Triangles: Class 10 Previous Year Questions

Triangles questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. If · ABC and · DEF are similar such that 2 AB = DE and BC = 8 cm, then EF is equal to : (a) 4cm (b)8cm (c) 12 cm (d) 16 cm
   Board 20261 markMCQ
2. In triangles ABC and DEF, B = E, F = C and AB = 3 DE. Then, the two triangles are : (A) congruent but not similar (B) congruent as well as similar (C) neither congruent nor similar (D) similar but not congruent
   Board 20251 markMCQ
3. | P a g e 9. Which of the following statements is incorrect ? (A) Two congruent figures are always similar. (B) A square and a rhombus of the same area are always similar. (C) Two equilateral triangles are always similar. (D) Two similar triangles need not be …
   Board 20251 markMCQ
4. The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to 1 (A) 7 8 (B) 6 7 (C) 7 6 (D) 8
   Board 20241 markMCQ
5. In the following figure, ΔABC is a right-angled triangle, such that: ♦ AC = 25 cm ♦ PT || AB and SR || BC (Note: The figure is not to scale.) Find the area of ΔPQR. Show your work.
   CBSE practice 2023-245 markslong answer
6. The perimeters of two similar triangles are 56 cm and 70 cm respectively. If one side of the first triangle is 14 cm, then the corresponding side of the second triangle (in cm) is: (A) 5 (B) 7.5 (C) 10 (D) 17.5
   Sample paper 2026-271 markMCQ
7. In the following figure, Q is a point on PR and S is a point on TR. QS is drawn and ∠RPT = ∠RQS. Which of these criteria can be used to prove that ΔRSQ is similar to ΔRTP? A. AAA similarity criterion B. SAS similarity criterion C. SSS similarity criterion D. R…
   CBSE practice 2021-221 markMCQ
8. Shown below are three triangles. The measures of two adjacent sides and included angle are given for each triangle. Which of these triangles are similar? A. ΔRPQ and ΔXZY B. ΔRPQ and ΔMNL C. ΔXZY and ΔMNL D. ΔRPQ, ΔXZY and ΔMNL are similar to one another
   CBSE practice 2021-221 markMCQ
9. Shown below are two triangles such that length of two sides of each is known. (Note: The figures are not to scale.) Along with the given information, which of these is sufficient to conclude whether ΔKLM is similar to ΔPQR? (i) ∠KLM = ∠PQR (ii) Ratio of KM:PR …
   CBSE practice 2022-231 markvery short
10. Two scalene triangles are given below. 1 (Note: The figures are not to scale.) Anas and Rishi observed them and said the following: Anas: ΔPQR is similar to ΔCBA Rishi: ΔPQR is congruent to ΔCBA Which of them is/are correct? (a) Only Anas (b) Only Rishi (c) Bo…
    CBSE practice 2023-241 markMCQ

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