MathsCBSE Class 10 · Standard · Board exam 2026, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 5

Set in the CBSE Class 10 board exam of 2026, paper 30/5/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQTriangles

Devansh proved that $△ A B C \sim △ P QR$ using SAS similarity criteria. If he found $∠ C = ∠ R$ , then which of the following was proved true?

(A) $\frac{A C}{A B} = \frac{P R}{P Q}$
(B) $\frac{B C}{A C} = \frac{P R}{QR}$
(C) $\frac{A C}{B C} = \frac{P R}{P Q}$
(D) $\frac{A C}{B C} = \frac{P R}{QR}$

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/5/1.

Hints

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

Hint 1

In SAS, the angle is between the two sides.

Hint 2

Which sides meet at C and at R?

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.

In SAS similarity, the equal angles must be included between the proportional sides. $∠ C$ lies between AC and BC; $∠ R$ lies between PR and QR.
So $\frac{A C}{B C} = \frac{P R}{QR}$ , option (D).
1 mark

Answer: Option (D)

Where the marks are

Identifies sides enclosing $∠ C$ and $∠ R$ (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 paper2026 board paper, set 30/5/1 (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.

CBSE Class 10 Mathematics Standard 2026: question 5

Hints

Step-by-step solution

Revise the chapter

More questions from Triangles