CBSE2026Class Class 10 · Mathematics1 Marks · Mcq✅ Verified
If in two triangles ABC and DEF, $\frac{AB}{EF}=\frac{BC}{DE}=\frac{CA}{DF}$; then:
A. ΔDEF ~ ΔBCA
B. ΔDEF ~ ΔCBA
C. ΔABC ~ ΔDEF
D. ΔABC ~ ΔDFE
✅ Answer & Solution
✅ Correct Answer: B
Matching the sides: AB corresponds to EF, BC corresponds to DE, CA corresponds to DF. Common vertex B appears in AB and BC, corresponding to the common vertex E (in EF and DE). So $B\to E$, hence $A\to F$ and $C\to D$. This gives $\triangle ABC \sim \triangle FED$, i.e. $\triangle DEF \sim \triangle CBA$.
