Question

1 determine whether the triangles are congruent, and if so, write a congruency statement. a not congruent b congruent; △abc≅△efd c congruent; △abc≅△def d congruent; △abc≅△fed

Explanation:

Step1: Identify corresponding sides

In \(\triangle ABC\) and \(\triangle EFD\), \(AB = 31\) ft, \(BC=30\) ft, \(AC = 15\) ft; in \(\triangle EFD\), \(EF = 31\) ft, \(FD=30\) ft, \(ED = 15\) ft.

Step2: Apply SSS congruence criterion

Since \(AB = EF\), \(BC = FD\), \(AC=ED\), by the Side - Side - Side (SSS) congruence criterion, \(\triangle ABC\cong\triangle EFD\).

Answer:

B. congruent; \(\triangle ABC\cong\triangle EFD\)