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If Δ ABC and Δ DEF are similar… (Class 10 Maths 2026, Q7)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 7

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section A, question 7, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q7 · 1 mark · MCQTriangles

If ABC and DEF are similar such that AB = DE and BC = 8 cm, then EF is equal to :

  1. (A)4 cm
  2. (B)8 cm
  3. (C)12 cm
  4. (D)16 cm

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

Corresponding sides of similar triangles are in the same ratio.

Hint 2

Find AB/DE first.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Since , .

  2. From we get . So , which gives cm. Option (d).

    1 mark

Answer: 16 cm, option (d)

Where the marks are

  • Uses the ratio of corresponding sides to get EF = 16 cm, option (d) (1 mark)

Revise the chapter

  • Chapter: Triangles (notes, formulas, where marks are lost and every past question)
Practise this chapterBoard-style questions from Triangles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/1/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.