Question

question 8 of 10 is △abc≅ △def? if so, name the postulate that applies. given: ab̅≅de̅ bc̅≅ef̅ ∠b≅∠e a. congruent - sss b. congruent - asa c. might not be congruent d. congruent - sas

Explanation:

Step1: Recall congruence postulates

The Side - Angle - Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Step2: Identify given information

We are given $\overline{AB}\cong\overline{DE}$, $\overline{BC}\cong\overline{EF}$, and $\angle B\cong\angle E$. Here, the congruent angle $\angle B$ is the included angle between $\overline{AB}$ and $\overline{BC}$, and $\angle E$ is the included angle between $\overline{DE}$ and $\overline{EF}$.

Answer:

D. Congruent - SAS