What do you need to know about two figured to be convinced that the two figures are congruent?

It depends on what the figure looks like. You could have SSS is If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. As you can see, the SSS Postulate does not concern itself with angles at all.
SAS is have two triangles where we know two angles and the included side are equal.
ASA If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent
Idk what the figures you are talking about but I gave u some for triangles. If you comment back I can help u if you give me the figures you are talking about