Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

Answer 1

well, you've posted this a few times. Did you think of googling your question? Many hits.

Maybe you could start here:

http://www.regentsprep.org/regents/math/geometry/gp4/ltriangles.htm

Answer 2

A.A.A congruence

Answer 3

man. of all the possible sets, AAA does not guarantee congruence -- only similarity.