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Directions: Two… (Class 10 Maths Basic SQP 2026-27, Q20)

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

CBSE Class 10 Mathematics Basic sample paper 2026-27: question 20

From the official CBSE sample question paper for 2026-27, section A, question 20, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q20 · 1 mark · Assertion-reasonCompetency-basedTriangles

Directions: Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.

ASSERTION (A): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

REASON (R): Line drawn from midpoint of one side of triangle parallel to another will bisect the third side.

  1. (A)Both Assertion (A) and Reason (R) are true and (R) is the correct explanation of Assertion (A).
  2. (B)Both Assertion (A) and Reason (R) are true but (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 2026-27.

Hints

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

Hint 1

A is the converse of which theorem?

Hint 2

Ask whether R actually justifies A or is a separate fact.

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. A is the converse of the Basic Proportionality Theorem, so it is true. R is the mid-point theorem result, also true.

  2. R deals with a special case about bisecting a side; it does not explain the general converse of BPT. Option (B).

    1 mark

Answer: Option (B)

Where the marks are

  • Recognises both statements as true and R as not explaining A (1 mark)

Revise the chapter

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.