Final answer:
The converse of the triangle parts relationship theorem would prove that ab and ac are congruent.
Step-by-step explanation:
The statement that would prove that ab ≅ ac is the converse of the triangle parts relationship theorem.
The converse of the triangle parts relationship theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent as well. In this case, if ab and ac are congruent, it implies that angles opposite to these sides are congruent, thus proving ab ≅ ac.