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△ BAC is similar to (Class 10 Maths Basic SQP 2024-25, Q8)

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MathsCBSE Class 10 · Basic · Sample paper, session 2024-25 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic sample paper 2024-25: question 8

From the official CBSE sample question paper for 2024-25, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQTriangles

In the given figure, is similar to

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

Figure in the paper: A right-angled triangle ABC with the right angle at C (marked). Point D lies on AB extended beyond... on segment AB with a right angle marked at D, and a vertical segment DE from D up to E such that A, C, E are collinear and A, D, B are collinear, with BC drawn. Points A, B, C, D, E are labelled. See it in the official paper.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

Look for the common angle and the right angles.

Hint 2

Match each vertex with the vertex that has the equal angle.

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. In and , is common and .

  2. So by AA similarity, B↔E, A↔A, C↔D, which gives , option (B).

    1 mark

Answer: △EAD, option (B)

Where the marks are

  • Uses AA similarity with the correct correspondence of vertices (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 2024-25 (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.