Question

which statement indicates that the triangles in each pair are congruent? a) △efg≅△tef b) △feg≅△eft c) △efg≅△tfe d) △feg≅△fet answer a b c

Explanation:

Step1: Identify corresponding parts

By looking at the markings (angles and sides), we match vertices.

Step2: Determine congruent - triangle notation

The correct notation should have corresponding vertices in the same order. In the given figure, $\angle G$ corresponds to $\angle FTE$, $\angle FEG$ corresponds to $\angle TFE$, and $\overline{EG}$ corresponds to $\overline{TF}$, $\overline{FG}$ corresponds to $\overline{ET}$, $\overline{EF}$ is common. So, $\triangle EFG\cong\triangle TEF$.

Answer:

A. $\triangle EFG\cong\triangle TEF$