CBSE Class 10 Mathematics Basic 2026: question 20
Set in the CBSE Class 10 board exam of 2026, paper 430/2/1, 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
Assertion (A) : All congruent triangles are similar. Reason (R) : In congruent triangles, the ratio of corresponding sides is .
- (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/2/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
What are the conditions for two triangles to be similar?
Hint 2
Congruent triangles have corresponding sides in the ratio 1 : 1.
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.
- ½ mark
Congruent triangles have equal corresponding angles and corresponding sides in the ratio , so (R) is true.
- ½ mark
Because corresponding sides are proportional (ratio 1) and the angles are equal, congruent triangles are similar. Thus (R) correctly explains (A). Option (A).
Answer: Option (A)
Where the marks are
- States both are true and R explains A (1 mark)
Revise the chapter
- Chapter: Triangles (notes, formulas, where marks are lost and every past question)
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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.