Question

Two angles and one side in a triangle are equivalent to those in another triangle. Are the remaining sides and angles equivalent?

Answer 1

What does equivalent mean?
I am asking because I don't know what you mean by that.
I have heard of congruent angles and segments and corresponding angles and segments, but I have not heard of equivalent angles and segments.

Answer 2

If by equivalent you mean they are congruent, then think of ASA and CPCTC.