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If in Δ ABC and Δ… (Class 10 Maths Basic SQP 2023-24, Q7)

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MathsCBSE Class 10 · Basic · Sample paper, session 2023-24 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2023-24: question 7

From the official CBSE sample question paper for 2023-24, 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 in ABC and PQR, , then:

  1. (A)PQR CAB
  2. (B)PQR ABC
  3. (C)CBA PQR
  4. (D)BCA PQR

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2023-24.

Hints

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

Hint 1

Pair up the sides that are in the same ratio.

Hint 2

A vertex shared by two sides corresponds to the vertex shared by their matching sides.

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. Match the sides in proportion: AB↔QR, BC↔RP, CA↔PQ. So the vertex correspondence is A↔Q, B↔R, C↔P.

  2. Hence , which is the same as (SSS similarity), option (A).

    1 mark

Answer: , option (A)

Where the marks are

  • Gets the correct vertex correspondence, giving option (A) (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 2023-24 (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.