SOLUTION: can you state all reasons for congruency ?

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Question 457439: can you state all reasons for congruency ?
Answer by MathLover1(20855) About Me  (Show Source):
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two geometric figures are congruent or equivalent if the are the same shape and size

Mathematically, two geometric figures or objects are congruent if there is a combination of a translation (shift), rotation and/or reflection so that the figures match+exactly. 
Two sides (line segments) AB and CD of the same or different geometric figures are congruent if the are the same length, that is if: AB=CD.
Two angles ABC and DEF in the same or different geometric figures are congruent if they are of equal size (with congruency the direction of the angle is NOT important, ABC=CBA ).