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In triangles ABC and DEF, ∠ B =… (Class 10 Maths 2025, Q8)

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

CBSE Class 10 Mathematics Standard 2025: question 8

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

Q8 · 1 mark · MCQTriangles

In triangles ABC and DEF, , and . Then, the two triangles are :

  1. (A)congruent but not similar
  2. (B)congruent as well as similar
  3. (C)neither congruent nor similar
  4. (D)similar but not congruent

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

Hints

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

Hint 1

Two pairs of equal angles give which similarity criterion?

Hint 2

Congruent triangles must have equal corresponding sides. Is that true here?

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. and , so [AA similarity].

  2. , so corresponding sides are not equal (scale factor 3). The triangles are therefore not congruent: they are similar but not congruent, which is option (D).

    1 mark

Answer: Similar but not congruent, option (D)

Where the marks are

  • Uses AA similarity and (sides unequal) to choose 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 paper2025 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.