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Triangles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsTriangles1 Mark
MCQ
In triangles $A B C$ and $D E F, \angle B=\angle E, \angle F=\angle C$ and $A B=3 D E$. Then, the two triangles are
  • A
    congruent but not similar
  • ✓
    similar but not congruent
  • C
    neither congruent nor similar
  • D
    congruent as well as similar
✓

Answer

Correct option: B.
similar but not congruent
(B)similar but not congruent
In triangles $A C B$ and $D E F$, it is given that $\angle B=\angle E, \angle F=\angle C$. So by $A A$-criterion of similarity $\triangle A B C \sim \triangle D E F$. It is also given that $A B=3 D E$. So, $\triangle A B C$ is not congruent to $\triangle D E F$ as $A B \neq D E$. Thus $\triangle A B C \sim \triangle D E F$ but $\triangle A B C$ is not congruent to $\triangle D E F$.

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