Tricky Triangles

Geometry Level 3

Given two triangles $ABC$ and $DEF$ such that $AB=DE$ , $BC=EF$ and $\angle A=\angle D$ . Must it be true that the triangles $ABC$ and $DEF$ are similar?

Yes No Impossible to determine

1 solution

展豪張
Apr 3, 2016

If $\angle C\neq 90^\circ$ there are two cases, one is $\angle F=\angle C$ (which means not only similar, but also congruent), and the other one is $\angle F=180^\circ - \angle C$ (which means not similar).

Tricky Triangles

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