Triangles
NCERT Exemplar
CBSE
Grade 10
Question:
If in two triangles $ABC$ and $PQR$, $\dfrac{AB}{QR} = \dfrac{BC}{PR} = \dfrac{CA}{PQ}$, then:
(a) $\Delta PQR \sim \Delta CAB$
(b) $\Delta PQR \sim \Delta ABC$
(c) $\Delta CBA \sim \Delta PQR$
(d) $\Delta BCA \sim \Delta PQR$
Step-by-Step Solution
Key Concept: Order of vertices matters in similarity notation based on corresponding side ratios.
Ratio $\dfrac{PQ}{CA} = \dfrac{QR}{AB} = \dfrac{RP}{BC}$. [0.5 Mark]
Hence $\Delta PQR \sim \Delta CAB$. [0.5 Mark]
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🎯 Official CBSE Marking Scheme:
Matching side ratio correspondence: 0.5 Mark
Writing correct similarity ordering: 0.5 Mark
Correct Answer: $\Delta PQR \sim \Delta CAB$
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