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If in △ ABC and △… (Class 10 Maths Basic SQP 2026-27, Q16)

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MathsCBSE Class 10 · Basic · Sample paper, session 2026-27 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 16

From the official CBSE sample question paper for 2026-27, section A, question 16, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q16 · 1 mark · MCQTriangles

If in and , , and , then the two triangles are

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

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2026-27.

Hints

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

Hint 1

Which similarity criterion uses two equal angles?

Hint 2

For congruence the corresponding sides must be equal. 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. Two pairs of angles are equal, so by AA similarity.

  2. Since , corresponding sides are not equal, so the triangles are not congruent. Option (B).

    1 mark

Answer: Similar but not congruent, option (B)

Where the marks are

  • States AA similarity and notes AB ≠ PQ, so not congruent (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 paperSample paper 2026-27 (Basic): 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.