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Which of the following… (Class 10 Maths 2025, Q8)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 8

Set in the CBSE Class 10 board exam of 2025, paper 30/5/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQTriangles

Which of the following statements is false?

  1. (A)Two right triangles are always similar.
  2. (B)Two squares are always similar.
  3. (C)Two equilateral triangles are always similar.
  4. (D)Two circles are always similar.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/5/1.

Hints

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

Hint 1

Similar figures need equal corresponding angles.

Hint 2

Do all right triangles have the same other angles?

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. Squares, equilateral triangles and circles all have the same shape, so they are always similar.

  2. Two right triangles may have different acute angles (e.g. 30° and 45°), so they need not be similar. Statement (A) is false.

    1 mark

Answer: Option (A)

Where the marks are

  • Identifies right triangles need not be similar (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 paper2025 board paper, set 30/5/1 (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.