Answer:
Option b.
Step-by-step explanation:
Given information : \(\triangle DE F\cong \triangle FGH\)
We need to check which congruence statement does not necessarily describe the triangles shown if \(\triangle DE F\cong \triangle FGH\).
Corresponding part of congruent triangles are congruent.
\(\angle D\cong \angle F\)
\(\angle E\cong \angle G\)
\(\angle F\cong \angle H\)
Using these corresponding angles we can say that
\(\triangle ED F\cong \triangle GFH\)
\(\triangle FDE \cong \triangle HFG\)
\(\triangle EFD\cong \triangle GHF\)
\(\triangle FED\cong \triangle HGF\)
In the given options \(\triangle ED F\cong \triangle GFH\), \(\triangle EFD\cong \triangle GHF\) and \(\triangle FED\cong \triangle HGF\) congruence statement are true.
Only \(\triangle FDE \cong \triangle FGH\) does not necessarily describe the triangles.
Therefore, the correct option is b.
