In triangles ABC and DEF,angle B = angle E,an | vedclass

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Question

(A) In $	riangle ABC$ and $	riangle DEF$,we are given $\angle B = \angle E$ and $\angle F = \angle C$.By the $AA$ (Angle-Angle) similarity criterion

Vedclass · Accepted Answer

similar but not congruent

Vedclass · Answer

(A) In $	riangle ABC$ and $	riangle DEF$,we are given $\angle B = \angle E$ and $\angle F = \angle C$.By the $AA$ (Angle-Angle) similarity criterion,since two angles of $	riangle ABC$ are equal to two corresponding angles of $	riangle DEF$,the triangles are similar,i.e.,$	riangle ABC \sim 	riangle DEF$.For two triangles to be congruent,their corresponding sides must be equal. Here,it is given that $AB = 3 DE$,which implies $AB 
eq DE$.Since the corresponding sides are not equal,the triangles are not congruent.Therefore,the triangles are similar but not congruent.

In triangles $ABC$ and $DEF$,$\angle B = \angle E$,$\angle F = \angle C$ and $AB = 3 DE$. Then,the two triangles are

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