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Each of the… (Class 10 Maths Basic SQP 2025-26, Q19)

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MathsCBSE Class 10 · Basic · Sample paper, session 2025-26 · 1 mark · Assertion-reason

CBSE Class 10 Mathematics Basic sample paper 2025-26: question 19

From the official CBSE sample question paper for 2025-26, section A, question 19, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q19 · 1 mark · Assertion-reasonCompetency-basedTriangles

Each of the following questions contains two statements i.e., ASSERTION and REASON, and has following four choices. Only one of which is the correct answer.

ASSERTION (A): Line joining the midpoints of two sides of triangle is parallel to the third side.

REASON (R): If a line divides two sides of a triangle in the same ratio then it is parallel to the third side.

  1. (A)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  2. (B)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  3. (C)Assertion (A) is true but reason (R) is false.
  4. (D)Assertion (A) is false but reason (R) is true.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2025-26.

Hints

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

Hint 1

R is the converse of the Basic Proportionality Theorem.

Hint 2

In what ratio do midpoints divide the two 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. R is true: it is the converse of the Basic Proportionality Theorem.

  2. The midpoints divide both sides in the ratio 1 : 1, so by R the line joining them is parallel to the third side. Hence A is true and R explains it, option (A).

    1 mark

Answer: Option (A)

Where the marks are

  • Recognises that both statements are true and that R explains 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 2025-26 (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.