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In △ ABC and △ DEF, AB/DE =… (Class 10 Maths 2023, Q13)

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MathsCBSE Class 10 · Standard · Board exam 2023, set 30/5/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2023: question 13

Set in the CBSE Class 10 board exam of 2023, paper 30/5/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q13 · 1 mark · MCQTriangles

In and , . Which of the following makes the two triangles similar ?

  1. (A)
  2. (B)
  3. (C)
  4. (D)

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 30/5/1.

Hints

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

Hint 1

Which similarity criterion uses two side ratios?

Hint 2

Find the angle between DE and FD.

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. For SAS similarity the included angles must be equal: in , AB and BC include ; in , DE and FD include .

  2. So . Option (B).

    1 mark

Answer: ∠B = ∠D, option (B)

Where the marks are

  • Identifies the included angles for SAS (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 paper2023 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.