Triangles
NCERT Exemplar Ch 06
CBSE_NCERT_EXEMPLAR_CH06
Grade 10
Question:
If in two triangles $ABC$ and $PQR$, $\dfrac{AB}{QR} = \dfrac{BC}{PR} = \dfrac{CA}{PQ}$, then:
$\Delta PQR \sim \Delta CAB$
$\Delta PQR \sim \Delta ABC$
$\Delta CBA \sim \Delta PQR$
$\Delta BCA \sim \Delta PQR$
Step-by-Step Solution
Key Concept: Order of vertices matters in similarity notation based on corresponding side ratios.
Stepwise Solution:
Ratio $\dfrac{PQ}{CA} = \dfrac{QR}{AB} = \dfrac{RP}{BC}$. [0.5 Mark]
Hence $\Delta PQR \sim \Delta CAB$. [0.5 Mark]
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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