How would you prove the triangles congruent?

first, prove that /ab is congruent to /bc because b is equidistant from a and c. then use sss to prove the triangles are congruent.

first, prove that ∠e is congruent to ∠d because congruent parts of congruent triangles are congruent. then use sas to prove the triangles are congruent.

first, prove that ∠abe is congruent to ∠cbd because vertical angles are congruent. then use ssa to prove the triangles are congruent.

there is not enough information to prove that the triangles are congruent.