Please match these terms and definitions for geometry

  see below

Step-by-step explanation:

There are some subtleties here.

Drawing conclusions

When conclusions are drawn based on patterns, it is called inductive reasoning. When those conclusions are drawn based on facts, it is called deductive reasoning.

Theories and proofs

When a pattern is observed, it gives rise to a conjecture. If there is a counterexample, then the conjecture must be declared false. If an argument can be made based on logic, then the conjecture is said to have a proof. A proven conjecture (statement) can then be referred to as a theorem.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled