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The criterion of… (Class 10 Maths Basic 2023, Q15)

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MathsCBSE Class 10 · Basic · Board exam 2023, set 430/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2023: question 15

Set in the CBSE Class 10 board exam of 2023, paper 430/1/1, section A, question 15, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q15 · 1 mark · MCQTriangles

In the above figure, the criterion of similarity by which is :

  1. (A)SSA (Side – Side – Angle) Similarity
  2. (B)ASA (Angle – Side – Angle) Similarity
  3. (C)SAS (Side – Angle – Side) Similarity
  4. (D)AA (Angle – Angle) Similarity

Figure in the paper: Triangle ABC with BC = 3.5 cm, AB = 2.2 cm and angle B = 50°. Triangle PQR with QR = 7 cm, PQ = 4.4 cm and angle Q = 50°. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 430/1/1.

Hints

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

Hint 1

Compare the ratios of the given sides.

Hint 2

Is the 50° angle between those 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. , , and included .

  2. Two sides proportional with included angle equal ⇒ SAS similarity. Option (C).

    1 mark

Answer: SAS similarity, option (C)

Where the marks are

  • Shows sides proportional with equal included angle, 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 430/1/1 (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.