55. 55
    If ΔABC ~ ΔPQR ⇒ then ratio of medians =:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — medians scale in same ratio as corresponding sides.
  56. 56
    If ΔABC ~ ΔPQR ⇒ then ratio of perimeters =:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Ratio of sides — perimeter scales by the same linear ratio.
  57. 57
    If ΔABC ~ ΔPQR ⇒ then ratio of areas =:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Square of side ratio — area scales with square of linear scale factor.
  58. 58
    The scale factor is also called:
    Correct ✅
    Incorrect ✖
    Answer
    (a) Representative Fraction — often used in maps/blueprints.
  59. 59
    Example of indirect measurement using similarity:
    Correct ✅
    Incorrect ✖
    Answer
    (c) Both — indirect measurements often use similar triangles/ratio methods.
  60. 60
    Which theorem is applied in proving Pythagoras theorem using similarity?
    Correct ✅
    Incorrect ✖
    Answer
    (c) AAA/Similarity arguments — similarity of triangles is used in many proofs of Pythagoras.
Prepared from NCERT Class 10 — Chapter: Triangles (Similarity). Use the Reset All button to clear all answers.

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